Regularizing the Abstract Convex Program

[1]  Stephen M. Robinson,et al.  Strongly Regular Generalized Equations , 1980, Math. Oper. Res..

[2]  Henry Wolkowicz,et al.  Geometry of optimality conditions and constraint qualifications: The convex case , 1980, Math. Program..

[3]  J. Borwein,et al.  Characterizations of optimality without constraint qualification for the abstract convex program , 1982 .

[4]  Jochem Zowe,et al.  Subdifferentiability of Convex Functions with Values in an Ordered Vector Space. , 1974 .

[5]  Henry Wolkowicz.  A strengthened test for optimality , 1981 .

[6]  Adi Ben-Israel,et al.  Generalized inverses: theory and applications , 1974 .

[7]  G. C. Shephard,et al.  Convex Polytopes , 1969, The Mathematical Gazette.

[8]  Aharon Ben-Tal,et al.  Optimality in nonlinear programming: A feasible directions approach , 1981 .

[9]  J. Borwein.  Characterization of optimality for the abstract convex program with finite dimensional range , 1981, Journal of the Australian Mathematical Society.

[10]  G. P. Barker,et al.  Cones of diagonally dominant matrices , 1975 .

[11]  G. P. Barker.  The lattice of faces of a finite dimensional cone , 1973 .

[12]  S. M. Robinson.  Extension of Newton's method to nonlinear functions with values in a cone , 1972 .

[13]  Adi Ben-Israel,et al.  Characterization of optimality in convex programming without a constraint qualification , 1976 .

[14]  Hélène Massam,et al.  Optimality conditions for a cone-convex programming problem , 1979, Journal of the Australian Mathematical Society.

[15]  H. Wolkowicz.  Calculating the cone of directions of constancy , 1978 .

[16]  F. J. Gould,et al.  Geometry of optimality conditions and constraint qualifications , 1972, Math. Program..

[17]  David Q. Mayne,et al.  Combined phase I—phase II methods of feasible directions , 1979, Math. Program..

[18]  丸山 徹.  Convex Analysisの二,三の進展について , 1977 .

[19]  Adi Ben-Israel,et al.  Characterizations of optimality in convex programming: the nondifferentiable case , 1979 .

[20]  On state restrained linear-quadratic control problems☆ , 1979 .

[21]  D. Luenberger.  Optimization by Vector Space Methods , 1968 .

[22]  H. Wolkowicz,et al.  Method of reduction in convex programming , 1983 .

[23]  L. Kerzner,et al.  A simplified test for optimality , 1978 .

[24]  R. Holmes.  Geometric Functional Analysis and Its Applications , 1975 .