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• W2113018813 abstract "The purpose of this work has been the development of new set of rational iterations for computing square roots and the matrix sign function of complex matrices. Given any positive integer r/spl ges/2, we presented a systematic way of deriving rth order convergent algorithms for matrix square roots, the matrix sign function, invariant subspaces in different half-planes, and the polar decomposition. We have shown, that these iterations are applicable for computing square roots of more general type of matrices than previously reported, such as matrices in which some of its eigenvalues are negative. Also, algorithms for computing square roots and the invariant subspace of a given matrix in any given half-plane are derived." @default.
• W2113018813 created "2016-06-24" @default.
• W2113018813 creator A5024426963 @default.
• W2113018813 creator A5061290116 @default.
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• W2113018813 date "2002-11-13" @default.
• W2113018813 modified "2023-09-27" @default.
• W2113018813 title "Fixed point iterations for computing square roots and the matrix sign function of complex matrices" @default.
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• W2113018813 doi "https://doi.org/10.1109/cdc.2001.914567" @default.
• W2113018813 hasPublicationYear "2002" @default.
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