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

DOI10.1007/BF01394452zbMath0341.65024OpenAlexW2150997465MaRDI QIDQ1231755

Henryk Woźniakowski

Publication date: 1977

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132482

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Roundoff error (65G50)

Related Items (15)

The accurate solution of certain continuous problems using only single precision arithmetic ⋮ The simplex method is not always well behaved ⋮ The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems ⋮ Round-off error analysis of iterations for large linear systems ⋮ Roundoff-error analysis of a new class of conjugate-gradient algorithms ⋮ An approach to backward analysis for linear and nonlinear iterative methods ⋮ Explicit approximate inverse preconditioning techniques ⋮ A method for the automatic evaluation of the dynamic relaxation parameters ⋮ Numerical stability of the cyclic Richardson iteration ⋮ Explicit Runge-Kutta methods for parabolic partial differential equations ⋮ Analysis of loop methods for simulating gas networks ⋮ Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations ⋮ Why does information-based complexity use the real number model? ⋮ Numerical stability of descent methods for solving linear equations ⋮ Perturbation analysis of singular linear systems with index one^∗

Cites Work

• Numerical stability for solving nonlinear equations
• Fehleranalyse der Schmidtschen und Powellschen Orthonormalisierungsverfahren
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