Numerical stability of descent methods for solving linear equations

DOI10.1007/BF01390179zbMath0512.65023OpenAlexW1983139696MaRDI QIDQ1050083

J. A. M. Bollen

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/132907

zbMATH Keywords

numerical stabilitygradient methoddescent methodfloating point arithmeticsymmetricpositive definiteGauss-Southwell methodround-off error analysis

Mathematics Subject Classification ID

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

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General solution of full row rank linear systems of equations using a new compression ABS model, Analysis of error propagation in the ABS class for linear systems, Why does information-based complexity use the real number model?, On the real convergence rate of the conjugate gradient method

Cites Work

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• Round-off error analysis of iterations for large linear systems
• Numerical stability of the Chebyshev method for the solution of large linear systems