Sufficient Conditions for Existence of the LU Factorization of Toeplitz Symmetric Tridiagonal Matrices

DOI10.5540/tcam.2022.024.01.00177zbMath1525.15010MaRDI QIDQ6088974

Unnamed Author, C. G. Almeida

Publication date: 14 December 2023

Published in: Trends in Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

tridiagonal matrixdiagonally dominant matrixToeplitz tridiagonal matrixCrout's method

Mathematics Subject Classification ID

Factorization of matrices (15A23)

Cites Work

• A fast algorithm for solving diagonally dominant symmetric quasi-pentadiagonal Toeplitz linear systems
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• Introduction to databases. From biological to spatio-temporal
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• Notes on linear systems with positive definite tri-diagonal coefficient matrices
• Fast solvers for tridiagonal Toeplitz linear systems
• Properties of a class of perturbed Toeplitz periodic tridiagonal matrices
• Inversion of general tridiagonal matrices
• Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices
• A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
• Marching Algorithms for Elliptic Boundary Value Problems. I: The Constant Coefficient Case
• A split-correct parallel algorithm for solving tridiagonal symmetric toeplitz systems
• An Introduction to Iterative Toeplitz Solvers
• Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems
• Explicit inverses of some tridiagonal matrices

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