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On diagonal-Schur complements of block diagonally dominant matrices. (English) Zbl 1193.15036

The authors discuss some properties of diagonal-Schur complements of block diagonally dominant matrices and prove that the diagonal-Schur complements of block strictly diagonally dominant matrices are block strictly diagonally dominant matrices, and the same holds for generalized block strictly diagonally dominant matrices. Several numerical examples are provided.

MSC:

15B57 Hermitian, skew-Hermitian, and related matrices
65F10 Iterative numerical methods for linear systems
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