UID:
edocfu_9959230834502883
Format:
1 online resource (360 p.)
Edition:
1st ed.
ISBN:
3-11-031528-9
,
3-11-031527-0
Series Statement:
De Gruyter Textbook
Content:
This book is an introduction to nonlinear programming. It deals with the theoretical foundations and solution methods, beginning with the classical procedures and reaching up to "modern" methods like trust region methods or procedures for nonlinear and global optimization. A comprehensive bibliography including diverse web sites with information about nonlinear programming, in particular software, is presented. Without sacrificing the necessary mathematical rigor, excessive formalisms are avoided. Several examples, exercises with detailed solutions, and applications are provided, making the text adequate for individual studies. The book is written for students from the fields of applied mathematics, engineering, economy, and computation.
Note:
Description based upon print version of record.
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Frontmatter --
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Preface --
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Contents --
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Notations --
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1 Introduction --
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Part I: Theoretical foundations --
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2 Optimality conditions --
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3 The convex optimization problem --
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4 Karush-Kuhn-Tucker conditions and duality --
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Part II: Solution methods --
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5 Iterative procedures and evaluation criteria --
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6 Unidimensional minimization --
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7 Unrestricted minimization --
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8 Linearly constrained problems --
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9 Quadratic problems --
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10 The general problem --
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11 Nondifferentiable and global optimization --
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Appendix: Solutions of exercises --
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References --
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Index
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English
Additional Edition:
ISBN 3-11-037251-7
Additional Edition:
ISBN 1-306-43003-8
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110315288
