[1] |
Duffin, R. J., Peterson, E. L., andZener, C.,Geometric Programming?Theory and Applications, John Wiley and Sons, New York, New York, 1967. · Zbl 0171.17601 |
[2] |
Abrams, R.,Consistency, Superconsistency and Dual Degeneracy in Geometric Programming, Operations Research, Vol. 24, pp. 325-335, 1976. · Zbl 0348.90119 · doi:10.1287/opre.24.2.325 |
[3] |
Williams, A. C.,Complementary Theorems for Linear Programming, SIAM Review, Vol. 12, pp. 135-137, 1970. · Zbl 0193.18606 · doi:10.1137/1012015 |
[4] |
Shefi, A.,Reduction of Linear Inequality Constraints and Determination of All Feasible Extreme Points, Stanford University, PhD Dissertation, 1969. |
[5] |
Luenberger, D. G.,Introduction to Linear and Nonlinear Programming, Addison-Wesley Publishing Company, Reading, Massachusetts, 1973. · Zbl 0297.90044 |
[6] |
Rockafellar, R. T.,Convex Functions and Dual Extremum Problems, Harvard University, PhD Dissertation, 1963. |
[7] |
Peterson, E. L.,Fenchel’s Hypothesis and the Existence of Recession Directions in Convex Programming, Northwestern University, Center for Mathematical Studies in Economics and Management Science, Discussion Paper No. 152, 1976. |
[8] |
Wu, C. T.,Reduction and Restriction Methods for Simplifying and Solving Nonlinear Programming Problems, Northwestern University, PhD Dissertation, 1975. |
[9] |
Abrams, R.,Projections of Convex Programs with Unattained Infima, SIAM Journal on Control, Vol. 13, pp. 706-718, 1975. · doi:10.1137/0313040 |
[10] |
Peterson, E. L., andEcker, J. G.,Geometric Programming: Duality in Quadratic Programming and Lp-Approximation, III, Degenerate Programs, Journal of Mathematical Analysis and Applications, Vol. 24, pp. 365-383, 1970. · doi:10.1016/0022-247X(70)90085-5 |
[11] |
Abrams, R.,Degenerate Quadratic Programming and Lp-Approximation Problems, Journal of Mathematical Analysis and Applications, Vol. 55, No. 2, 1976. · Zbl 0372.90105 |
[12] |
Rockafellar, R. T.,Convex Analysis, Princeton University Press, Princeton, New Jersey, 1969. · Zbl 0186.23901 |
[13] |
Stoer, J., andWitzgall, C.,Convexity and Optimization in Finite Dimensions, I, Springer-Verlag, New York, New York, 1970. · Zbl 0203.52203 |
[14] |
Peterson, E. L.,Symmetric Duality for Generalized Unconstrained Geometric Programming, SIAM Journal of Applied Mathematics, Vol. 19, pp. 487-526, 1970. · Zbl 0205.48001 · doi:10.1137/0119049 |
[15] |
Abrams, R. A., andKerzner, L.,A Simplified Test for Optimality, Journal of Optimization Theory and Applications (to appear). |
[16] |
Magnanti, T. L.,Fenchel and Lagrange Duality Are Equivalent, Mathematical Programming, Vol. 7, pp. 253-258, 1974. · Zbl 0296.90037 · doi:10.1007/BF01585523 |
[17] |
Ben-Tal, A., Ben-Israel, A., andZlobec, S.,Characterization of Optimality in Convex Programming Without a Constraint Qualification, Journal of Optimization Theory and Applications, Vol. 20, pp. 417-437, 1976. · Zbl 0327.90025 · doi:10.1007/BF00933129 |