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.

A binary powering Schur algorithm for computing primary matrix roots

GRECO, FEDERICO;IANNAZZO, Bruno
2010

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.
2010
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/128291
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