Nonlinear Programming
Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, May 4-6, 1970
Published on 10. May 2014
502 pages
978-1-4832-7246-7 (ISBN)
Description
Nonlinear Programming contains the proceedings of a Symposium on Nonlinear Programming held in Madison, Wisconsin on May 4-6, 1970. This book emphasizes algorithms and related theories that lead to efficient computational methods for solving nonlinear programming problems. This compilation consists of 17 chapters. Chapters 1 to 9 are concerned primarily with computational algorithms, while Chapters 10 to 13 are devoted to theoretical aspects of nonlinear programming. Certain applications of nonlinear programming are considered in Chapters 14 to 17. The algorithms for nonlinear constraint problems, investigation of convergence rates, and use of nonlinear programming for approximation are also covered in this text. This publication is a good source for students and researchers concerned with nonlinear programming.
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01/1970
Academic Press
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Content
ForewordPrefaceA Method of Centers by Upper-Bounding Functions with ApplicationsA New Algorithm for Unconstrained OptimizationA Class of Methods for Nonlinear Programming II Computational ExperienceSome Algorithms Based on the Principle of Feasible DirectionsNumerical Techniques in Mathematical ProgrammingA Superlinearly Convergent Method for Unconstrained MinimizationA Second Order Method for the Linearly Constrained Nonlinear Programming ProblemConvergent Step-Sizes for Gradient-Like Feasible Direction Algorithms for Constrained OptimizationOn the Implementation of Conceptual AlgorithmsSome Convex Programs Whose Duals Are Linearly ConstrainedSufficiency Conditions and a Duality Theory for Mathematical Programming Problems in Arbitrary Linear SpacesRecent Results on Complementarity ProblemsNonlinear Nondifferentiable Programming in Complex SpaceDuality Inequalities of Mathematics and ScienceProgramming Methods in Statistics and Probability TheoryApplications of Mathematical Programming to lp ApproximationTheoretical and Computational Aspects of Nonlinear RegressionIndex
