Title Nonlinear programming 4 : proceedings of the Nonlinear Programming Symposium 4 / conducted by the Computer Sciences Department at the University of Wisconsin--Madison, July 14-16, 1980 ; edited by Olvi L. Mangasarian, Robert R. Meyer, Stephen M. Robinson

Published Burlington : Academic Press/Elsevier Science, [2014], ©1981

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Description 1 online resource (560 pages) Contents 880-01 Chapter 3. qp-basedmethods for large-scale nonlinearly constrained optimizationabstract; 1. introduction; 2. large-scale linearly constrained optimization; 3. qp-based methods for dense problems; 4. the use of a linearly constrained subproblem; 5. extension of qp-based methods to the large-scale case; 6. representing the basis inverse; 7. the search direction for the superbasic variables; 8. an inequality qpapproach; 9. conclusions; references; chapter 4. numerical experiments with an exact l1penalty function method; abstract; 1. introduction; 2. a globally convergent algorithm 880-01/(S Front Cover; Nonlinear Programming 4; Copyright Page; Table of Contents; CONTRIBUTORS; PREFACE; CHAPTER 1. AN UPPER TRIANGULAR MATRIX METHOD FORQUADRATIC PROGRAMMING; ABSTRACT; 1. INTRODUCTION; 2. A COMPARISON OF THREE ACTIVE SET METHODS; 3. THE CALCULATION OF d ANDλ; 4. THE REVISION OF U AND L; 5. DISCUSSION; ACKNOWLEDGMENTS; REFERENCES; CHAPTER 2. SOLVING QUADRATIC PROGRAMSBY AN EXACT PENALTY FUNCTION; ABSTRACT; 1. INTRODUCTION; 2. THE METHOD; 3. BASIC PROPERTIES; 4. FINITE CONVERGENCE; 5. COMPUTATIONAL RESULTS; ACKNOWLEDGMENT; REFERENCES 3. an active set method4. numerical experiments and discussion; acknowledgments; references; chapter 5. an iterative linear programming algorithmbased on an augmented lagrangian; abstract; references; chapter 6. iterative algorithmsfor singular minimization problems; abstract; 1. introduction; 2. the quadratic case; 3. nonquadratic case; 4. minimization in the presence of errors; conclusions; acknowledgments; references; chapter 7. a new derivation of symmetricpositive definite secant updates; abstract; 1. introduction and background; 2. the bfgs and dfp from the good and bad broyden methods 3. hereditary positive definiteness and iren sizing forsymmetric rank-two updates4. a projected bfgs from the projected broyden update; 5. updating cholesky factors; references; appendix: the scaled bfgs derivation; chapter8. on preconditioned conjugate gradient methods; abstract; i. introduction; ii. using moderate additional storage; iii. utilizing sparse second order information; references; chapter 9. finding the global minimum of a function of one variable using the method of constantsigned higher order derivatives; abstract; 1. introduction; 2. preliminary theorems and lemmas 3. algorithmic considerations4. application to polynomial minimization; 5. effects of calculation errors; 6. comment; references; chapter 10. on a bundle algorithmfor nonsmooth optimization; abstract; 1. introduction; 2. the algorithm without constraints; 3. linearly constrained problems; appendix; references; chapter 11. convergence results in a class ofvariable metric subgradient methods1; abstract; 1. introduction; 2. examples; 3. a class of variable metric subgradient optimizationmethods; 4. various methods; 5. behaviour on systems of linear equalities and onquadratics; 6. experiments Notes 7. conclusion Nonlinear Programming 4 Print version record Subject Nonlinear programming -- Congresses MATHEMATICS -- Applied. MATHEMATICS -- Probability & Statistics -- General. Nonlinear programming Genre/Form Conference papers and proceedings Form Electronic book Author Mangasarian, Olvi L., 1934- Meyer, Robert R. Robinson, Stephen M. University of Wisconsin--Madison. Computer Sciences Department. ISBN 9781483260174 1483260178

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