Stability of Gaussian elimination without pivoting on tridiagonal Toeplitz matrices

DOI10.1016/0024-3795(82)90207-5zbMath0486.65019OpenAlexW2010066724MaRDI QIDQ1164957

Max D. Gunzburger, R. A. Nicolaides

Publication date: 1982

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90207-5

zbMATH Keywords

stabilityGauss eliminationHelmholtztridiagonal Toeplitz matrices

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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$LU$-Decompositions of Tridiagonal Irreducible H-Matrices

Cites Work

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