Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices
β Scribed by Jianzhou Liu; Jicheng Li; Zhuohong Huang; Xu Kong
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 245 KB
- Volume
- 428
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
In this paper, we obtain some estimates for the Ξ³ -diagonally and product Ξ³ -diagonally dominant degree of the Schur complement of matrices. As application we present some bounds for the eigenvalues of Schur complement by the entries of the original matrix. Based on these results, we give a kind of
Related to a complex partitioned matrix P, having A, B, C, and D as its consecutive m Γ m, m Γ n, n Γ m, and n Γ n submatrices, are generalized Schur complements S = A -BD -C and T = D -CA -B, where the minus superscript denotes a generalized inverse of a given matrix. In the first part of the prese