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On the solution set of convex problems and its numerical application. (English) Zbl 1131.90042
Summary: The solution set of a convex problem is enough interested. In this paper we have a discussion to determine it. The conditions and proofs in this note essentially differs from the previous well-known works. We also have a new result determining the solution of minimum norm for quadratic problems.

MSC:
90C25 Convex programming
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References:
[1] Evtushenko, Yu.G.; Golikov, A.I., New perspective on the theorems of alternative, (), 227-241 · Zbl 1044.90088
[2] Kanzow, C.; Qi, H.; Qi, L., On the minimum norm solution of linear programmes, J. optim. theory appl., 116, 333-345, (2003) · Zbl 1043.90046
[3] Magasarian, O.L., A simple characterization of solution sets of convex programmes, Oper. res. lett., 7, 1, (1988)
[4] O.L. Mangasarian, A Newton method for linear programming, Data Mining Institute, Technical Report 02-02, March 2002.
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