Solution of linear least squares via the ABS algorithm

DOI10.1007/BF01581261zbMath0771.65020OpenAlexW2054473470MaRDI QIDQ1803618

Elena Bodon, Emilio Spedicato

Publication date: 29 June 1993

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01581261

zbMATH Keywords

numerical experimentsleast squares problemsABS methodsoverdetermined linear systemsHuang algorithmGram-Schmidt factorizationrank- one updates

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05)

Related Items (4)

ABS methods for continuous and integer linear equations and optimization ⋮ A bibliography of the ABS methods ⋮ Solving linear least squares by orthogonal factorization and pseudoinverse computation via the modified Huang algorithm in the ABS class ⋮ ABS algorithms for linear equations and optimization

Uses Software

• ESSL

Cites Work

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• A class of scaled direct methods for linear systems
• A class of direct methods for linear systems
• On the numerical stability of Huang's update
• The local convergence of ABS methods for nonlinear algebraic equations
• A direct method for the general solution of a system of linear equations
• Solving linear least squares by orthogonal factorization and pseudoinverse computation via the modified Huang algorithm in the ABS class
• Singular value decomposition and least squares solutions
• Conjugate direction methods for solving systems of linear equations
• Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
• Numerical experiments with the symmetric algorithm in the ABS class for linear systems
• Iterative refinement of linear least squares solutions II
• Solving linear least squares problems by Gram-Schmidt orthogonalization

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