An Algorithm For A Minimum Norm Solution Of A System Of Linear Inequalities

DOI10.1080/0020716021000023079zbMath1033.65020OpenAlexW2043450833MaRDI QIDQ4707313

Said Bahi, V. P. Sreedharan

Publication date: 19 March 2004

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

Full work available at URL: https://doi.org/10.1080/0020716021000023079

zbMATH Keywords

convergencenumerical examplessystem of linear equationssystem of linear inequalitiesleast distance algorithm

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Linear programming (90C05) Linear inequalities of matrices (15A39)

Cites Work

• Least-squares algorithms for finding solutions of overdetermined systems of linear equations which minimize error in a smooth strictly convex norm
• Least squares algorithms for finding solutions of overdetermined linear equations which minimize error in an abstract norm
• An algorithm for non-negative norm minimal solutions
• An algorithm for computing nonnegative minimal norm solutions
• A least distance algorithm for a smooth strictly convex norm
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