Some improvements for two-sided bounds on the inverse of diagonally dominant tridiagonal matrices
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Publication:5940021
DOI10.1016/S0024-3795(01)00254-3zbMath0978.15018MaRDI QIDQ5940021
Roberto I. Peluso, Tiziano Politi
Publication date: 18 January 2002
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Theory of matrix inversion and generalized inverses (15A09) Miscellaneous inequalities involving matrices (15A45) Iterative numerical methods for linear systems (65F10)
Related Items (11)
Block diagonal dominance of matrices revisited: bounds for the norms of inverses and eigenvalue inclusion sets ⋮ Persistently positive inverses of perturbed \(M\)-matrices ⋮ The inverse positivity of perturbed tridiagonal \(M\)-matrices ⋮ Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices ⋮ Estimates for the inverse elements of tridiagonal matrices ⋮ Improved bounds for the inverses of diagonally dominant tridiagonal matrices ⋮ Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices ⋮ On the inverses of general tridiagonal matrices ⋮ Inverse positivity of perturbed tridiagonal \(M\)-matrices ⋮ Inverse properties of a class of seven-diagonal (near) Toeplitz matrices ⋮ Discrete analysis of domain decomposition approaches for mesh generation via the equidistribution principle
Cites Work
- Estimates for the inverse of tridiagonal matrices arising in boundary- value problems
- Two-sided bounds on the inverses of diagonally dominant tridiagonal matrices
- Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices
- Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices
- Inequalities on the Elements of the Inverse of a Certain Tridiagonal Matrix
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