The matrix and polynomial approaches to Lanczos-type algorithms

DOI10.1016/S0377-0427(00)00397-6zbMath0964.65030OpenAlexW2072928104MaRDI QIDQ1591184

Hassane Sadok, Michela Redivo-Zaglia, Claude Brezinski

Publication date: 26 June 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00397-6

zbMATH Keywords

orthogonal polynomialsKrylov subspace methodLanczos-type algorithmsLanczos/Orthodir algorithm

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (5)

A unified approach to Krylov subspace methods for solving linear systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A review of formal orthogonality in Lanczos-based methods

Uses Software

• na1

Cites Work

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• Avoiding look-ahead in the Lanczos method and Padé approximation
• A unified approach to some strategies for the treatment of breakdown in Lanczos-type algorithms
• Methods of conjugate gradients for solving linear systems

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