On stable least squares solution to the system of linear inequalities

Central European Journal of Mathematics - Tập 5 - Trang 373-385 - 2007
Evald Übi1
1Department of Economics, Tallinn University of Technology, Tallinn, Estonia

Tóm tắt

The system of inequalities is transformed to the least squares problem on the positive ortant. This problem is solved using orthogonal transformations which are memorized as products. Author’s previous paper presented a method where at each step all the coefficients of the system were transformed. This paper describes a method applicable also to large matrices. Like in revised simplex method, in this method an auxiliary matrix is used for the computations. The algorithm is suitable for unstable and degenerate problems primarily.

Tài liệu tham khảo

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