Ioannis K. Argyros

• Artículos de revistas (157)
• Colaboraciones en obras colectivas (3)
• Libros (4)

• Artículos de revistas

  • Extended convergence ball for an efficient eighth order method using only the first derivative

    Ioannis K. Argyros, Debasis Sharma, Christopher I. Argyros, Sanjaya Kumar Parhi, Shanta Kumari Sunanda

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 2, 2023, págs. 319-331

    • Resumen
    • Texto Completo Ejemplar
    

  • A study on the local convergence and complex dynamics of Kou’s family of iterative methods

    Ioannis K. Argyros, Debasis Sharma, Sanjay Kumar, Shanta Kumari Sunanda

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 79, Nº. 2, 2022, págs. 365-381

    • Resumen
    

  • Extended domain for fifth convergence order schemes

    Ioannis K. Argyros, Santhosh George

    Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 23, Nº. 1, 2021, págs. 97-108

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  • Convergence Analysis of a Fifth-Order Iterative Method Using Recurrence Relations and Conditions on the First Derivative

    S. George, Ioannis K. Argyros, P. Jidesh, M. Mahapatra, M. Saeed

    Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 18, Nº. 2, 2021

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  • Achieving an extended convergence analysis for the secant method under a restricted Hölder continuity condition

    H. M. Ren, Ioannis K. Argyros

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 78, Nº. 3, 2021, págs. 335-345

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  • Two-point methods for solving equations and systems of equations

    Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 47, Nº. 2, 2020, págs. 255-272

    

  • Local convergence for multistep high order methods under weak conditions

    Ioannis K. Argyros, Ramandeep Behl, Daniel González Sánchez, S. S. Motsa

    Applicationes mathematicae, ISSN 1233-7234, Vol. 47, Nº. 2, 2020, págs. 293-304

    

  • Ball convergence for a sixth-order multi-point method in Banach spaces under weak conditions

    Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 47, Nº. 1, 2020, págs. 133-144

    

  • Extensions of Kantorovich-type theorems for Newton’s method

    Ioannis K. Argyros, Santhosh George, Daya Ram Gaur

    Applicationes mathematicae, ISSN 1233-7234, Vol. 47, Nº. 1, 2020, págs. 145-153

    

  • Ball convergence for a two-step fourth order derivative-free method for nonlinear equations

    Ioannis K. Argyros, Ramandeep Behl, S. S. Motsa

    Applicationes mathematicae, ISSN 1233-7234, Vol. 46, Nº. 2, 2019, págs. 253-263

    

  • Convergence for variants of Chebyshev–Halley methods using restricted convergence domains

    Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 46, Nº. 1, 2019, págs. 115-126

    

  • Semilocal convergence analysis of a fifth-order method using recurrence relations in Banach space under weak conditions

    Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 45, Nº. 2, 2018, págs. 223-231

    

  • Expanding the applicability of a fifth-order convergent method in a Banach space under weak conditions

    Ioannis K. Argyros, Ramandeep Behl, S. S. Motsa

    Applicationes mathematicae, ISSN 1233-7234, Vol. 45, Nº. 1, 2018, págs. 91-101

    

  • Ball comparison between Jarratt’s and other fourth order method for solving equations

    Ioannis K. Argyros, Santhosh George

    Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 20, Nº. 3, 2018, págs. 65-79

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  • Local convergence for an almost sixth order method for solving equations under weak conditions

    Ioannis K. Argyros, Santhosh George

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 75, Nº. 2, 2018, págs. 163-171

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  • Local convergence of a Newton–Traub composition in Banach spaces

    Janak Raj Sharma, Ioannis K. Argyros

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 75, Nº. 1, 2018, págs. 57-68

    

  • Local convergence of Newton-HSS methods with positive definite Jacobian matrices under generalized conditions

    Ioannis K. Argyros, Janak Raj Sharma, Deepak Kumar

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 75, Nº. 1, 2018, págs. 95-109

    

  • A convergence analysis for extended iterative algorithms with applications to fractional and vector calculus

