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Linear and nonlinar programming

"Linear and Nonlinear Programming" is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as a means for learning existing material and for developing new results. One major insight of this type is the connection between the purely analytical character of an optimization problem, expressed perhaps by properties of the necessary conditions, and the behavior of algorithms used to solve a problem. This was a major theme of the first and second editions. Now the third edition has been completely updated with recent Optimization Methods. Yinyu Ye has written chapters and chapter material on a number of these areas including Interior Point Methods. This book is designed for either self-study by professionals or classroom work at the undergraduate or graduate level for technical students. Like the field of optimization itself, which involves many classical disciplines, the book should be useful to system analysts, operations researchers, numerical analysts, management scientists, and other specialists.

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  • "Linear programming; basic properties of linear programs; the simplex method; duality; transportation and network flow problems; unconstrained problems; basic properties of solutions and algorithms; basic descent methods; conjugate direction methods; quasi-newton methods; constrained minimization; constrained minimization conditions; primal methods; penalty and barrier methods; dual and cutting plane methods; lagrange methods. Mathematical review; convex sets; gaussian elimination."
  • ""Linear and Nonlinear Programming" is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as a means for learning existing material and for developing new results. One major insight of this type is the connection between the purely analytical character of an optimization problem, expressed perhaps by properties of the necessary conditions, and the behavior of algorithms used to solve a problem. This was a major theme of the first and second editions. Now the third edition has been completely updated with recent Optimization Methods. Yinyu Ye has written chapters and chapter material on a number of these areas including Interior Point Methods. This book is designed for either self-study by professionals or classroom work at the undergraduate or graduate level for technical students. Like the field of optimization itself, which involves many classical disciplines, the book should be useful to system analysts, operations researchers, numerical analysts, management scientists, and other specialists."@en
  • """Linear and Nonlinear Programming" is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as a means for learning existing material and for developing new results. One major insight of this type is the connection between the purely analytical character of an optimization problem, expressed perhaps by properties of the necessary conditions, and the behavior of algorithms used to solve a problem. This was a major theme of the first and second editions. Now the third edition has been completely updated with recent Optimization Methods. Yinyu Ye has written chapters and chapter material on a number of these areas including Interior Point Methods. This book is designed for either self-study by professionals or classroom work at the undergraduate or graduate level for technical students. Like the field of optimization itself, which involves many classical disciplines, the book should be useful to system analysts, operations researchers, numerical analysts, management scientists, and other specialists."--Publisher's description."@en
  • "This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular. Again a connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve the problem. As in the earlier editions, the material in this fourth edition is organized into three separate parts. Part I is a self-contained introduction to linear programming covering numerical algorithms and many of its important special applications. Part II, which is independent of Part I, covers the theory of unconstrained optimization, including both derivations of the appropriate optimality conditions and an introduction to basic algorithms. Part III extends the concepts developed in the second part to constrained optimization problems. It is possible to go directly into Parts II and III omitting Part I, and, in fact, the book has been used in this way in many universities. New to this edition is a chapter devoted to Conic Linear Programming, a powerful generalization of Linear Programming. Indeed, many conic structures are possible and useful in a variety of applications. It must be recognized, however, that conic linear programming is an advanced topic, requiring special study. Other important and popular topics include (1) an accelerated steepest descent method that exhibits superior convergence properties and (2) the alternating direction method with multipliers (ADMM) that can be implemented distributionally. The proof of the convergence property for both standard and accelerated steepest descent methods are presented in Chapter 8, and the analysis of ADMM in Chapter 14 as a dual method. As in previous editions, end-of-chapter exercises appear for most chapters. From the reviews of the Third Edition " .this very well-written book is a classic textbook in Optimization. It should be present in the bookcase of each student, res."
  • "This edition has been updated with recent optimisation methods. The authors have written chapters and chapter material on a number of these areas including interior point methods. It is designed for either self-study by professionals or classroom work at undergraduate or graduate level for technical students."

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  • "Electronic books"
  • "Electronic books"@en

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  • "Linear and nonlinar programming"@en
  • "Programacion lineal y no lineal"@es
  • "Linear and nonlinear programming"@en
  • "Linear and nonlinear programming"
  • "Linear and Nonlinear Programming"
  • "Programación lineal y no lineal"
  • "Programación lineal y no lineal"@es

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