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Stability of the solution of definite quadratic programs. (English) Zbl 0269.90037


MSC:

90C20 Quadratic programming
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[1] J.W. Daniel, ”On perturbations in systems of linear inequalities”, CNA-50, Center for Numerical Analysis, University of Texas at Austin (1972),SIAM Journal on Numerical Analysis 10 (1973) 299–307. · Zbl 0268.90039 · doi:10.1137/0710029
[2] G.B. Dantzig, J. Folkman and N. Shapiro, ”On the continuity of the minimum set of continuous functions”,Journal of Mathematical Analysis and Applications 17 (1967) 519–548. · Zbl 0153.49201 · doi:10.1016/0022-247X(67)90139-4
[3] J.P. Evans and F.J. Gould, ”Stability in nonlinear programming”,Operations Research 18 (1970) 107–118. · Zbl 0232.90057 · doi:10.1287/opre.18.1.107
[4] A.V. Fiacco and G.P. McCormick,Nonlinear programming: Sequential unconstrained minimization techniques (Wiley, New York, 1968). · Zbl 0193.18805
[5] A.M. Geoffrion, ”Duality in nonlinear programming: a simplified applications-oriented approach”,SIAM Review 13 (1971) 1–37. · Zbl 0232.90049 · doi:10.1137/1013001
[6] A.J. Hoffman, ”On approximate solutions of systems of linear inequalities”,Journal of Research of the National Bureau of Standards 19 (1952) 263–265.
[7] J.L. Joly, ”Une famille de topologies et de convergence sur l’ensemble des functionelles convexes”, Thesis, Faculté des Sciences de Grenoble (1970).
[8] P.J. Laurent,Approximation et optimisation (Hermann, Paris, 1972). · Zbl 0238.90058
[9] O.L. Mangasarian,Nonlinear programming (McGraw-Hill, New York, 1969). · Zbl 0194.20201
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