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    1. Naturvetenskap och teknik
    2. Matematik och naturvetenskap
    3. Matematik
    4. Optimering

    Linear and Nonlinear Programming

    Second Edition

    AvDavid G. Luenberger

    Inbunden, Engelska, 2003

    1 296 kr

    Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

    Fler format och utgåvor

    Häftad

    1 188 kr

    Inbunden

    1 618 kr

    Inbunden

    1 592 kr

    Häftad

    1 119 kr

    Häftad

    1 198 kr

    Beskrivning

    "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 edition of this book and the second edition expands and further illustrates this relationship."Linear and Nonlinear Programming" covers the central concepts of practical optimization techniques. It 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 from the host of disciplines from which practical optimization applications are drawn.

    Produktinformation

    • Utgivningsdatum:2003-09-30
    • Mått:156 x 234 x 33 mm
    • Vikt:934 g
    • Format:Inbunden
    • Språk:Engelska
    • Antal sidor:492
    • Upplaga:2
    • Förlag:Kluwer Academic Publishers
    • ISBN:9781402075933

    Utforska kategorier

    • Optimering inom Naturvetenskap och teknik
    • Tillämpad matematik inom Naturvetenskap och teknik
    • Programmeringsböcker inom Data och IT

    Mer om författaren

    David G. Luenberger has directed much of his career toward teaching "portable concepts" - organizing theory around concepts and actually "porting" the concepts to applications where, in the process, the general concepts are often discovered. The search for fundamentals has explicitly directed his research in the fields of control, optimization, planning, economics, and investments, and in turn, it is the discovery of these fundamentals that have motivated his textbook writing projects.

    Recensioner i media

    From the reviews of the second edition: "I have profitably used the book to apply constrained minimization procedures in the field of computational contact mechanics. I think it is not a secret that quite often books on mathematics are written from mathematicians for mathematicians. Hence it is quite hard for engineers to read and to extract valuable information from them. With this respect this book is a shining star. It presents the topics in a very precise but clear and understandable way." (Giorgio Azvaris, Turin, Italy) "I have the 1977 edition from my father's MIT days. I am a Mathematician and I can verify that the book written in 1977 is of the same style that good books have today. A book is not made obsolete because some new "elegant" terms arise." (A reader from Greece) "In this second edition ... David Luenberger focuses on practical optimization techniques. ... the book would be appropriate for graduate students or for self-study by professionals. ... I recommend the book for those who are familiar with elements of linear algebra ... . The book concludes with three short appendices ... and a bibliography and a short index. ... is intended for those who want to look deeply into optimization techniques, linear and nonlinear. ... will be useful to researchers, engineers, and graduate students." (Sergio Ubeda, Interfaces, Vol. 37 (1), 2007)

    Innehållsförteckning

    • 1. Introduction.- Part I: Linear Programming. 2. Basic Properties of Linear Programs. 3. The Simplex Method. 4. Duality. 5. Transportation and Network Flow Problems.- Part II: Unconstrained Problems. 6. Basic Properties of Solutions and Algorithms. 7. Basic Descent Methods. 8. Conjugate Direction Methods. 9. Quasi-Newton Methods.- Part III: Constrained Minimization. 10. Constrained Minimization Conditions. 11. Primal Methods. 12. Penalty and Barrier Methods. 13. Dual and Cutting Plane Methods. 14. Lagrange Methods.- Appendix A: Mathematical Review. A.1. Sets. A.2. Matrix Notation. A.3. Spaces. A.4. Eigenvalues and Quadratic Forms. A.5. Topological Concepts. A.6. Functions.- Appendix B: Convex Sets. B.1. Basic Definitions. B.2. Hyperplanes and Polytopes. B.3. Separating and Supporting Hyperplanes. B.4. Extreme Points.- Appendix C: Gaussian Elimination.- Bibliography. Index.
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