A note on spectra of optimal and superoptimal preconditioned matrices
โ Scribed by Che-Man Cheng; Xiao-Qing Jin; Seak-Weng Vong; Wei Wang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 99 KB
- Volume
- 422
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract In this note, results concerning the eigenvalue distribution and form of the eigenvectors of the constraint preconditioned generalized saddle point matrix and its minimal polynomial are given. These results extend previous ones that appeared in the literature. Copyright ยฉ 2009 John Wile
For a simple graph G on n vertices, the minimum rank of G over a field F, written as mr F (G), is defined to be the smallest possible rank among all n ร n symmetric matrices over F whose (i, j)th entry (for i / = j) is nonzero whenever {i, j} is an edge in G and is zero otherwise. A symmetric integ