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Robust algorithm to a class of perturbed second-order Sylvester matrix equations and its simulation

Hongmei Duan

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Abstract

The problem of solving a class of perturbed second-order Sylvester matrix equations is investigated. Based on the parametric solutions to the second-order Sylvester matrix equation, the problem of solving the perturbed second-order Sylvester matrix equation is changed into a problem of minimizing the error performance. Thus a robust algorithm to solve the perturbed second-order Sylvester matrix equation is presented. A numerical example shows the effectiveness and robustness of the proposed algorithm.

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What this paper is about

The problem of solving a class of perturbed second-order Sylvester matrix equations is investigated. Based on the parametric solutions to the second-order Sylvester matrix equation, the problem of solving the perturbed second-order Sylvester matrix equation is changed into a problem of minimizing the error performance. Thus a robust algorithm to solve the perturbed second-order Sylvester matrix equation is presented. A numerical example shows the effectiveness and robustness of the proposed algorithm.

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Available abstract

The problem of solving a class of perturbed second-order Sylvester matrix equations is investigated. Based on the parametric solutions to the second-order Sylvester matrix equation, the problem of solving the perturbed second-order Sylvester matrix equation is changed into a problem of minimizing the error performance. Thus a robust algorithm to solve the perturbed second-order Sylvester matrix equation is presented. A numerical example shows the effectiveness and robustness of the proposed algorithm.

Key concepts: Sylvester equation, Sylvester matrix, Sylvester's law of inertia, Matrix (chemical analysis), Eight-point algorithm, Robustness (evolution), Mathematics, Applied mathematics

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