    George A. Anastassiou, Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 44, Nº. 2, 2017, págs. 197-214

    

  • Expanding the applicability of inexact Newton methods using restricted convergence domains

    Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 44, Nº. 1, 2017, págs. 123-133

    

  • Ball convergence theorem for a Steffensen-type third-order method

    Santhosh George, Ioannis K. Argyros

    Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 51, Nº. 1, 2017, págs. 1-14

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  • Ball convergence of the Newton–Gauss method in Banach space

    Ioannis K. Argyros, Janak Raj Sharma, Deepak Kumar

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 74, Nº. 4, 2017, págs. 429-439

    

  • Ball convergence for an eighth order efficient method under weak conditions in Banach spaces

    Ioannis K. Argyros, Santhosh George, Monnanda Erappa Shobha

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 74, Nº. 4, 2017, págs. 513-521

    

  • Improved Chebyshev–Halley family of methods with seventh and eighth order of convergence for simple roots

    Ramandeep Behl, Ioannis K. Argyros, S. S. Motsa

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 74, Nº. 4, 2017, págs. 643-665

    

  • On the convergence of secant-like algorithms with applications to generalized fractional calculus

    George A. Anastassiou, Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 43, Nº. 2, 2016, págs. 191-206

    

  • Local convergence for a family of iterative methods based on decomposition techniques

    Ioannis K. Argyros, Santhosh George, Shobha Monnanda Erappa

    Applicationes mathematicae, ISSN 1233-7234, Vol. 43, Nº. 1, 2016, págs. 133-143

    

  • The majorant method in the theory of Newton–Kantorovich approximations and generalized Lipschitz conditions

    Ioannis K. Argyros, Said Hilout

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 291, Nº 1 (1 January 2016), 2016, págs. 332-347

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  • Extending the applicability of the Gauss-Newton method for convex composite optimization using restricted convergence domains and average Lipschitz conditions

    Ioannis K. Argyros, Santhosh George

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 73, Nº. 3, 2016, págs. 219-236

    

  • On an iterative method for unconstrained optimization

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 42, Nº. 4, 2015, págs. 333-342

    

  • Improved local convergence analysis of inexact Newton-like methods under the majorant condition

    Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 42, Nº. 4, 2015, págs. 343-357

    

  • Local convergence for a multi-point family of super-Halley methods in a Banach space under weak conditions

    Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 42, Nº. 2-3, 2015, págs. 193-203

    

  • A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators

    Ioannis K. Argyros, D. González

    Applicationes mathematicae, ISSN 1233-7234, Vol. 42, Nº. 1, 2015, págs. 29-56

    

  • Local Convergence for an Improved Jarratt-type Method in Banach Space

    Ioannis K. Argyros, Daniel González Sánchez

    IJIMAI, ISSN-e 1989-1660, Vol. 3, Nº. 4, 2015, págs. 20-25

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  • Ball Convergence for Steffensen-type Fourth-order Methods

    Ioannis K. Argyros, S. George

    IJIMAI, ISSN-e 1989-1660, Vol. 3, Nº. 4, 2015, págs. 27-42

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  • Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high convergence order

    Ioannis K. Argyros, Santhosh George, Ángel Alberto Magreñán Ruiz

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 282, Nº 1 (July 2015), 2015, págs. 215-224

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  • On the convergence of efficient King–Werner-type methods of order

    Ioannis K. Argyros, Hongmin Ren

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 285, Nº 1 (September 2015), 2015, págs. 169-180

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  • Extended convergence results for the Newton–Kantorovich iteration

    Ioannis K. Argyros, Ángel Alberto Magreñán Ruiz

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 286, Nº 1 (1 October 2015), 2015, págs. 54-67

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  • Extending the convergence domain of the Secant and Moser method in Banach Space

    Ioannis K. Argyros, Ángel Alberto Magreñán Ruiz

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 290, Nº 1, 2015, págs. 114-124

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  • Local convergence analysis of inexact Gauss-Newton method for singular systems of equations under majorant and center-majorant condition

