Ruszczynski A. Nonlinear Optimization

New York: Wiley-Interscience, 2001. - 279 pp. На англ. яз. A comprehensive introduction to convexity and optimization in Rn This book presents the mathematics of finite dimensional constrained optimization problems. It provides a basis for the further mathematical study of convexity, of more general optimization problems, and of numerical algorithms for the solution of finite dimensional optimization problems. For readers who do not have the req...

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...

Springer, 2007. 296 pages. This book presents an application-oriented introduction to the theory of nonlinear optimization. It describes basic notions and conceptions of optimization in the setting of normed or even Banach spaces. Various theorems are applied to problems in related mathematical areas. For instance, the Euler-Lagrange equation in the calculus of variations, the generalized Kolmogorov condition and the alternation theorem in approx...

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, 2004. - 252 Pages. Finite-dimensional optimization problems occur throughout the mathematical sciences. The majority of these problems cannot be solved analytically. This introduction to optimization attempts to strike a balance between presentation of mathematical theory and development of numerical algorithms. Building on students’ skills in calculus and linear algebra, the text provides a rigorous exposition without undue abstractio...

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...

Springer, 2004. - 245 Pages. This undergraduate textbook introduces students of science and engineering to the fascinating field of optimization. It is a unique book that brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible in...

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...

Издательство Springer, 2006, -688 pp. Optimization is a subject that is widely and increasingly used in science, engineering, economics, management, industry, and other areas. It deals with selecting the best of many possible decisions in real-life environment, constructing computational methods to find optimal solutions, exploring the theoretical properties, and studying the computational performance of numerical algorithms implemented based on...

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...