Convergence analysis of a gradient iterative algorithm with optimal convergence factor for a generalized Sylvester-transpose matrix equation

Consider a generalized Sylvester-transpose matrix equation with rectangular coefficient matrices. Based on gradients and hierarchical identification principle, we derive an iterative algorithm to produce a sequence of approximated solutions with a reasonable stopping rule concerning a relative norm-...

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Bibliographic Details

Published in:	AIMS mathematics Vol. 6; no. 8; pp. 8477 - 8496
Main Authors:	Boonruangkan, Nunthakarn, Chansangiam, Pattrawut
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.01.2021
Subjects:	banach fixed-point theorem generalized sylvester-transpose matrix equation gradient kronecker product matrix norm
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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