    Ioannis K. Argyros, Daniel González Sánchez

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 69, Nº. 1, 2015, págs. 37-51

    

  • Converge for iterative methods on Banach spaces of a convergence structure with applications to fractional calculus

    George A. Anastassiou, Ioannis K. Argyros

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 71, Nº. 1, 2015, págs. 23-37

    

  • Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations

    Ángel Alberto Magreñán Ruiz, Ioannis K. Argyros

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 71, Nº. 1, 2015, págs. 39-55

    

  • Ball comparison between two optimal eight-order methods under weak conditions

    Ioannis K. Argyros, Santhosh George

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 72, Nº. 1, 2015, págs. 1-11

    

  • Local convergence for some high convergence order Newton-like methods with frozen derivatives

    Ioannis K. Argyros, Santhosh George

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 70, Nº. 1, 2015-10, págs. 47-59

    

  • Local convergence of two competing third order methods in Banach space

    Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 41, Nº. 4, 2014, págs. 341-350

    

  • Newton-type iterative methods for nonlinear ill-posed Hammerstein-type equations

    Monnanda Erappa Shobha, Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 41, Nº. 1, 2014, págs. 107-129

    

  • Weaker Kantorovich type criteria for inexact Newton methods

    Ioannis K. Argyros, Sanjay K. Khattri

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 261, Nº 1, 2014, págs. 103-117

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  • Expanding the applicability of Newton's method using Smale's -theory

    Ioannis K. Argyros, Said Hilout, Sanjay K. Khattri

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 261, Nº 1, 2014, págs. 183-200

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  • Traub-type high order iterative procedures on Riemannian manifolds

    Sergio Amat Plata, Ioannis K. Argyros, Sonia Busquier Sáez, Rodrigo Castro Marín, Sergio Plaza Salinas

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 63, Nº. 1, 2014, págs. 27-52

    

  • Extending the applicability of Newton's method by improving a local result due to Dennis and Schnabel

    Ioannis K. Argyros, D. González

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 63, Nº. 1, 2014, págs. 53-63

    

  • Expanding the applicability of the Gauss-Newton method for convex optimization under a majorant condition

    Ángel Alberto Magreñán Ruiz, Ioannis K. Argyros

    SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 65, Nº. 1, 2014, págs. 37-56

    

  • An improved convergence analysis of Newton's method for twice Fréchet differentiable operators

    Ioannis K. Argyros, Sanjay K. Khattri

    Applicationes mathematicae, ISSN 1233-7234, Vol. 40, Nº. 4, 2013, págs. 459-481

    

  • On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations

    Ioannis K. Argyros, Santhosh George

    Applicationes mathematicae, ISSN 1233-7234, Vol. 40, Nº. 3, 2013, págs. 367-382

    

  • Inexact Newton method under weak and center-weak Lipschitz conditions

    Ioannis K. Argyros, Sanjay K. Khattri

    Applicationes mathematicae, ISSN 1233-7234, Vol. 40, Nº. 2, 2013, págs. 237-258

    

  • Expanding the applicability of two-point Newton-like methods under generalized conditions

    Ioannis K. Argyros, Said Hilout

    Applicationes mathematicae, ISSN 1233-7234, Vol. 40, Nº. 1, 2013, págs. 63-90

    

  • Extending the applicability of Newton's method using nondiscrete induction

    Ioannis K. Argyros, Said Hilout

    Czechoslovak mathematical journal, ISSN 0011-4642, Vol. 63, Nº 1, 2013, págs. 115-141

    

  • On the local convergence of fast two-step Newton-like methods for solving nonlinear equations

    Ioannis K. Argyros, Said Hilout

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 245, Nº 1, 2013, págs. 1-9

    

  • A new convergence analysis for the two-step Newton Method for order three

    Ioannis K. Argyros, Sanjay K. Khattri

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 32, Nº. 1, 2013, págs. 73-90

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  • Improved ball convergence of Newton's method under general conditions

    Ioannis K. Argyros, Hongmin Ren

    Applicationes mathematicae, ISSN 1233-7234, Vol. 39, Nº. 3, 2012, págs. 365-375

    

