Optimally conditioned scaled ABS algorithms for linear systems

DOI10.1007/BF00939740zbMath0688.65026MaRDI QIDQ1263935

K. Appert

Publication date: 1990

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

condition numberscaling parameterABS algorithmsoptimal conditioningoptimal stabilityAbaffy-Broyden-Spedicato algorithmbordered positive-definite matrices

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (1)

A bibliography of the ABS methods

Cites Work

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• On the numerical stability of Huang's and related methods
• A class of direct methods for linear systems
• On the numerical stability of Huang's update
• A strict bound to the condition number of bordered positive definite matrices
• Variationally derived algorithms in the ABS class for linear systems
• A direct method for the general solution of a system of linear equations
• Numerical experiments with the symmetric algorithm in the ABS class for linear systems

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