An algorithmic approach to nonlinear analysis and optimization / Edward J. Beltrami.

Format:

Book

Author/Creator:

Beltrami, Edward J., author.

Series:

Mathematics in science and engineering ; 63.

Mathematics in science and engineering : a series of monographs and textbooks ; 63

Language:

English

Subjects (All):

Functional analysis.

Nonlinear programming.

Mathematical optimization.

Physical Description:

1 online resource (255 p.)

Place of Publication:

New York : Academic Press, 1970.

Language Note:

English

Summary:

An algorithmic approach to nonlinear analysis and optimization

Contents:

Front Cover; An Algorithmic Approach to Nonlinear Analysis and Optimization; Copyright Page; CONTENTS; Preface; Acknowledgments; Chapter 1. Iterative Methods on Normed Linear Spaces; 1.1 Introduction; 1.2 Contraction Mappings; 1.3 Differentiation on Normed Spaces; 1.4 Gradient Techniques; 1.5 Least Squares Approximation; 1.6 Two-Point Boundary Value Problems; 1.7 Further Remarks on Stability; Chapter 2. Constrained Optimization on En; 2.1 Introduction; 2.2 Semicontinuity and Convexity; 2.3 A Penalty Argument; 2.4 The Kuhn-Tucker and Lagrange Multiplier Rules; 2.5 The Regularity Assumption

2.6 Bibliographic Notes and Other RemarksChapter 3. Computational Techniques for Constrained Optimization on En; 3.1 Introduction; 3.2 Implementation of the Penalty Argument; 3.3 A Conjugate Direction Method; 3.4 Gradient Projection; 3.5 Numerical Examples and One-Dimensional Minimization; 3.6 Bibliographic Notes and Remarks; Chapter 4. Constrained Optimization in Function Space; 4.1 Introduction; 4.2 Problems of Optimal Control; 4.3 The Neyman-Pearson Multiplier Rule; Chapter 5. Weak Convergence in Hilbert Space; 5.1 Introduction; 5.2 Weak Convergence; 5.3 Fixed Points of Nonexpansive Maps

5.4 The Penalty Argument in Hilbert Space5.5 An Existence Question in Optimization; Appendix: Computer Program for the Solution of Two-Point Boundary Value Problems; Bibliography; AUTHOR INDEX; SUBJECT INDEX; Mathematics in Science and Engineering

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-282-76983-9

9786612769832

0-08-095573-8

OCLC:

699474118