  • On the Halley method in Banach spaces

    Ioannis K. Argyros, Hongmin Ren

    Applicationes mathematicae, ISSN 1233-7234, Vol. 39, Nº. 2, 2012, págs. 243-255

    

  • Improved local convergence of Newton's method under weak majorant condition

    Ioannis K. Argyros, Said Hilout

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 236, Nº 7, 2012, págs. 1892-1902

    

  • Majorizing sequences for iterative methods

    Ioannis K. Argyros, Said Hilout

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 236, Nº 7, 2012, págs. 1947-1960

    

  • On the Gauss-Newton Method for Solving Equations

    Ioannis K. Argyros, Said Hilout

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 1, 2012, págs. 11-24

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  • On the convergence of Newton's method under ω⋆-conditioned second derivative

    Ioannis K. Argyros, Said Hilout

    Applicationes mathematicae, ISSN 1233-7234, Vol. 38, Nº. 3, 2011, págs. 341-355

    

  • Convergence domains under Zabrejko–Zinčenko conditions using recurrent functions

    Ioannis K. Argyros, Said Hilout

    Applicationes mathematicae, ISSN 1233-7234, Vol. 38, Nº. 2, 2011, págs. 193-209

    

  • On the semilocal convergence of Newton-type methods, when the derivative is not continuously invertible

    Ioannis K. Argyros, Said Hilout

    Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 13, Nº. 3, 2011, págs. 1-15

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  • On the solution of generalized equations and variational inequalities

    Ioannis K. Argyros, Said Hilout

    Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 13, Nº. 1, 2011, págs. 45-60

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  • On the semilocal convergence of efficient Chebyshev Secant-type methods

    Ioannis K. Argyros, José Antonio Ezquerro Fernández, José Manuel Gutiérrez Jiménez, Miguel Angel Hernández Verón, Said Hilout

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 235, Nº 10, 2011, págs. 3195-3206

    

  • Kantorovich-type semilocal convergence analysis for inexact Newton methods

    Ioannis K. Argyros, Hongmin Ren

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 235, Nº 9, 2011, págs. 2993-3005

    

  • On the Convergence of Broyden-Like Methods Using Recurrent Functions

    Ioannis K. Argyros, Yeol Je Cho, Said Hilout

    Numerical functional analysis and optimization, ISSN 0163-0563, Vol. 32, Nº 1-3, 2011, págs. 26-40

    

  • On Newton-like methods of "bounded deterioration" using recurrent functions

    Ioannis K. Argyros, Said Hilout

    Aequationes mathematicae, ISSN 0001-9054, Vol. 79, Nº. 1-2, 2010, págs. 61-82

    

  • Inexact Nweton methods and recurrent functions

    Ioannis K. Argyros, S. Hilout

    Applicationes mathematicae, ISSN 1233-7234, Vol. 37, Nº 1, 2010, págs. 113-126

    

  • An Improved Convergence and Complexity Analysis for the Interpolatory Newton Method

    Ioannis K. Argyros

    Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 1, 2010, págs. 147-159

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  • Convergence Conditions for the Secant Method

    Ioannis K. Argyros, Said Hilout

    Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 1, 2010, págs. 161-174

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  • Convergence conditions for Secant-type methods

    Ioannis K. Argyros, Said Hilout

    Czechoslovak mathematical journal, ISSN 0011-4642, Vol. 60, Nº 1, 2010, págs. 253-272

    

  • Extending the Newton�Kantorovich hypothesis for solving equations

    Ioannis K. Argyros, Said Hilout

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 234, Nº 10, 2010, págs. 2993-3006

    

  • Majorizing functions and two-point Newton-type methods

    Jinhai Chen, Ioannis K. Argyros, Ravi P. Agarwal

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 234, Nº 5, 2010, págs. 1473-1484

    

  • On the local convergence of inexact Newton-type methods under residual control-type conditions

    Hongmin Ren, Ioannis K. Argyros

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 235, Nº 1, 2010, págs. 218-228

    

