Approximation Theory and Algorithms for Data Analysis (eBook, PDF)
Armin Iske
eBook, PDF

Approximation Theory and Algorithms for Data Analysis (eBook, PDF)

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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 estima...

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