A unified preconditioned minimal residual (PMR) algorithm for matrix problems: Linear systems, multiple right-hand sides linear systems, least squares problems, inversion and pseudo-inversion with application to color image encryption

In this article, we introduce a preconditioned minimal residual (PMR) algorithm designed to address a wide range of matrix equations and linear systems. We illustrate the efficacy of this algorithm through several numerical examples, including the solution of matrix equations. Notably, we tackle var...

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Bibliographic Details
Published in:	Applied numerical mathematics Vol. 220; pp. 216 - 245
Main Authors:	Shirilord, Akbar, Dehghan, Mehdi
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.02.2026
Subjects:	Heat equation Least squares solution Matrix inversion Moore–Penrose pseudo-inverse Multiple right-hand sides systems Optimal stepwise gradient algorithm Preconditioned minimal residual (PMR) algorithm 65F50 Multiple right-hand sides systems Heat equation 65F10 Matrix inversion 65Fxx 65F20 Optimal stepwise gradient algorithm Least squares solution Preconditioned minimal residual (PMR) algorithm Moore–Penrose pseudo-inverse 15A09
ISSN:	0168-9274
Online Access:	Get full text
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