A binary powering Schur algorithm for computing primary matrix roots |
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Authors: | Federico Greco Bruno Iannazzo |
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Affiliation: | 1.Dipartimento di Matematica e Informatica,Università di Perugia,Perugia,Italy |
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Abstract: | An algorithm for computing primary roots of a nonsingular matrix A is presented. In particular, it computes the principal root of a real matrix having no nonpositive real eigenvalues, using real arithmetic. The algorithm is based on the Schur decomposition of A and has an order of complexity lower than the customary Schur based algorithm, namely the Smith algorithm. |
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