The Schur complements of generalized doubly diagonally dominant matrices
Copyright policy )The Schur complements of generalized doubly diagonally dominant matrices
It is known that the Schur complements of diagonally dominant matrices are diagonally dominant, and that the same is true for doubly diagonally dominant matrices. In this paper, the authors extend these results to the generalized doubly diagonally dominant matrices (a proper subset of H-matrices); that is, they show that the Schur complement of a generalized doubly diagonally dominant matrix is a generalized doubly diagonally dominant matrix.
- Nova Southeastern University United States
- Xiangnan University China (People's Republic of)
- Shenyang Normal University China (People's Republic of)
- Southwestern Christian University United States
- Hengyang Normal University China (People's Republic of)
Iterative numerical methods for linear systems, Numerical Analysis, Algebra and Number Theory, Comparison matrix, Generalized doubly diagonally dominant matrix, comparison matrix, diagonally dominant matrix, doubly diagonally dominant matrix, Positive matrices and their generalizations; cones of matrices, Doubly diagonally dominant matrix, generalized doubly diagonally dominant matrix, Discrete Mathematics and Combinatorics, Schur complement, H-matrices, Diagonally dominant matrix, Geometry and Topology, M-matrix, Mathematics
Iterative numerical methods for linear systems, Numerical Analysis, Algebra and Number Theory, Comparison matrix, Generalized doubly diagonally dominant matrix, comparison matrix, diagonally dominant matrix, doubly diagonally dominant matrix, Positive matrices and their generalizations; cones of matrices, Doubly diagonally dominant matrix, generalized doubly diagonally dominant matrix, Discrete Mathematics and Combinatorics, Schur complement, H-matrices, Diagonally dominant matrix, Geometry and Topology, M-matrix, Mathematics
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