Numerical analysis and optimization, Allaire, Gregoire (ecole Polytechnique, France)

Автор: Nocedal, Jorge.
Название: Numerical Optimization
ISBN: 0387303030 ISBN-13(EAN): 9780387303031
Издательство: Springer
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Цена: 71080.00 T
Наличие на складе: Заказано в издательстве.
Описание: Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Автор: Burden Annette, Burden Richard, Faires J. Douglas
Название: Numerical analysis
ISBN: 1305253663 ISBN-13(EAN): 9781305253667
Издательство: Cengage Learning
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Цена: 62820.00 T
Наличие на складе: Есть
Описание: Introduces readers to the theory and application of modern numerical approximation techniques. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work - and why, in some situations, they fail.

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 110763069X ISBN-13(EAN): 9781107630697
Издательство: Cambridge Academ
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Цена: 48570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 1107060575 ISBN-13(EAN): 9781107060579
Издательство: Cambridge Academ
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Цена: 141510.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

Автор: Yang Xin-She
Название: Introduction To Computational Mathematics (2Nd Edition)
ISBN: 9814635774 ISBN-13(EAN): 9789814635776
Издательство: World Scientific Publishing
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Цена: 95040.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.

Автор: Vui Ha Huy Et Al
Название: Genericity In Polynomial Optimization
ISBN: 1786342219 ISBN-13(EAN): 9781786342218
Издательство: World Scientific Publishing
Цена: 77090.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent developments from singularity theory and semi-algebraic geometry for studying polynomial optimization problems. Classes of generic problems are defined in a simple and elegant manner by using only the two basic (and relatively simple) notions of Newton polyhedron and non-degeneracy conditions associated with a given polynomial optimization problem. These conditions are well known in singularity theory, however, they are rarely considered within the optimization community.

Explanations focus on critical points and tangencies of polynomial optimization, HOlderian error bounds for polynomial systems, Frank-Wolfe-type theorem for polynomial programs and well-posedness in polynomial optimization. It then goes on to look at optimization for the different types of polynomials. Through this text graduate students, PhD students and researchers of mathematics will be provided with the knowledge necessary to use semi-algebraic geometry in optimization.

Автор: Emmanuel Laporte; Patrick Le Tallec
Название: Numerical Methods in Sensitivity Analysis and Shape Optimization
ISBN: 1461265983 ISBN-13(EAN): 9781461265986
Издательство: Springer
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Цена: 60940.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.

Автор: Yang Xin-She
Название: Introduction To Computational Mathematics (2Nd Edition)
ISBN: 9814635782 ISBN-13(EAN): 9789814635783
Издательство: World Scientific Publishing
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Цена: 57030.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.

Автор: Philip E. Gill, Walter Murray, Margaret H. Wright
Название: Practical Optimization
ISBN: 161197559X ISBN-13(EAN): 9781611975598
Издательство: Mare Nostrum (Eurospan)
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Цена: 63950.00 T
Наличие на складе: Невозможна поставка.
Описание: In the intervening years since this book was published in 1981, the field of optimization has been exceptionally lively. This fertility has involved not only progress in theory, but also faster numerical algorithms and extensions into unexpected or previously unknown areas such as semidefinite programming. Despite these changes, many of the important principles and much of the intuition can be found in this Classics version of Practical Optimization.This book provides model algorithms and pseudocode, useful tools for users who prefer to write their own code as well as for those who want to understand externally provided code. It presents algorithms in a step-by-step format, revealing the overall structure of the underlying procedures and thereby allowing a high-level perspective on the fundamental differences. And it contains a wealth of techniques and strategies that are well suited for optimization in the twenty-first century, and particularly in the now-flourishing fields of data science, “big data,” and machine learning. Practical Optimization is appropriate for advanced undergraduates, graduate students, and researchers interested in methods for solving optimization problems.

Автор: Michel Delfour
Название: Introduction to Optimization and Hadamard Semidifferential Calculus
ISBN: 1611975956 ISBN-13(EAN): 9781611975956
Издательство: Mare Nostrum (Eurospan)
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Цена: 94250.00 T
Наличие на складе: Невозможна поставка.
Описание: Provides an enhanced exposition of the long-overlooked Hadamard semidifferential calculus, first introduced in the 1920s by mathematicians Jacques Hadamard and Maurice Rene Frechet. Hadamard semidifferential calculus is possibly the largest family of nondifferentiable functions that retains all the features of classical differential calculus.

Автор: Ming-Jun Lai, Yang Wang
Название: Sparse Solutions of Underdetermined Linear Systems
ISBN: 1611976502 ISBN-13(EAN): 9781611976502
Издательство: Mare Nostrum (Eurospan)
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Цена: 74410.00 T
Наличие на складе: Нет в наличии.
Описание: This textbook presents a special solution of underdetermined linear systems where the number of nonzero entries in the solution is very small compared to the total number of entries. This is called sparse solution. As underdetermined linear systems can be very different, the authors explain how to compute a sparse solution by many approaches.Sparse Solutions of Underdetermined Linear Systems:Contains 72 algorithms for finding sparse solutions of underdetermined linear systems and their applications for matrix completion, graph clustering, and phase retrieval.Provides a detailed explanation of these algorithms including derivations and convergence analysis.Includes exercises for each chapter to help the reader understand the material.This textbook is appropriate for graduate students in math and applied math, computer science, statistics, data science, and engineering. Advisors and postdocs will also find the book of interest.It is appropriate for the following courses: Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory.

Автор: Peter Zornig
Название: Nonlinear Programming: An Introduction
ISBN: 3110315270 ISBN-13(EAN): 9783110315271
Издательство: Walter de Gruyter
Цена: 61920.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This book is an introduction to nonlinear programming. It deals with the theoretical foundations and solution methods, beginning with the classical procedures and reaching up to -modern- methods like trust region methods or procedures for nonlinear and global optimization. A comprehensive bibliography including diverse web sites with information about nonlinear programming, in particular software, is presented. Without sacrificing the necessary mathematical rigor, excessive formalisms are avoided. Several examples, exercises with detailed solutions, and applications are provided, making the text adequate for individual studies.