A Course on Optimization and Best Approximation PDF Download
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Author: R. B. Holmes
Publisher:
ISBN: 9783662166925
Category :
Languages : en
Pages : 252
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Book Description
Author: R. B. Holmes
Publisher:
ISBN: 9783662166925
Category :
Languages : en
Pages : 252
Get Book
Book Description
Author: Richard B. Holmes
Publisher: Springer
ISBN:
Category : Approximation theory
Languages : en
Pages : 530
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Book Description
Author: R. B. Holmes
Publisher: Springer
ISBN: 3540371826
Category : Mathematics
Languages : en
Pages : 245
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Book Description
Author: Ioannis C. Demetriou
Publisher: Springer
ISBN: 3030127672
Category : Mathematics
Languages : en
Pages : 237
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Book Description
This book focuses on the development of approximation-related algorithms and their relevant applications. Individual contributions are written by leading experts and reflect emerging directions and connections in data approximation and optimization. Chapters discuss state of the art topics with highly relevant applications throughout science, engineering, technology and social sciences. Academics, researchers, data science practitioners, business analysts, social sciences investigators and graduate students will find the number of illustrations, applications, and examples provided useful. This volume is based on the conference Approximation and Optimization: Algorithms, Complexity, and Applications, which was held in the National and Kapodistrian University of Athens, Greece, June 29–30, 2017. The mix of survey and research content includes topics in approximations to discrete noisy data; binary sequences; design of networks and energy systems; fuzzy control; large scale optimization; noisy data; data-dependent approximation; networked control systems; machine learning ; optimal design; no free lunch theorem; non-linearly constrained optimization; spectroscopy.
Author: Ivan Singer
Publisher: SIAM
ISBN: 9781611970548
Category : Mathematics
Languages : en
Pages : 102
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Book Description
Results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation and a powerful tool for obtaining new results.
Author: Frank R. Deutsch
Publisher: Springer Science & Business Media
ISBN: 1468492985
Category : Mathematics
Languages : en
Pages : 344
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Book Description
This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra.
Author: Ivan Singer
Publisher: Springer Science & Business Media
ISBN: 0387283951
Category : Mathematics
Languages : en
Pages : 366
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Book Description
The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity. This manuscript will be of great interest for experts in this and related fields.
Author: George Isac
Publisher: Frankfurt am Main : P. Lang
ISBN:
Category : Mathematics
Languages : en
Pages : 152
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Book Description
This book presents several new results on the best simultaneous approximation in locally convex spaces. The concept of nuclear cone is systematically used to establish some interesting relations with Pareto optimization and the duality for vectorial optimization programs with multifunctions.
Author: S. B. Stechkin
Publisher: American Mathematical Soc.
ISBN: 9780821830499
Category : Mathematics
Languages : en
Pages : 280
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Book Description
Papers and articles about polynomials and splines pproximation.
Author: C. K. Chui
Publisher: Elsevier
ISBN: 1483271005
Category : Mathematics
Languages : en
Pages : 346
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Book Description
Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. The reader is then introduced to ill-posed problems in multivariate approximation; interpolation of scattered data by radial functions; and shape-preserving surface interpolation. Subsequent chapters focus on approximation by harmonic functions; numerical generation of nested series of general triangular grids; triangulation methods; and inequalities arising from best local approximations in rectangles. A bibliography of multivariate approximation concludes the book. This monograph will be of interest to mathematicians.
