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The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations.
- Source :
-
Journal of the Franklin Institute . Nov2020, Vol. 357 Issue 17, p12787-12807. 21p. - Publication Year :
- 2020
-
Abstract
- This paper proposes the Lanczos version of the biconjugate residual algorithm to solve the reflexive or anti-reflexive solutions of a class of generalized coupled Sylvester matrix equations. We give a convergence analysis, and by constructing a special form of the initial matrices, the minimum-norm reflexive solutions can be obtained through finite-step iterations without considering rounding errors. At the end of the paper, we provide numerical examples to illustrate the feasibility and effectiveness of this algorithm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYLVESTER matrix equations
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 00160032
- Volume :
- 357
- Issue :
- 17
- Database :
- Academic Search Index
- Journal :
- Journal of the Franklin Institute
- Publication Type :
- Periodical
- Accession number :
- 146855589
- Full Text :
- https://doi.org/10.1016/j.jfranklin.2020.09.030