Gauss-Newton-Kurchatov method for the solution of non-linear least-square problems using \(\omega\)-condition

DOI10.1515/GMJ-2023-2043OpenAlexW4382396740MaRDI QIDQ6084454

Naveen Chandra Bhagat, Pradip Kumar Parida

Publication date: 30 November 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2023-2043

zbMATH Keywords

Jacobiandivided differenceleast-square problems\(\omega\)-conditionGauss-Newton-Kurchatov method

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Error analysis and interval analysis (65G99)

Cites Work

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• Two-point method for solving nonlinear equation with nondifferentiable operator
• A derivative free iterative method for solving least squares problems
• On the local convergence of Weerakoon-Fernando method with \(\omega\) continuity condition in Banach spaces
• On an iterative algorithm of order 1.839\(\dots\) for solving the nonlinear least squares problems
• Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces
• Convergence analysis of the Gauss-Newton-Potra method for nonlinear least squares problems
• Convergence and Applications of Newton-type Iterations
• On semilocal convergence of two step Kurchatov method

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