Equivalence in nonlinear programming
- 1 March 1963
- journal article
- other
- Published by Wiley in Naval Research Logistics Quarterly
- Vol. 10 (1) , 299-306
- https://doi.org/10.1002/nav.3800100127
Abstract
The purpose of this work is to show the relation between the Kuhn‐Tucker and the gradient‐projection conditions for constrained maximization (minimization) problems. A similar relationship exists between Kuhn‐Tucker‐type conditions and gradient‐projection‐type conditions for certain constrained saddle‐point problems. This latter relationship may lead to a computational algorithm for these constrained saddle‐point problems.Keywords
This publication has 4 references indexed in Scilit:
- The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear ConstraintsJournal of the Society for Industrial and Applied Mathematics, 1961
- The Gradient Projection Method for Nonlinear Programming. Part I. Linear ConstraintsJournal of the Society for Industrial and Applied Mathematics, 1960
- A generalized inverse for matricesMathematical Proceedings of the Cambridge Philosophical Society, 1955
- Nonlinear ProgrammingPublished by University of California Press ,1951