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1. The polynomial solution to the Sylvester matrix equation

Author

Hu, Qingxi and Cheng, Daizhan

Subjects
*EQUATIONS, *MATRICES (Mathematics), *UNIVERSAL algebra, *ALGEBRA
Abstract

Abstract: For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as a polynomial of known matrices. In the case of non-uniqueness, the solution set of the Sylvester matrix equation is a subset of that of a deduced equation, which is a system of linear algebraic equations. [Copyright &y& Elsevier]

Published
2006
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