Nonlinear Programming 4
eBook - PDF

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

  1. 560 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

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

About this book

Nonlinear Programming, 4 focuses on linear, quadratic, and nonlinear programming, unconstrained minimization, nonsmooth and discrete optimization, ellipsoidal methods, linear complementarity problems, and software evaluation. The selection first elaborates on an upper triangular matrix method for quadratic programming, solving quadratic programs by an exact penalty function, and QP-based methods for large-scale nonlinearly constrained optimization. Discussions focus on large-scale linearly constrained optimization, search direction for superbasic variables, finite convergence, basic properties, comparison of three active set methods, and QP-based methods for dense problems. The book then examines an iterative linear programming algorithm based on an augmented Lagrangian and iterative algorithms for singular minimization problems. The publication ponders on the derivation of symmetric positive definite secant updates, preconditioned conjugate gradient methods, and finding the global minimum of a function of one variable using the method of constant signed higher order derivatives. Topics include effects of calculation errors, application to polynomial minimization, using moderate additional storage, updating Cholesky factors, and utilizing sparse second order information. The selection is a valuable source of data for researchers interested in nonlinear programming.

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Yes, you can access Nonlinear Programming 4 by Olvi L. Mangasarian,Robert R. Meyer,Stephen M. Robinson in PDF and/or ePUB format, as well as other popular books in Matemáticas & Matemática aplicada. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780124686625
eBook ISBN
9781483260174
Topic
Matemáticas
Subtopic
Matemática aplicada

Table of contents

  1. Front Cover
  2. Nonlinear Programming 4
  3. Copyright Page
  4. Table of Contents
  5. CONTRIBUTORS
  6. PREFACE
  7. CHAPTER 1. AN UPPER TRIANGULAR MATRIX METHOD FOR QUADRATIC PROGRAMMING
  8. CHAPTER 2. SOLVING QUADRATIC PROGRAMS BY AN EXACT PENALTY FUNCTION
  9. CHAPTER 3. QP–BASED METHODS FOR LARGE-SCALE NONLINEARLY CONSTRAINED OPTIMIZATION
  10. CHAPTER 4. NUMERICAL EXPERIMENTS WITH AN EXACT L1 PENALTY FUNCTION METHOD
  11. CHAPTER 5. AN ITERATIVE LINEAR PROGRAMMING ALGORITHM BASED ON AN AUGMENTED LAGRANGIAN
  12. CHAPTER 6. ITERATIVE ALGORITHMS FOR SINGULAR MINIMIZATION PROBLEMS
  13. CHAPTER 7. A NEW DERIVATION OF SYMMETRIC POSITIVE DEFINITE SECANT UPDATES
  14. CHAPTER 8. ON PRECONDITIONED CONJUGATE GRADIENT METHODS
  15. CHAPTER 9. FINDING THE GLOBAL MINIMUM OF A FUNCTION OF ONE VARIABLE USING THE METHOD OF CONSTANT SIGNED HIGHER ORDER DERIVATIVES
  16. CHAPTER 10. ON A BUNDLE ALGORITHM FOR NONSMOOTH OPTIMIZATION
  17. CHAPTER 11. CONVERGENCE RESULTS IN A CLASS OFVARIABLE METRIC SUBGRADIENT METHODS1
  18. CHAPTER 12. MONOTROPIC PROGRAMMING: DESCENT ALGORITHMS AND DUALITY
  19. CHAPTER 13. APPROXIMATION AND CONVERGENCE IN NONLINEAR OPTIMIZATION
  20. CHAPTER 14. UPPER PLANES OF QUADRATIC 0-1 FUNCTIONS AND STABILITY IN GRAPHS
  21. CHAPTER 15. ON THE EXISTENCE OF FAST APPROXIMATION SCHEMES
  22. CHAPTER 16. POLYNOMIALLY BOUNDED ELLIPSOID ALGORITHMS FOR CONVEX QUADRATIC PROGRAMMING
  23. CHAPTER 17. THE IMPLICIT COMPLEMENTARITY PROBLEM
  24. CHAPTER 18. METHODS FOR EVALUATING NONLINEAR PROGRAMMING SOFTWARE
  25. SUBJECT INDEX