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Optimization Theory and Methods
Nonlinear Programming
Buch von Ya-Xiang Yuan (u. a.)
Sprache: Englisch

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Beschreibung
Optimization Theory and Methods can be used as a textbook for an optimization course for graduates and senior undergraduates. It is the result of the author's teaching and research over the past decade. It describes optimization theory and several powerful methods. For most methods, the book discusses an ideäs motivation, studies the derivation, establishes the global and local convergence, describes algorithmic steps, and discusses the numerical performance.
Optimization Theory and Methods can be used as a textbook for an optimization course for graduates and senior undergraduates. It is the result of the author's teaching and research over the past decade. It describes optimization theory and several powerful methods. For most methods, the book discusses an ideäs motivation, studies the derivation, establishes the global and local convergence, describes algorithmic steps, and discusses the numerical performance.
Zusammenfassung

This book, a result of the authors' teaching and research experience in various universities and institutes over the past ten years, can be used as a textbook for an optimization course for graduates and senior undergraduates. It systematically describes optimization theory and several powerful methods, including recent results. For most methods, the authors discuss an idea's motivation, study the derivation, establish the global and local convergence, describe algorithmic steps, and discuss the numerical performance. The book deals with both theory and algorithms of optimization concurrently. It also contains an extensive bibliography. Finally, apart from its use for teaching, Optimization Theory and Methods will be very useful as a research reference.

Inhaltsverzeichnis
Line Search.- Newton's Methods.- Conjugate Gradient Method.- Quasi-Newton Methods.- Trust-Region Methods and Conic Model Methods.- Solving Nonlinear Least-Squares Problems.- Theory of Constrained Optimization.- Quadratic Programming.- Penalty Function Methods.- Feasible Direction Methods.- Sequential Quadratic Programming.- Trust-Region Methods for Constrained Problems.- Nonsmooth Optimization.
Details
Erscheinungsjahr: 2006
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xii
687 S.
25 s/w Illustr.
25 Fotos
ISBN-13: 9780387249759
ISBN-10: 0387249753
Sprache: Englisch
Herstellernummer: 11384021
Einband: Gebunden
Autor: Yuan, Ya-Xiang
Sun, Wenyu
Hersteller: Springer US
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 42 mm
Von/Mit: Ya-Xiang Yuan (u. a.)
Erscheinungsdatum: 24.05.2006
Gewicht: 1,203 kg
Artikel-ID: 102209998
Zusammenfassung

This book, a result of the authors' teaching and research experience in various universities and institutes over the past ten years, can be used as a textbook for an optimization course for graduates and senior undergraduates. It systematically describes optimization theory and several powerful methods, including recent results. For most methods, the authors discuss an idea's motivation, study the derivation, establish the global and local convergence, describe algorithmic steps, and discuss the numerical performance. The book deals with both theory and algorithms of optimization concurrently. It also contains an extensive bibliography. Finally, apart from its use for teaching, Optimization Theory and Methods will be very useful as a research reference.

Inhaltsverzeichnis
Line Search.- Newton's Methods.- Conjugate Gradient Method.- Quasi-Newton Methods.- Trust-Region Methods and Conic Model Methods.- Solving Nonlinear Least-Squares Problems.- Theory of Constrained Optimization.- Quadratic Programming.- Penalty Function Methods.- Feasible Direction Methods.- Sequential Quadratic Programming.- Trust-Region Methods for Constrained Problems.- Nonsmooth Optimization.
Details
Erscheinungsjahr: 2006
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xii
687 S.
25 s/w Illustr.
25 Fotos
ISBN-13: 9780387249759
ISBN-10: 0387249753
Sprache: Englisch
Herstellernummer: 11384021
Einband: Gebunden
Autor: Yuan, Ya-Xiang
Sun, Wenyu
Hersteller: Springer US
Springer US, New York, N.Y.
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 42 mm
Von/Mit: Ya-Xiang Yuan (u. a.)
Erscheinungsdatum: 24.05.2006
Gewicht: 1,203 kg
Artikel-ID: 102209998
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