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Square Roots of Hermitian Matrices and a Rational Algorithm for Checking Their Congruence.
- Source :
- Moscow University Computational Mathematics & Cybernetics; Jul2019, Vol. 43 Issue 3, p95-100, 6p
- Publication Year :
- 2019
-
Abstract
- A finite computational process using only arithmetical operations is called a rational algorithm. Presently, there is no known rational algorithm for checking congruence between arbitrary complex matrices A and B. The situation may be different if A and B belong to a special matrix class. For instance, there exist rational algorithms for the cases where both matrices are Hermitian, unitary, or accretive. In this publication, we propose a rational algorithm for checking congruence between matrices A and B that are square roots of Hermitian matrices. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02786419
- Volume :
- 43
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Moscow University Computational Mathematics & Cybernetics
- Publication Type :
- Academic Journal
- Accession number :
- 138397064
- Full Text :
- https://doi.org/10.3103/S0278641919030026