Kelley C.T. Iterative methods for optimization

Издательство Springer, 2007, -675 pp. The rapid advancements in the efficiency of digital computers and the evolution of reliable software for numerical computation during the past three decades have led to an astonishing growth in the theory, methods, and algorithms of numerical optimization. This body of knowledge has, in turn, motivated widespread applications of optimization methods in many disciplines, e.g., engineering, business, and scien...

Springer, 2008. - 292 pages. The wide scope of optimization mandates extensive interaction between various disciplines in the development of the methods and algorithms, and in their fruitful application to real-world problems. This book presents a discipline-independent view of optimization, providing opportunities for students to identify and apply algorithms, methods, and tools from the diverse areas of optimization to their own fields without...

Wiley, 2000. - 450 pages. Fully describes optimization methods that are currently most valuable in solving real-life problems. Since optimization has applications in almost every branch of science and technology, the text emphasizes their practical aspects in conjunction with the heuristics useful in making them perform more reliably and efficiently. To this end, it presents comparative numerical studies to give readers a feel for possibile appl...

John Wiley & Sons, 1980. - 128 Pages. This established textbook is noted for its coverage of optimization methods that are of practical importance. It provides a thorough treatment of standard methods such as linear and quadratic programming, Newton-like methods and the conjugate gradient method. The theoretical aspects of the subject include an extended treatment of optimality conditions and the significance of Lagrange multipliers. The rel...

Hardcover: 664 pages. Publisher: Springer; 1999. Language: English. Review MMOR Mathematical Methods of Operations Research, 2001: "The books looks very suitable to be used in an graduate-level course in optimization for students in mathematics, operations research, engineering, and others. Moreover, it seems to be very helpful to do some self-studies in optimization, to complete own knowledge and can be a source of new ideas. I recommend this...

Springer – 2006, 685 pages. ISBN: 0387303030. Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear int...

John Wiley & Sons, 2009. 813 p. 4th ed. ISBN 978-0-470-18352-6. Contents. Preface. Introduction to Optimization. Classical Optimization Techniques. Linear Programming I: Simplex Method. Linear Programming II: Additional Topics and Extensions. Nonlinear Programming I: One-Dimensional Minimization Methods. Nonlinear Programming II: Unconstrained Optimization Techniques. Nonlinear Programming III: Constrained Optimization Techniques. Geometric P...

Only in Engllish, Princeton University Press. Discussed unconstrained optimization problem with nonlinear optimization models, nonlinear optimization theory, and numerical methods of optimization (for instance, quadratic programming problems).

Springer,2005 1. Introduction What is mathematical optimization? Objective and constraint functions Basic optimization concepts Further mathematical prerequisites Unconstrained minimization Line search descent mtthods for uncinstrained mininization 2. General line search descent algorithm for unconstrained minimization One-dimensional line search First order line search descent methods Second order line search descent methods Zero o...

Wiley & Sons, 2001. - 416 pages. The term "optimization" is used in describing a large number of numerical methods used to test the variables in a given process in order to identify the best method of process. The process of optimization lies at the root of engineering since the classical function of the engineer is to design new, more efficient, and less expensive systems as well as to devise plans and procedures to improve existing systems...