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Approximation Theory and Algorithms for Data Analysis / by Armin Iske

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Texts in Applied Mathematics ; 68 | Springer eBook Collection | SpringerLink BücherPublisher: Cham : Springer International Publishing, 2018Description: Online-Ressource (X, 358 p. 34 illus., 15 illus. in color, online resource)ISBN:
  • 9783030052287
Subject(s): Additional physical formats: 9783030052270 | 9783030052294 | Erscheint auch als: 978-3-030-05227-0 Druck-Ausgabe | Printed edition: 9783030052270 | Printed edition: 9783030052294 | Erscheint auch als: Approximation theory and algorithms for data analysis. Druck-Ausgabe Cham : Springer, 2018. X, 358 SeitenDDC classification:
  • 511.4
MSC: MSC: *41-01 | 65-01 | 94-01 | 94A12LOC classification:
  • QA401-425
DOI: DOI: 10.1007/978-3-030-05228-7Online resources: Summary: This textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role. The following topics are covered: * least-squares approximation and regularization methods * interpolation by algebraic and trigonometric polynomials * basic results on best approximations * Euclidean approximation * Chebyshev approximation * asymptotic concepts: error estimates and convergence rates * signal approximation by Fourier and wavelet methods * kernel-based multivariate approximation * approximation methods in computerized tomography Providing numerous supporting examples, graphical illustrations, and carefully selected exercises, this textbook is suitable for introductory courses, seminars, and distance learning programs on approximation for undergraduate studentsSummary: 1 Introduction -- 2 Basic Methods and Numerical Analysis -- 3 Best Approximations -- 4 Euclidean Approximations -- 5 Chebyshev Approximations -- 6 Asymptotic Results -- 7 Basic Concepts of Signal Approximation -- 8 Kernel-Based Approximation -- 9 Computational Topology -- References -- Subject Index -- Name IndexPPN: PPN: 104554700XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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Reproduktion. (Springer eBook Collection. Mathematics and Statistics)

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