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Numerical Methods for Unconstrained Optimization and Nonlinear Equations: New
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Item specifics
- Condition
- Book Title
- Numerical Methods for Unconstrained Optimization and Nonlinear Eq
- Publication Date
- 1987-01-01
- Pages
- 394
- ISBN
- 9780898713640
About this product
Product Identifiers
Publisher
Society for Industrial AND Applied Mathematics
ISBN-10
0898713641
ISBN-13
9780898713640
eBay Product ID (ePID)
84516439
Product Key Features
Number of Pages
396 Pages
Publication Name
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
Language
English
Subject
Linear & Nonlinear Programming, Algebra / General, Optimization
Publication Year
1996
Type
Textbook
Subject Area
Mathematics
Series
Classics in Applied Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.9 in
Item Weight
19.8 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
95-051776
Series Volume Number
Vol. 16
Illustrated
Yes
Dewey Decimal
519.3
Table Of Content
Preface to the Classics edition Preface Chapter 1: Introduction. Problems to be considered Characteristics of "real-world" problems Finite-precision arithmetic and measurement of error Exercises Chapter 2: Nonlinear Problems in One Variable. What is not possible Newton's method for solving one equation in one unknown Convergence of sequences of real numbers Convergence of Newton's method Globally convergent methods for solving one equation in one unknown Methods when derivatives are unavailable Minimization of a function of one variable Exercises Chapter 3: Numerical Linear Algebra Background. Vector and matrix norms and orthogonality Solving systems of linear equations-matrix factorizations Errors in solving linear systems Updating matrix factorizations Eigenvalues and positive definiteness Linear least squares Exercises Chapter 4: Multivariable Calculus Background Derivatives and multivariable models Multivariable finite-difference derivatives Necessary and sufficient conditions for unconstrained minimization Exercises Chapter 5: Newton's Method for Nonlinear Equations and Unconstrained Minimization. Newton's method for systems of nonlinear equations Local convergence of Newton's method The Kantorovich and contractive mapping theorems Finite-difference derivative methods for systems of nonlinear equations Newton's method for unconstrained minimization Finite-difference derivative methods for unconstrained minimization Exercises Chapter 6: Globally Convergent Modifications of Newton's Method. The quasi-Newton framework Descent directions Line searches The model-trust region approach Global methods for systems of nonlinear equations Exercises Chapter 7: Stopping, Scaling, and Testing. Scaling Stopping criteria Testing Exercises Chapter 8: Secant Methods for Systems of Nonlinear Equations. Broyden's method Local convergence analysis of Broyden's method Implementation of quasi-Newton algorithms using Broyden's update Other secant updates for nonlinear equations Exercises Chapter 9: Secant Methods for Unconstrained Minimization. The symmetric secant update of Powell Symmetric positive definite secant updates Local convergence of positive definite secant methods Implementation of quasi-Newton algorithms using the positive definite secant update Another convergence result for the positive definite secant method Other secant updates for unconstrained minimization Exercises Chapter 10: Nonlinear Least Squares. The nonlinear least-squares problem Gauss-Newton-type methods Full Newton-type methods Other considerations in solving nonlinear least-squares problems Exercises Chapter 11: Methods for Problems with Special Structure. The sparse finite-difference Newton method Sparse secant methods Deriving least-change secant updates Analyzing least-change secant methods Exercises Appendix A: A Modular System of Algorithms for Unconstrained Minimization and Nonlinear Equations (by Robert Schnabel) Appendix B: Test Problems (by Robert Schnabel) References Author Index Subject Index.
Synopsis
This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems., This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or ""quasi-Newton"" methods, and the heart of the book is the material on computational methods for multidimensional unconstrained optimization and nonlinear equation problems. The republication of this book by SIAM is driven by a continuing demand for specific and sound advice on how to solve real problems. The level of presentation is consistent throughout, with a good mix of examples and theory, making it a valuable text at both the graduate and undergraduate level. It has been praised as excellent for courses with approximately the same name as the book title and would also be useful as a supplemental text for a nonlinear programming or a numerical analysis course. Many exercises are provided to illustrate and develop the ideas in the text. A large appendix provides a mechanism for class projects and a reference for readers who want the details of the algorithms. Practitioners may use this book for self-study and reference. For complete understanding, readers should have a background in calculus and linear algebra. The book does contain background material in multivariable calculus and numerical linear algebra.
LC Classification Number
QA402.5 .D44 1996
Item description from the seller
Seller feedback (516,075)
- m***m (2313)- Feedback left by buyer.Past 6 monthsVerified purchaseI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!
- a***n (54)- Feedback left by buyer.Past 6 monthsVerified purchaseMistakenly ordered a paperback that I thought was a hardcover, not sellers fault; it was described properly on the listing. Seller still processed a refund the day I went to return the item and let me keep the item anyway. A+++ service. Book arrived quickly in great condition and for a great price. Thank you so much! Amazing seller!
- n***c (97)- Feedback left by buyer.Past 6 monthsVerified purchaseseller was communicative about my shipment, media mail took a while and tracking wasn't updated frequently, but seller communicated to me very quickly on status. the item came new and wrapped as described, though the packaging in it was packed wasn't sturdy and falling apart when it got to me.
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Seller feedback (516,075)
- m***m (2313)- Feedback left by buyer.Past 6 monthsVerified purchaseI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!
- a***n (54)- Feedback left by buyer.Past 6 monthsVerified purchaseMistakenly ordered a paperback that I thought was a hardcover, not sellers fault; it was described properly on the listing. Seller still processed a refund the day I went to return the item and let me keep the item anyway. A+++ service. Book arrived quickly in great condition and for a great price. Thank you so much! Amazing seller!
- n***c (97)- Feedback left by buyer.Past 6 monthsVerified purchaseseller was communicative about my shipment, media mail took a while and tracking wasn't updated frequently, but seller communicated to me very quickly on status. the item came new and wrapped as described, though the packaging in it was packed wasn't sturdy and falling apart when it got to me.