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.
On the Solution of Skew-Symmetric Shifted Linear Systems / Politi, T.; Pugliese, A.. - STAMPA. - 3994:(2006), pp. 732-739. ( ICCS 2006 6th International Conference Reading, UK May 28-31, 2006) [10.1007/11758549_99].
On the Solution of Skew-Symmetric Shifted Linear Systems
Politi, T.;
2006
Abstract
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.File in questo prodotto:
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