JP Journal of Algebra, Number Theory and Applications
Volume 43, Issue 2, Pages 125 - 154
(August 2019) http://dx.doi.org/10.17654/NT043020125 |
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SENSITIVITY OF SOME TENSOR EQUATIONS WITH EINSTEIN PRODUCT
Yiling Wu
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Abstract: This paper focuses on the sensitivity of some tensor equations with respect to Einstein product. We investigate the backward error and perturbation bounds of the Sylvester tensor equation Also, we discuss the sensitivity of the solution of the continue-time Laypunov tensor equation and discrete-time Laypunov tensor equation |
Keywords and phrases: sensitivity, tensor equation, Einstein product, Frobenius norm, spectral norm, backward error, perturbation bound.
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