On application of the Lanczos method to solution of some partial differential equations

DOI10.1016/0377-0427(94)90305-0zbMath0807.65041OpenAlexW2075900061MaRDI QIDQ1334769

Leonid Knizhnerman, Vladimir Druskin

Publication date: 22 September 1994

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90305-0

zbMATH Keywords

error estimateslinear algebraic equationssemidiscrete approximationspectral Lanczos decomposition method

Mathematics Subject Classification ID

Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• An iterative solution method for solving \(f(A)x=b\), using Krylov subspace information obtained for the symmetric positive definite matrix A
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem
• The Lanczos optimization of a splitting-up method to solve homogeneous evolutionary equations
• Error bounds in the simple Lanczos procedure for computing functions of symmetric matrices and eigenvalues
• Eigenvalues of perturbed Hermitian matrices
• Lanczos method for heat conduction analysis
• Solution of Sparse Indefinite Systems of Linear Equations
• Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix
• Two polynomial methods of calculating functions of symmetric matrices

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