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Start Over Descriptor "Sylvester equation" Topic absolute value Journal applied mathematics letters
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1. Sufficient conditions for the solvability of a Sylvester-like absolute value matrix equation.

Author

Hashemi, Behnam

Subjects
*EQUATIONS, *KRONECKER products, *ABSOLUTE value, *MATRICES (Mathematics), *SYLVESTER matrix equations
Abstract

We present sufficient conditions for the unique solvability of the matrix equation A X B + C | X | D = E where A , B , C , D and E are given square or rectangular real matrices of appropriate size and X is unknown. We also give sufficient conditions for the non-solvability of the equation in special cases. Our sufficient conditions can be checked with a cubic complexity in terms of the size of the input matrices. [ABSTRACT FROM AUTHOR]

Published
2021
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