Mathematical programming via the least-squares method

DOI10.2478/s11533-010-0049-9zbMath1203.90111OpenAlexW2002402364MaRDI QIDQ607446

Evald Übi

Publication date: 22 November 2010

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0049-9

zbMATH Keywords

system of linear inequalitiesHouseholder transformationinitial solution for linear programming problemnon-negative least-squares solution

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Linear programming (90C05)

Uses Software

• NETLIB LP Test Set

Cites Work

• A strictly improving linear programming Phase I algorithm
• A least-squares primal-dual algorithm for solving linear programming problems
• A numerically stable least squares solution to the quadratic programming problem
• On stable least squares solution to the system of linear inequalities
• The generalized simplex method for minimizing a linear form under linear inequality restraints
• Implementing the Simplex Method: The Initial Basis
• How to Solve Linear Inequalities
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