Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 365, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2019.124699
Keywords
Coupled Sylvester tensor equation; Modified CG method; Kronecker (mode) product; Convergence analysis
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Funding
- National Science Foundation of China [11901098]
- National Key Research and Development Program of China [2018YFC1504200, 2018YFC0603500]
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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. (C) 2019 Elsevier Inc. All rights reserved.
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