Newton-Type Solvers Using Outer Inverses for Singular Equations

DOI10.1007/978-981-15-3623-6_14zbMath1461.65101OpenAlexW3015798444MaRDI QIDQ5148545

S. M. Shakhno, Ioannis K. Argyros

Publication date: 4 February 2021

Published in: Games and Dynamics in Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-3623-6_14

zbMATH Keywords

Newton type methodsingular equations

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Convergence of the two-step combined method and uniqueness of the solution of nonlinear operator equations
• A Kantorovich-type convergence analysis for the Gauss-Newton-method
• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• A convergence theorem for Newton-like methods in Banach spaces
• Convergence of Newton-like methods for singular operator equations using outer inverses
• Two-step solver for nonlinear equations
• On an iterative algorithm with superquadratic convergence for solving nonlinear operator equations
• A Newton-Raphson method for the solution of systems of equations
• Iterative Methods and Their Dynamics with Applications
• Inner, outer, and generalized inverses in banach and hilbert spaces
• Convergence domains of certain iterative methods for solving nonlinear equations
• Uniqueness of the solution in a Kantorovich-type theorem of Häu\ler for the Gauss-Newton Method
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
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