The Mathematics of Nonlinear Programming

Anthony L. Peressini

ISBN 10: 0387966145 / ISBN 13: 9780387966144

Verlag: Springer New York Mrz 1988, 1988

Beschreibung

This item is printed on demand - it takes 3-4 days longer - Neuware -Nonlinear programming provides an excellent opportunity to explore an interesting variety of pure and solidly applicable mathematics, numerical analysis, and computing. This text develops some of the ideas and techniques involved in the optimization methods using calculus, leading to the study of convexity. This is followed by material on basic numerical methods, least squares, the Karush-Kuhn-Tucker theorem, penalty functions, and Lagrange multipliers. The authors have aimed their presentation at the student who has a working knowledge of matrix algebra and advanced calculus, but has had no previous exposure to optimization. 292 pp. Englisch. Bestandsnummer des Verkäufers 9780387966144

Bibliografische Details

Titel: The Mathematics of Nonlinear Programming

Verlag: Springer New York Mrz 1988

Erscheinungsdatum: 1988

Einband: Buch

Zustand: Neu

Über diesen Titel

Inhaltsangabe:

NONLINEAR PROGRAMMING PROVIDES AN EXCELLENT OPPORTUNITY TO EXPLORE AN INTERESTING VARIETY OF PURE AND SOLIDLY APPLICABLE MATHEMATICS, NUMERICAL ANALYSIS, AND COMPUTING. THIS TEXT DEVELOPS SOME OF THE IDEAS AND TECHNIQUES INVOLVED IN THE OPTIMIZATION METHODS USING CALCULUS, LEADING TO THE STUDY OF CONVEXITY. THIS IS FOLLOWED BY MATERIAL ON BASIC NUMERICAL METHODS, LEAST SQUARES, THE KARUSH-KUHN-TUCKER THEOREM, PENALTY FUNCTIONS, AND LAGRANGE MULTIPLIERS. THE AUTHORS HAVE AIMED THEIR PRESENTATION AT THE STUDENT WHO HAS A WORKING KNOWLEDGE OF MATRIX ALGEBRA AND ADVANCED CALCULUS, BUT HAS HAD NO PREVIOUS EXPOSURE TO OPTIMIZATION.