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- Title
Accurate computation of eigenvalues of generalized sign regular quasi-Said–Ball–Vandermonde matrices.
- Authors
Xiong, Yebo
- Abstract
In this paper, a class of quasi-Said-Ball-Vandermonde (q-SBV) matrices belonging to generalized sign regular matrices with signature (1 , ⋯ , 1 , - 1) is introduced. We first accurately compute all the parameters of q-SBV matrices from their bidiagonal decompositions. Furthermore, an algorithm is proposed for computing all the eigenvalues of q-SBV matrices to high relative accuracy by using the accurate parameters. At last, some numerical experiments are presented to show the efficiency and accuracy of our algorithms.
- Subjects
MATRICES (Mathematics); EIGENVALUES
- Publication
Calcolo, 2023, Vol 60, Issue 3, p1
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-023-00534-4