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Avoiding breakdown and near-breakdown in Lanczos type algorithms

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-0348-6558-6openalex-snapshot
Padé-Type Approximation and General Orthogonal Polynomials
inferredcites →https://doi.org/10.1007/bf01385846openalex-snapshot
A breakdown-free Lanczos type algorithm for solving linear systems
inferredcites →https://doi.org/10.1007/bf02142321openalex-snapshot
Avoiding breakdown in the CGS algorithm
inferredcites →https://doi.org/10.1007/bf02145581openalex-snapshot
Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights
inferredcites →https://doi.org/10.1007/bfb0066470openalex-snapshot
Polynômes orthogonaux formels : applications
inferredcites →https://doi.org/10.1007/bfb0080116openalex-snapshot
Conjugate gradient methods for indefinite systems
inferredcites →https://doi.org/10.1137/0910004openalex-snapshot
CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
inferredcites →https://doi.org/10.1137/s0895479890188803openalex-snapshot
A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II

What points at this work

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Avoiding breakdown in the CGS algorithm
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A look-ahead strategy for the implementation of some old and new extrapolation methods
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Fast and stable computation of the barycentric representation of rational interpolants
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