  • A Convergence Analysis of Newton-Like Method for Singular Equations Using Recurrent Functions

    Ioannis K. Argyros, Said Hilout

    Numerical functional analysis and optimization, ISSN 0163-0563, Vol. 31, Nº 2, 2010, págs. 112-130

    

  • A generalized Kantorovich theorem on the solvability of nonlinear equations

    Livinus U. Uko, Ioannis K. Argyros

    Aequationes mathematicae, ISSN 0001-9054, Vol. 77, Nº. 1-2, 2009, págs. 99-106

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  • On the convergence of two-step Newton-type methods of high efficiency index

    Ioannis K. Argyros, S. Hilout

    Applicationes mathematicae, ISSN 1233-7234, Vol. 36, Nº 4, 2009, págs. 465-499

    

  • A convergence analysis of Newton's method under the gammacondition in Banach spaces

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 36, Nº 2, 2009, págs. 225-239

    

  • On the Newton-Kantorovich theorem and nonlinear finite element methods

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 36, Nº 1, 2009, págs. 75-81

    

  • On the convergence of modified Newton methods for solving equations containing a non-differentiable term

    Ioannis K. Argyros, Hongmin Ren

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 231, Nº 2, 2009, págs. 897-906

    

  • On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces

    Ioannis K. Argyros, Yeol Je Cho, Xiaolong Qin

    Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 233, Nº 2, 2009, págs. 208-216

    

  • Secant-like method for solving generalized equations

    Ioannis K. Argyros, Said Hilout

    Methods and applications of analysis, ISSN 1073-2772, Vol. 16, Nº 4, 2009, págs. 469-478

    

  • On the local convergence of a midpoint method in banach spaces under a gamma-type condition

    Ioannis K. Argyros

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 28, Nº. 2, 2009, págs. 155-167

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  • A generalized Kantorovich theorem for nonlinear equations based on function splitting

    Livinus U. Uko, Ioannis K. Argyros

    Rendiconti del Circolo Matematico di Palermo, ISSN 0009-725X, Vol. 58, Nº 3, 2009, págs. 441-451

    

  • On the local convergence of a two-step steffensen-type method for solving generalized equations

    Ioannis K. Argyros, Said Hilout

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 3, 2008, págs. 319-330

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  • On the local convergence of a Newton-type method in Banach spaces under a gamma—type condition

    Ioannis K. Argyros, Said Hilout

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 1, 2008, págs. 1-14

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  • Concerning the semilocal convergence of Newton's method and convex majorants

    Ioannis K. Argyros

    Rendiconti del Circolo Matematico di Palermo, ISSN 0009-725X, Vol. 57, Nº 3, 2008, págs. 331-342

    

  • On the semilocal convergence of a fast two-step Newton method

    Ioannis K. Argyros

    Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 42, Nº. 1, 2008, págs. 15-24

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  • On the gap between the semilocal convergence domains of two Newton methods

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 34, Nº 4, 2007, págs. 193-203

    

  • Newton's methods for variational inclusions under conditioned Fréchet derivative

    Ioannis K. Argyros, S. Hilout

    Applicationes mathematicae, ISSN 1233-7234, Vol. 34, Nº 4, 2007, págs. 349-356

    

  • Newton's methods for variational inclusions under conditioned Fréchet derivative

    Ioannis K. Argyros, S. Hilout

    Applicationes mathematicae, ISSN 1233-7234, Vol. 34, Nº 3, 2007, págs. 349-357

    

  • On the gap between the semilocal convergence domains of two Newton methods

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 34, Nº 2, 2007, págs. 193-204

    

  • On a nonsmooth version of Newton's method using locally lipschitzian operators

    Ioannis K. Argyros

    Rendiconti del Circolo Matematico di Palermo, ISSN 0009-725X, Vol. 56, Nº 1, 2007, págs. 5-16

    

  • A convergence analysis and applications for two-point Newton-like methods in Banach space under relaxed conditions

