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Trust-Region Methods

Name: Trust-Region Methods
Brand: SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED
SKU: 9780898714609
Price: 427.0 AUD
Availability: InStock

SIAM - SOCIETY FOR INDUSTRIAL AND APPLIEDISBN: 9780898714609

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$427.00

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Edited by Andrew R. Conn, Nicholas I.M Gould, Philippe L. Toint
Imprint: SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED
Release Date: December 29, 2000
Format: HARDBACK
Dimensions: 229 x 152 mm
Weight: 1910 g
Pages: 978

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This is the first comprehensive reference on trust-region methods, a class of numerical algorithms for the solution of nonlinear convex optimization methods. Its unified treatment covers both unconstrained and constrained problems and reviews a large part of the specialized literature on the subject. It also provides an up-to-date view of numerical optimization. Written primarily for postgraduates and researchers, the book features an extensive commented bibliography, which contains more than 1000 references by over 750 authors. The book also contains several practical comments and an entire chapter devoted to software and implementation issues. Its many illustrations, including nearly 100 figures, balance the formal and intuitive treatment of the presented topics.

Preface Chapter 1: Introduction Part I: Preliminaries Chapter 2: Basic Concepts Chapter 3: Basic Analysis and Optimality Conditions Chapter 4: Basic Linear Algebra Chapter 5 Krylov Subspace Methods Part II: Trust-Region Methods For Unconstrained Optimization Chapter 6: Global Convergence of the Basic Algorithm Chapter 7: The Trust-Region Subproblem Chapter 8: Further Convergence Theory Issues Chapter 9: Conditional Models Chapter 10: Algorithmic Extensions Chapter 11: Nonsmooth Problems Part III: Trust-Region Methods For Constrained Optimization With Convex Constraints Chapter 12: Projection Methods for Convex Constraints Chapter 13: Barrier Methods for Inequality Constraints Part IV: Trust-Region Methods For General Constrained Optimization and Systems of Nonlinear Equations Chapter 14: Penalty-Function Methods Chapter 15: Sequential Quadratic Programming Methods Chapter 16: Nonlinear Equations and Nonlinear Fitting Part V: Final Considerations Chapter 17: Practicalities Afterword Appendix: A Summary of Assumptions Annotated Bibliography Subject and Notation Index Author Index.

Trust-Region Methods

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