High-relative-accuracy computations with Kac-Murdock-Szegö matrices and their generalizations
Abstract A linear-time-complexity method to obtain the bidiagonal decomposition of a generalized Kac-Murdock-Szegö matrix is presented. For convenient values of the parameters, it can be obtained with high relative accuracy and it can be also used to compute all eigenvalues, all singular values, the inverse and the solution of some linear systems of equations with high relative accuracy.
Authors
- Jorge Delgado (ORCID: https://orcid.org/0000-0003-2156-9856)
- J.M. Peña (ORCID: https://orcid.org/0000-0002-1340-0666)
Institutions
- Universidad de Zaragoza (ES)
Publication Details
- Journal
- Computational and Applied Mathematics
- Published
- 2025-03-15
- DOI
- https://doi.org/10.1007/s40314-025-03137-7
- Citations
- 1
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 1.50
Funders
- Ministerio de Ciencia, Innovación y Universidades
- Ministerio de Ciencia e Innovación
- Gobierno de Aragón
- Agencia Estatal de Investigación
- Departamento de Educación, Cultura y Deporte, Gobierno de Aragón