A modified CG algorithm for solving generalized coupled Sylvester tensor equations

A modified CG algorithm for solving generalized coupled Sylvester tensor equations

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, som...

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Veröffentlicht in:Applied mathematics and computation 2020-01, Vol.365, p.124699, Article 124699
Hauptverfasser: Lv, Changqing, Ma, Changfeng
Format: Artikel
Sprache:eng
Schlagworte:
Convergence analysis
Coupled Sylvester tensor equation
Kronecker (mode) product
Modified CG method
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Zusammenfassung: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2019.124699