000 04337nam a22005295i 4500
001 978-0-387-78977-4
003 DE-He213
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007 cr nn 008mamaa
008 100716s2010 xxu| s |||| 0|eng d
020 _a9780387789774
020 _a99780387789774
024 7 _a10.1007/978-0-387-78977-4
_2doi
082 0 4 _a519.6
_223
100 1 _aForst, Wilhelm.
_eauthor.
245 1 0 _aOptimization-Theory and Practice
_h[electronic resource] /
_cby Wilhelm Forst, Dieter Hoffmann.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _aXVIII, 402p. 87 illus., 81 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
505 0 _a1. Introduction: Examples of Optimization Problems, Historical Overview -- 2. Optimality Conditions: Convex Sets, Inequalities, Local First- and Second-Order Optimality Conditions, Duality -- 3. Unconstrained Optimization Problems: Elementary Search and Localization Methods, Descent Methods with Line Search, Trust Region Methods, Conjugate Gradient Methods, Quasi-Newton Methods -- 4. Linearly Constrained Optimization Problems: Linear and Quadratic Optimization, Projection Methods -- 5. Nonlinearly Constrained Optimization Methods: Penalty Methods, SQP Methods -- 6. Interior-Point Methods for Linear Optimization: The Central Path, Newton's Method for the Primal-Dual System, Path-Following Algorithms, Predictor-Corrector Methods -- 7. Semidefinite Optimization: Selected Special Cases, The S-Procedure, The Function log°det, Path-Following Methods, How to Solve SDO Problems?, Icing on the Cake: Pattern Separation via Ellipsoids -- 8. Global Optimization: Branch and Bound Methods, Cutting Plane Methods -- Appendices: A Second Look at the Constraint Qualifications, The Fritz John Condition, Optimization Software Tools for Teaching and Learning -- Bibliography -- Index of Symbols -- Subject Index.
520 _aOptimization is an important field in its own right but also plays a central role in numerous applied sciences, including operations research, management science, economics, finance, and engineering. Optimization - Theory and Practice offers a modern and well-balanced presentation of various optimization techniques and their applications. The book's clear structure, sound theoretical basics complemented by insightful illustrations and instructive examples, makes it an ideal introductory textbook and provides the reader with a comprehensive foundation in one of the most fascinating and useful branches of mathematics. Notable features include: Detailed explanations of theoretic results accompanied by supporting algorithms and exercises, often supplemented by helpful hints or MATLAB®/MAPLE® code fragments; an overview of the MATLAB® Optimization Toolbox and demonstrations of its uses with selected examples; accessibility to readers with a knowledge of multi-dimensional calculus, linear algebra, and basic numerical methods. Written at an introductory level, this book is intended for advanced undergraduates and graduate students, but may also be used as a reference by academics and professionals in mathematics and the applied sciences.
650 0 _aMATHEMATICS.
650 0 _aALGEBRA
_xDATA PROCESSING.
650 0 _aALGEBRA.
650 0 _aCOMPUTER SCIENCE
_xMATHEMATICS.
650 0 _aCOMPUTER SCIENCE.
650 0 _aMATHEMATICAL OPTIMIZATION.
650 1 4 _aMATHEMATICS.
650 2 4 _aOPTIMIZATION.
650 2 4 _aSYMBOLIC AND ALGEBRAIC MANIPULATION.
650 2 4 _aCOMPUTATIONAL MATHEMATICS AND NUMERICAL ANALYSIS.
650 2 4 _aCOMPUTATIONAL SCIENCE AND ENGINEERING.
650 2 4 _aALGEBRA.
700 1 _aHoffmann, Dieter.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387789767
830 0 _aSpringer Undergraduate Texts in Mathematics and Technology,
_x1867-5506
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-78977-4
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59136
_d59136