Efficient Solution of Parameter Dependent Quasiseparable Systems and Computation of Meromorphic Matrix FunctionsReport as inadecuate




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1 ARIC - Arithmetic and Computing Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l-Informatique du Parallélisme 2 XLIM-MATHIS - Mathématiques & Sécurité de l-information XLIM - XLIM : MATHIS 3 LIP - Laboratoire de l-Informatique du Parallélisme 4 School of Mathematical Sciences Tel Aviv 5 Dipartimento di Informatica Pisa

Abstract : In this paper we focus on the solution of shifted quasiseparable systems and of more general parameter dependent matrix equations with quasiseparable representations. We propose an efficient algorithm exploiting the invariance of the quasiseparable structure under diagonal shifting and inversion. This algorithm is applied to compute various functions of matrices. Numerical experiments show the effectiveness of the approach.

Keywords : Quasiseparable matrices shifted linear system QR factorization matrix function matrix equation





Author: Paola Boito - Yuli Eidelman - Luca Gemignani -

Source: https://hal.archives-ouvertes.fr/



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