    Ioannis K. Argyros

    Aequationes mathematicae, ISSN 0001-9054, Vol. 71, Nº. 1-2, 2006, págs. 124-148

    • Resumen
    

  • A weaker affine covariant Newton-Mysovskikh theorem for solving equations

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 33, Nº 3-4, 2006, págs. 355-363

    

  • Convergence of Newton’s method under the gamma condition

    Ioannis K. Argyros

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 25, Nº. 3, 2006, págs. 293-306

    • Resumen
    • Texto completo
    

  • Local convergence for the curve tracing of the homotopy method

    Ioannis K. Argyros

    Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 40, Nº. 2, 2006, págs. 105-110

    • Resumen
    • Texto completo
    

  • An improved convergence analysis of a superquadratic method for solving generalized equations

    Ioannis K. Argyros

    Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 40, Nº. 1, 2006, págs. 65-73

    • Resumen
    • Texto completo
    

  • A new approach for finding weaker conditions for the convergence of Newton's method

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 32, Nº 4, 2005, págs. 465-475

    

  • New sufficient convergence conditions for the secant method

    Ioannis K. Argyros

    Czechoslovak mathematical journal, ISSN 0011-4642, Vol. 55, Nº 1, 2005, págs. 175-187

    

  • On the solution and applications of generalized equations using Newton's method

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 31, Nº 2, 2004, págs. 229-242

    

  • A convergence analysis of Newton-like methods for singular equations using outer or generalized inverses

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 31, Nº 1, 2004, págs. 37-49

    

  • A convergence analysis of Newton-like methods for singular equations using outer or generalized inverses

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 32, Nº 1, 2004, págs. 37-49

    

  • A convergence analysis and applications for the Newton-Kantorovich method in K-normed spaces

    Ioannis K. Argyros

    Rendiconti del Circolo Matematico di Palermo, ISSN 0009-725X, Vol. 53, Nº 2, 2004, págs. 251-271

    

  • On the convergence and application of Stirling's method

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 30, Nº 1, 2003, págs. 109-119

    

  • An Improved Convergence Analysis and Applications for Newton-Like Methods in Banach Space

    Ioannis K. Argyros

    Numerical functional analysis and optimization, ISSN 0163-0563, Vol. 24, Nº 7, 2003, págs. 653-672

    

  • Local convergence theorems for Newton's method from data at one point

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 29, Nº 4, 2002, págs. 481-486

    

  • New unifying convergence criteria for newton-like methods

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 29, Nº 3, 2002, págs. 359-369

    

  • On a new method for enlarging the radius of convergence for Newton's method

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 28, Nº 1, 2001, págs. 1-15

    

  • A Newton-Kantorovich theorem for equations involving m-Frechet differentiable operators and applications in radiative transfer

    Ioannis K. Argyros

    Journal of computational and applied mathematics, ISSN 0377-0427, Nº 1, 2001, págs. 149-159

    

  • A new semilocal convergence theorem for Newton's method in banach space using hypotheses on the second Frechet-derivative

    Ioannis K. Argyros

    Journal of computational and applied mathematics, ISSN 0377-0427, Nº 1, 2001, págs. 369-373

    

  • The effect of rounding errors on a certain class of iterative methods

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 27, Nº 3, 2000, págs. 369-375

    

  • On the approximate solution of implicit functions using the Steffensen method

    Ioannis K. Argyros, Emil Catinas, Ion Pavaloiu

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 19, Nº. 3, 2000, págs. 291-303

    • Resumen
    • Texto completo
    

  • Local convergence of inexact Newton methods under affine invariant conditions and hypotheses on the second Fréchet derivative

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 25, Nº 4, 1999, págs. 457-465

    

  • Local convergence of inexact Newton methods under affine invariant conditions and hypotheses on the second Fréchet derivative

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 26, Nº 4, 1999, págs. 457-465

    

  • A new Kantorovich-type theorem for Newton's method

    Ioannis K. Argyros

    Applicationes mathematicae, ISSN 1233-7234, Vol. 26, Nº 2, 1999, págs. 151-157

    

