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A note on spectra of optimal and superoptimal preconditioned matrices
- Source :
-
Linear Algebra & its Applications . Apr2007, Vol. 422 Issue 2/3, p482-485. 4p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this short note, it is proved that given any positive definite Hermitian matrix, the eigenvalues of the superoptimal preconditioned matrix do not exceed the corresponding eigenvalues of the optimal preconditioned matrix. [Copyright &y& Elsevier]
- Subjects :
- *MATRICES (Mathematics)
*SPECTRUM analysis
*EIGENVALUES
*UNIVERSAL algebra
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 422
- Issue :
- 2/3
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 24220412
- Full Text :
- https://doi.org/10.1016/j.laa.2006.11.006