An improved Lanczos algorithm for solving ill-conditioned linear equations

DOI10.1016/0898-1221(90)90161-CzbMath0728.65023MaRDI QIDQ805137

N. E. Zubov

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergenceiterationnumerical examplesconjugate gradient methodLanczos algorithmround-off errorsill-conditioned linear equationsLanczos vectorspartial reorthogonalization

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)

Cites Work

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• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• On the application of an element-by-element lanczos solver to large offshore structural engineering problems
• The Lanczos Algorithm With Partial Reorthogonalization
• Lanczos versus subspace iteration for solution of eigenvalue problems
• A Newton-Lanczos method for solution of non-linear finite element equations
• Solution of Sparse Indefinite Systems of Linear Equations
• The Lanczos Algorithm with Selective Orthogonalization
• Computational Variants of the Lanczos Method for the Eigenproblem

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