2007Transactions of the Society of Instrument and Control EngineersOpen access

On the Solution of Generalized Sylvester Matrix Equation

Wataru Kase

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Abstract

Recently, a complete general parametric solution to the generalized second-order Sylvester matrix equation was presented. In this note, it will be shown that the idea is also valid for an arbitrary order. It will be also shown that the calculation of the solution can be easily obtained by using the basis in polynomial vector space.

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Recently, a complete general parametric solution to the generalized second-order Sylvester matrix equation was presented. In this note, it will be shown that the idea is also valid for an arbitrary order. It will be also shown that the calculation of the solution can be easily obtained by using the basis in polynomial vector space.

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Available abstract

Recently, a complete general parametric solution to the generalized second-order Sylvester matrix equation was presented. In this note, it will be shown that the idea is also valid for an arbitrary order. It will be also shown that the calculation of the solution can be easily obtained by using the basis in polynomial vector space.

Key concepts: Sylvester matrix, Sylvester equation, Mathematics, Matrix (chemical analysis), Basis (linear algebra), Parametric equation, Applied mathematics, Parametric statistics

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