A modified CG algorithm for solving generalized coupled Sylvester tensor equations

Changqing Lv and Changfeng Ma

Applied Mathematics and Computation, 2020, vol. 365, issue C

Abstract: In this paper, a modified conjugate gradient (MCG) algorithm is proposed for solving generalized coupled Sylverster tensor equations. If the tensor equations are consistent, we show the solution can be obtained within finite steps in the absence of roundoff errors for any initial value. At last, some numerical examples are provided to illustrate the efficiency and validity of the proposed algorithm.

Keywords: Coupled Sylvester tensor equation; Modified CG method; Kronecker (mode) product; Convergence analysis (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:365:y:2020:i:c:s0096300319306915

DOI: 10.1016/j.amc.2019.124699

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