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2 results on '"Sylvester equation"'

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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2. The polynomial solution to the Sylvester matrix equation

Author

Daizhan Cheng and Qingxi Hu

Subjects
Sylvester matrix, Applied Mathematics, Mathematical analysis, MathematicsofComputing_NUMERICALANALYSIS, Polynomial matrix, Matrix polynomial, Characteristic polynomial, Sylvester's law of inertia, Determinant, Sylvester equation, Spectrum, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Applied mathematics, Computer Science::Symbolic Computation, Sylvester's formula, Matrix exponential, Mathematics
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.

Published
2006

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