Variations on the Gram--Schmidt and the Huang algorithms for linear systems: A numerical study

DOI10.21136/am.1993.104537zbMath0783.65029OpenAlexW2597200831MaRDI QIDQ686341

Maria Teresa Vespucci, Emilio Spedicato

Publication date: 13 October 1993

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/15738

zbMATH Keywords

algorithmsnumerical experiments\(ABS\) update formula\(LQ\) method\(QR\) methodGram-Schmidt algorithmHuang algorithmsHuang methodsill-conditioned equations

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (2)

Variations on the Gram--Schmidt and the Huang algorithms for linear systems: A numerical study ⋮ ABS algorithms for linear equations and optimization

Cites Work

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• Variations on the Gram--Schmidt and the Huang algorithms for linear systems: A numerical study
• A class of direct methods for linear systems
• On the numerical stability of Huang's update
• Report on test matrices for generalized inverses
• The local convergence of ABS methods for nonlinear algebraic equations
• Iterative algorithms for Gram-Schmidt orthogonalization
• A direct method for the general solution of a system of linear equations
• Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
• Numerical Solution of Nonlinear Equations
• Numerical experiments with the symmetric algorithm in the ABS class for linear systems

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