The steepest descent of gradient-based iterative method for solving rectangular linear systems with an application to Poisson's equation

DOI10.1186/s13662-020-02715-9zbMath1482.65052OpenAlexW3033257446MaRDI QIDQ2078458

Adisorn Kittisopaporn, Pattrawut Chansangiam

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02715-9

zbMATH Keywords

Poisson's equationcondition numberiterative methodgradientsteepest descentrectangular linear system

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Iterative numerical methods for linear systems (65F10)

Related Items (3)

Approximated least-squares solutions of a generalized Sylvester-transpose matrix equation via gradient-descent iterative algorithm ⋮ Convergence analysis of gradient-based iterative algorithms for a class of rectangular Sylvester matrix equations based on Banach contraction principle ⋮ Gradient-descent iterative algorithm for solving a class of linear matrix equations with applications to heat and Poisson equations

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