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Numerical stability of the Chebyshev method for the solution of large linear systems

https://doi.org/10.1007/bf01394452
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/zamm.19600401041openalex-snapshot
M. Engeli — Th. Ginsburg — H. Rutishauser — E. Stiefel, Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self‐Adjoint Bondary Value Problems. (Mitteilungen aus dem Institut für angewandte Mathematik der ETH Zürich, Nr. 8.) 107 S. Basel/Stuttgart 1959. Birkhäuser…
inferredcites →https://doi.org/10.1002/zamm.197405412129openalex-snapshot
Fehleranalyse der Schmidtschen und Powellschen Orthonormalisierungsverfahren
inferredcites →https://doi.org/10.1007/bf01399601openalex-snapshot
Numerical stability for solving nonlinear equations
inferredcites →https://doi.org/10.1016/0016-0032(64)90390-4openalex-snapshot
Rounding errors in algebraic processes
inferredcites →https://doi.org/10.1016/c2013-0-11733-3openalex-snapshot
Iterative Solution of Large Linear Systems
inferredcites →https://doi.org/10.1137/0711064openalex-snapshot
Rounding Error Analysis for the Evaluation of a Polynomial and Some of Its Derivatives
inferredcites →https://doi.org/10.2307/2002959openalex-snapshot
Rounding Errors in Algebraic Processes
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The Algebraic Eigenvalue Problem
inferredcites →https://doi.org/10.2307/2005542openalex-snapshot
Iterative Solution of Large Linear Systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A family of methods with three‐term recursion formulae
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Numerical stability of the cyclic Richardson iteration
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Numerical stability of descent methods for solving linear equations
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The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems
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Numerical stability for solving nonlinear equations
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Round-off error analysis of iterations for large linear systems
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Quadratic optimization for image reconstruction, II
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NUMERICAL STABILITY OF ITERATIONS FOR SOLUTION OF NONLINEAR EQUATIONS AND LARGE LINEAR SYSTEMS
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Normalized explicit finite element approximate inverse preconditioning
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Inexact Krylov Subspace Methods for Linear Systems
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Accuracy of Two Three-term and Three Two-term Recurrences for Krylov Space Solvers
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Henryk Woźniakowski and the complexity of continuous problems
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Improved the Convergence of Iterative Methods for Solving Systems of Equations by Memetics Techniques
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The Accurate Solution of Certain Continuous Problems Using Only Single Precision
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