$LU$-Decompositions of Tridiagonal Irreducible H-Matrices

DOI10.1137/0607021zbMath0595.65028OpenAlexW2057923237MaRDI QIDQ3727244

William J. Harrod

Publication date: 1986

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0607021

zbMATH Keywords

Toeplitz matricesLU-decompositionM-matricesbounds for the growth factortridiagonal irreducible H-matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48) Direct numerical methods for linear systems and matrix inversion (65F05)

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Cites Work

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• Controllability, inertia, and stability for tridiagonal matrices
• Tridiagonal and upper triangular inverse M-matrices
• LU decomposition of M-matrices by elimination without pivoting
• LU decompositions of generalized diagonally dominant matrices
• Stability of Gaussian elimination without pivoting on tridiagonal Toeplitz matrices
• A Semi-Definite Lyapunov Theorem and the Characterization of Tridiagonal D-Stable Matrices
• Error Analysis of Direct Methods of Matrix Inversion
• Solution of Homogeneous Systems of Linear Equations Arising from Compartmental Models

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