In this paper, an iterative algorithm is presented to solve the Sylvester and Lyapunov matrix equations. By this iterative algorithm, for any initial matrix X1, a solution X* can be obtained within finite iteration steps in the absence of roundoff errors. Some examples illustrate that this algorithm is very efficient and better than that of [1] and [2].
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机译:In this paper,an iterative algorithm is presented to solve the Sylvester and Lyapunov matrix equations.By this iterative algorithm,for any initial matrix X1,a solution X* can be obtained within finite iteration steps in the absence of roundoff errors.Some examples illustrate that this algorithm is very efficient and better than that of [1] and [2].
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