Expanding the applicability of four iterative methods for solving least squares problems

DOI10.1515/awutm-2017-0013zbMath1503.65101OpenAlexW2782625743MaRDI QIDQ2679535

Ioannis K. Argyros, Janak Raj Sharma, Deepak Kumar

Publication date: 23 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/awutm-2017-0013

zbMATH Keywords

local convergenceleast squares problemssecant methodthree-point methodGauss-Newton's methodKurchatov-type method

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10)

Cites Work

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• Different anomalies in a Jarratt family of iterative root-finding methods
• Semilocal convergence of a sixth order iterative method for quadratic equations
• A Kantorovich-type convergence analysis for the Gauss-Newton-method
• On an iterative algorithm of order 1.839\(\dots\) for solving the nonlinear least squares problems
• Convergence of Gauss-Newton's method and uniqueness of the solution
• Iterative Methods and Their Dynamics with Applications
• On an iterative algorithm of order 1.839… for solving nonlinear operator equations^∗)
• Convergence and Complexity of Newton Iteration for Operator Equations
• On the Continuity of the Generalized Inverse

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