Backward error and perturbation bounds for high order Sylvester tensor equation |
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| Authors: | Xinghua Shi Shuyang Ling |
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| Institution: | Institute of Mathematics, School of Mathematical Sciences , Fudan University , Shanghai 200433 , P.R. China |
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| Abstract: | In this article, we investigate the backward error and perturbation bounds for the high order Sylvester tensor equation (STE). The bounds of the backward error and three types of upper bounds for the perturbed STE with or without dropping the second order terms are presented. The classic perturbation results for the Sylvester equation are extended to the high order case. |
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| Keywords: | Sylvester tensor equation backward error perturbation bound Kronecker product mode-k matricization |
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