A class of scaled direct methods for linear systems

DOI10.1007/BF00050789zbMath0714.65026OpenAlexW2061686990MaRDI QIDQ751174

Jozsef Abaffy, Emilio Spedicato

Publication date: 1990

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00050789

zbMATH Keywords

conjugate gradient methodscalingGauss-Cholesky factorizationiterative direct method

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05) Conditioning of matrices (15A12)

Related Items (5)

The local convergence of ABS methods for nonlinear algebraic equations ⋮ ABS methods for continuous and integer linear equations and optimization ⋮ A bibliography of the ABS methods ⋮ Solution of linear least squares via the ABS algorithm ⋮ A class of direct methods for linear systems

Cites Work

• On the numerical stability of Huang's and related methods
• A class of direct methods for linear systems
• The local convergence of ABS methods for nonlinear algebraic equations
• A direct method for the general solution of a system of linear equations
• Conjugate direction methods for solving systems of linear equations
• Numerical experiments with the symmetric algorithm in the ABS class for linear systems
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