In this paper we consider the problem of solving a sequence of linear systems with coefficient matrix A α = I + αA (or A α = αI + A), where α is a real paramater and A is skew-symmetric matrix. We propose to solve this problem exploiting the structure of the Schur decomposition of the skew-symmetric matrix and computing the Singular Value Decomposition of a bidiagonal matrix of halved size. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Politi, T., & Pugliese, A. (2006). On the solution of skew-symmetric shifted linear systems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3994 LNCS-IV, pp. 732–739). Springer Verlag. https://doi.org/10.1007/11758549_99
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