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

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
Main Authors: Nunthakarn Boonruangkan, Pattrawut Chansangiam
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:AIMS Mathematics
Subjects:
generalized sylvester-transpose matrix equation
gradient
kronecker product
matrix norm
banach fixed-point theorem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021492?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2021492?viewType=HTML

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