The hyperbolic elimination method for solving the equality constrained indefinite least squares problem

DOI10.1080/00207160902871253zbMath1215.65073OpenAlexW2078478728MaRDI QIDQ3066947

Qiaohua Liu, Baozhen Pan, Qian Wang

Publication date: 20 January 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160902871253

zbMATH Keywords

forward stableequality constrained indefinite least squares problemhyperbolic elimination methodhyperbolic QR factorization methodoverdetermined systems, pseudoinverses

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (4)

On mixed and componentwise condition numbers for indefinite least squares problem ⋮ An algorithm for solving the indefinite least squares problem with equality constraints ⋮ An algorithm based on QSVD for the quaternion equality constrained least squares problem ⋮ A real structure-preserving algorithm based on the quaternion QR decomposition for the quaternion equality constrained least squares problem

Uses Software

• mctoolbox

Cites Work

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• The equality constrained indefinite least squares problem: Theory and algorithms
• On the stability of the direct elimination method for equality constrained least squares problems
• The Direct Solution of Weighted and Equality Constrained Least-Squares Problems
• A Stable and Efficient Algorithm for the Indefinite Linear Least-Squares Problem
• J-Orthogonal Matrices: Properties and Generation
• Row-Wise Backward Stable Elimination Methods for the Equality Constrained Least Squares Problem
• Algebraic properties and perturbation results for the indefinite least squares problem with equality constraints

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