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Perturbation analysis for the QX factorization for centrosymmetric matrices.
- Source :
-
Linear & Multilinear Algebra . Feb2022, Vol. 70 Issue 3, p557-580. 24p. - Publication Year :
- 2022
-
Abstract
- The QX factorization of the centrosymmetric matrix is a structure-preserving QR factorization proposed by Konrad Burnik. In this paper, we first propose a sufficient condition for the uniqueness of this decomposition. Then, using the refined matrix equation approach, we derive the first-order normwise perturbation bounds convenient for computation for the QX factorization. Using the matrix-vector equation approach and the modified matrix-vector equation approach, we obtain the optimal first-order normwise perturbation bounds. Moreover, the normwise condition numbers for the QX factorization are also presented. Some numerical examples are given to illustrate our theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATRIX decomposition
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 70
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 155633869
- Full Text :
- https://doi.org/10.1080/03081087.2020.1737631