The dominant degree and disc theorem for the Schur complement of matrix
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Publication:961597
DOI10.1016/j.amc.2009.12.063zbMath1189.15023OpenAlexW1972018154MaRDI QIDQ961597
Jianzhou Liu, Juan Zhang, Ze-Jun Huang
Publication date: 31 March 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.12.063
Schur complementeigenvalue boundsH-matrixGerschgorin theoremdiagonally dominant matrixdominant degreeBrauer theoremGerschgorin circles
Related Items (21)
Eigenvalue localization and neville elimination ⋮ On Schur complements of Dashnic–Zusmanovich type matrices ⋮ The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices ⋮ Linear matrix inequality based fuzzy synchronization for fractional order chaos ⋮ The improved disc theorems for the Schur complements of diagonally dominant matrices ⋮ The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications ⋮ On Cvetković-Kostić-Varga type matrices ⋮ The Schur complement of \(\gamma\)-dominant matrices ⋮ The Schur complement of strictly doubly diagonally dominant matrices and its application ⋮ Diagonal-Schur complements of Nekrasov matrices ⋮ Eigenvalue localization refinements for the Schur complement ⋮ Eigenvalue localization and pivoting strategies for Gaussian elimination ⋮ Scaling technique for partition-Nekrasov matrices ⋮ The estimates of diagonally dominant degree and eigenvalues distributions for the Schur complements of matrices ⋮ Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems ⋮ Robust fuzzy control for fractional-order uncertain hydroturbine regulating system with random disturbances ⋮ The Schur complement of \(P H\)-matrices ⋮ Several criteria for judgingH- and non-H-matrices ⋮ The new improved estimates of the dominant degree and disc theorem for the Schur complement of matrices ⋮ Stability in a general oligopoly model ⋮ Takagi-Sugeno fuzzy control for a wide class of fractional-order chaotic systems with uncertain parameters via linear matrix inequality
Cites Work
- Invariance of the Brauer diagonal dominance in Gaussian elimination
- Inverse M-matrices
- Some interlacing properties of the Schur complement of a Hermitian matrix
- Some inequalities for singular values and eigenvalues of generalized Schur complements of products of matrices
- Doubly diagonally dominant matrices
- A minimum principle and estimates of the eigenvalues for Schur complements of positive semidefinite Hermitian matrices
- The Schur complements of generalized doubly diagonally dominant matrices
- Some properties on Schur complements of H-matrices and diagonally dominant matrices
- Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices
- Schur complements of diagonally dominant matrices
- Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds
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