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- W2036701498 abstract "In this paper, we present the Sherman–Morrison–Woodbury-type formula for the solution of the Sylvester equation of the form as well as for the solution of the T-Sylvester equation of the form where U 1, U 2, V 1, V 2 are low-rank matrices. Although the matrix version of this formula for the Sylvester equation has been used in several different applications (but not for the case of a T-Sylvester equation), we present a novel approach using a proper operator representation. This novel approach allows us to derive a matrix version of the Sherman–Morrison–Woodbury-type formula for the Sylvester equation as well as for the T-Sylvester equation which seems to be new. We also present algorithms for the efficient calculation of the solution of structured Sylvester and T-Sylvester equations by using these formulas and illustrate their application in several examples." @default.
- W2036701498 created "2016-06-24" @default.
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- W2036701498 date "2013-02-01" @default.
- W2036701498 modified "2023-10-18" @default.
- W2036701498 title "Sherman–Morrison–Woodbury formula for Sylvester andT-Sylvester equations with applications" @default.
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- W2036701498 doi "https://doi.org/10.1080/00207160.2012.716154" @default.
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