  • A new convergence theorem for the method of tangent hyperbolas in banach space

    Ioannis K. Argyros

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 18, Nº. 1, 1999, págs. 1-11

    • Resumen
    • Texto completo
    

  • Accesibility of solutions of equations on Banach spaces by a Newton-like methods and applications

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 54, 1999, págs. 83-91

    • Texto Completo Ejemplar
    

  • Accesibility of solutions of equations on Banach spaces by a Stirling-like method

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 54, 1999, págs. 93-98

    • Texto Completo Ejemplar
    

  • Error bounds for the Halley-Werner method in Banach spaces

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 54, 1999, págs. 99-109

    • Texto Completo Ejemplar
    

  • On a two-point Newton method in Banach spaces and the Pták error estimates

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 54, 1999, págs. 111-120

    • Texto Completo Ejemplar
    

  • Extending the region of convergence for a certain class of modified iterative methods on Banach spaces and applications

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 52, 1997, págs. 17-21

    • Texto Completo Ejemplar
    

  • Results involving nondifferentiable equations on Banach spaces with a convergence structure and Newton methods

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 52, 1997, págs. 23-30

    • Texto Completo Ejemplar
    

  • The Halley method in Banach spaces and the Ptak error estimates

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 52, 1997, págs. 31-41

    • Texto Completo Ejemplar
    

  • Error bounds for an almost fourth order method under generalized conditions

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 51, 1996, págs. 19-26

    • Texto Completo Ejemplar
    

  • On the convergence of a Chebysheff-Halley-type method using divided differences of order one

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 51, 1996, págs. 27-45

    • Texto Completo Ejemplar
    

  • A simplified proof concerning the convergence and error bound of a rational cubic method in a Banach space and applications to nonlinear integral equations

    Ioannis K. Argyros, Dong Chen, Q. Qian

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 51, 1996, págs. 47-55

    • Texto Completo Ejemplar
    

  • On a two-point Newton method in Banach spaces of order four and applications

    Ioannis K. Argyros, Dong Chen

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 50, 1995, págs. 5-13

    • Texto Completo Ejemplar
    

  • Improved error bounds for fast two-point Newton methods of order three

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 50, 1995, págs. 15-19

    • Texto Completo Ejemplar
    

  • A study on the order of convergence of a rational iteration for solving quadratic operator equations in a Banach space

    Dong Chen, Ioannis K. Argyros, Q. Qian

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 50, 1995, págs. 35-40

    • Texto Completo Ejemplar
    

  • Parameter-based algorithms for approximating local solution of nonlinear complex equations

    Ioannis K. Argyros, Dong Chen

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 13, Nº. 1, 1994, págs. 53-61

    • Resumen
    • Texto completo
    

  • Error bound representations of Chebyshev-Halley type methods in Banach spaces

    Dong Chen, Ioannis K. Argyros, Q. Qian

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 49, 1994, págs. 57-69

    • Texto Completo Ejemplar
    

  • Results on the Chebyshev method in banach spaces

    Ioannis K. Argyros, Dong Chen

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 12, Nº. 2, 1993, págs. 119-128

    • Resumen
    • Texto completo
    

  • On S-order of convergence

    Dong Chen, Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 48, 1993, págs. 69-76

    • Texto Completo Ejemplar
    

  • On the a posteriori error bounds for a certain iteration under Zabrejko-Nguen assumptions

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 48, 1993, págs. 77-85

    • Texto Completo Ejemplar
    

  • Bounds for the zeros of polynomials

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 47, 1992, págs. 61-66

    • Texto Completo Ejemplar
    

  • On the approximation of quadratic equations in Banach space using finite rank operators

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 47, 1992, págs. 67-76

    • Texto Completo Ejemplar
    

  • A fixed point theorem for orbitally continuous functions.

    Ioannis K. Argyros

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 10, Nº. 17, 1991, págs. 53-57

    • Resumen
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  • On some projection methods for solving nonlinear operator equations with a nondifferentiable term

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 46, 1991, págs. 17-24

    • Texto Completo Ejemplar
    

  • Integral equations for two-point boundary-value problems

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 46, 1991, págs. 25-35

    • Texto Completo Ejemplar
    

  • A mesh independence principle for nonlinear equations using newton's method ano nonlinear projections.

