Numerical Methods for Unconstrained Optimization and Nonlinear Equations

Numerical Methods for Unconstrained Optimization and Nonlinear Equations
Author: J. E. Dennis, Jr.
Publisher: SIAM
Total Pages: 390
Release: 1996-12-01
Genre: Mathematics
ISBN: 0898713641

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A complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations.

Numerical Methods for Unconstrained Optimization and Nonlinear Equations

Numerical Methods for Unconstrained Optimization and Nonlinear Equations
Author: J. E. Dennis
Publisher: Society for Industrial and Applied Mathematics
Total Pages: 394
Release: 1987-01-01
Genre: Mathematics
ISBN: 9780898713640

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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.

无约束最优化与非线性方程的数值方法

无约束最优化与非线性方程的数值方法
Author: John E. Dennis
Publisher:
Total Pages: 378
Release: 1996
Genre: Equations
ISBN: 9787030234827

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中国科学院科学出版基金资助出版

Numerical Optimization

Numerical Optimization
Author: Jorge Nocedal
Publisher: Springer Science & Business Media
Total Pages: 686
Release: 2006-12-11
Genre: Mathematics
ISBN: 0387400656

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Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Large-Scale Nonlinear Optimization

Large-Scale Nonlinear Optimization
Author: Gianni Pillo
Publisher: Springer
Total Pages: 0
Release: 2011-02-11
Genre: Mathematics
ISBN: 9781441940148

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This book reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research. Individual chapters, contributed by eminent authorities, provide an up-to-date overview of the field from different and complementary standpoints, including theoretical analysis, algorithmic development, implementation issues and applications.

Nonlinear Equations and Optimisation

Nonlinear Equations and Optimisation
Author: L.T. Watson
Publisher: Gulf Professional Publishing
Total Pages: 392
Release: 2001-03-28
Genre: Mathematics
ISBN: 9780444505996

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After a review of historical developments in convergence analysis for Newton's and Newton-like methods, 18 papers deal in depth with various classical, or neo-classical approaches, as well as newer ideas on optimization and solving linear equations. A sampling of topics: truncated Newton methods, sequential quadratic programming for large- scale nonlinear optimization, and automatic differentiation of algorithms. This monograph, one of seven volumes in the set, is also published as the Journal of Computational and Applied Mathematics; v.124 (2000). Indexed only by author. c. Book News Inc.

Numerical Solutions of Realistic Nonlinear Phenomena

Numerical Solutions of Realistic Nonlinear Phenomena
Author: J. A. Tenreiro Machado
Publisher: Springer Nature
Total Pages: 231
Release: 2020-02-19
Genre: Mathematics
ISBN: 3030371417

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This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.

Numerical Methods and Optimization

Numerical Methods and Optimization
Author: Sergiy Butenko
Publisher: CRC Press
Total Pages: 408
Release: 2014-03-11
Genre: Business & Economics
ISBN: 1466577789

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For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must first grasp the analysis of algorithms, computational complexity, and other concepts and modern developments in numerical methods. Satisfying this prerequisite, Numerical Methods and Optimization: An Intro