A Methodology for Obtaining the Different Convergence Orders of Numerical Method under Weaker Conditions by Ioannis K. Argyros, Samundra Regmi, Stepan Shakhno, Halyna Yarmola

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Method of Third-Order Convergence with Approximation of Inverse Operator for Large Scale Systems by Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola

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On the Convergence of Two-Step Kurchatov-Type Methods under Generalized Continuity Conditions for Solving Nonlinear Equations by Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola

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Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations by Samundra Regmi, Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola

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Gauss–Newton–Secant Method for Solving Nonlinear Least Squares Problems under Generalized Lipschitz Conditions by Ioannis K. Argyros, Stepan Shakhno, Roman Iakymchuk, Halyna Yarmola, Michael I. Argyros

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Extending the Convergence Domain of Methods of Linear Interpolation for the Solution of Nonlinear Equations by Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola

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On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space by Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola

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Extended Convergence of Two Multi-Step Iterative Methods by Samundra Regmi, Ioannis K. Argyros, Jinny Ann John, Jayakumar Jayaraman

“…Iterative methods which have high convergence order are crucial in computational mathematics since the iterates produce sequences converging to the root of a non-linear equation. …”
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Newton-Type Methods for Solving Equations in Banach Spaces: A Unified Approach by Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola

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Symmetric-Type Multi-Step Difference Methods for Solving Nonlinear Equations by Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi, Halyna Yarmola, Michael I. Argyros

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