    Ioannis K. Argyros

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 8, Nº. 16, 1990, págs. 48-63

    • Resumen
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  • A mesh independence principle for nonlinear equations using Newton's method and nonlinear projections

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 45, 1990, págs. 19-35

    • Texto Completo Ejemplar
    

  • A note on Newton's method

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 45, 1990, págs. 37-45

    • Texto Completo Ejemplar
    

  • On the solution of compact linear and quadratic operator equations in a Hilbert space

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 45, 1990, págs. 47-52

    • Texto Completo Ejemplar
    

  • On a theorem of Fisher and Khan

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 44, 1989, págs. 13-17

    • Texto Completo Ejemplar
    

  • On a fixed point theorem in a 2-Banach space

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 44, 1989, págs. 19-21

    • Texto Completo Ejemplar
    

  • On quadratic equations

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 44, 1989, págs. 23-32

    • Texto Completo Ejemplar
    

  • On a new iteration for solving chandrasekhar's H-equations

    Ioannis K. Argyros

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 7, Nº. 15, 1988, págs. 21-31

    • Resumen
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  • On some nonlinear equations

    Ioannis K. Argyros

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 7, Nº. 15, 1988, págs. 75-82

    • Resumen
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  • On the approximation of solutions of compact operator equations

    Ioannis K. Argyros

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 7, Nº. 14, 1988, págs. 29-46

    • Resumen
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  • On multilinear equations

    Ioannis K. Argyros

    Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 7, Nº. 14, 1988, págs. 95-105

    • Resumen
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  • A global theorem for the solutions of polynomial equations

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 43, 1988, págs. 93-101

    • Texto Completo Ejemplar
    

  • Vietta-like relations in Banach space

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 43, 1988, págs. 103-107

    • Texto Completo Ejemplar
    

  • On the solution by series of some nonlinear equations

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 42, 1987, págs. 18-23

    • Texto Completo Ejemplar
    

  • Survey on the ideals of the space of bounded linear operators on a separable Hilbert space

    Ioannis K. Argyros

    Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 42, 1987, págs. 24-43

    • Texto Completo Ejemplar
    

• Colaboraciones en obras colectivas

  • Newton's Method for Convex Optimization

    Ioannis K. Argyros, Daniel González Sánchez

    Advances in Iterative Methods for Nonlinear Equations / coord. por Sergio Amat Plata, Sonia Busquier Sáez, 2016, ISBN 978-3-319-39227-1, págs. 23-56

    

  • Inexact Newton Methods on Riemannian Manifolds

    Ioannis K. Argyros, Ángel Alberto Magreñán Ruiz

    Advances in Iterative Methods for Nonlinear Equations / coord. por Sergio Amat Plata, Sonia Busquier Sáez, 2016, ISBN 978-3-319-39227-1, págs. 57-78

    

  • Convergence results for an optimal fourth-order family of methods presented by Sharma

    Ioannis K. Argyros, A. Cordero, Ángel Alberto Magreñán Ruiz, J. R. Torregrosa

    Modelling for engineerin & human behaviour 2015, 2015, ISBN 978-84-608-5355-8, págs. 189-193

    

• Libros

  • Convergence and applications of newton-type iterations

    Ioannis K. Argyros

    New York : Springer, [2008. ISBN 978-0-387-72741-7

    • Resumen
    

  • Computational theory of iterative methods

    Ioannis K. Argyros

    Amsterdam : Elseiver, 2007. ISBN 978-0-444-53162-9

    

  • Polynomial operator equations: in abstract spaces and applications

    Ioannis K. Argyros

    Boca Raton [etc. : CRC, cop. 1998. ISBN 0-8493-8702-7

    

  • The theory and applications of iteration methods

    Ioannis K. Argyros, Ferenc Szidarovszky

    Boca Raton [etc. : CRC Press, cop. 1993. ISBN 0-8493-8014-6

    

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