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Operator theory --- Numerical approximation theory --- Laurent series --- Pade approximant --- 519.6 --- 681.3*G12 --- Approximant, Padé --- Approximation theory --- Continued fractions --- Polynomials --- Power series --- Series, Laurent --- Functions of complex variables --- Series, Taylor's --- Computational mathematics. Numerical analysis. Computer programming --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- Laurent series. --- Padé approximant. --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Padé approximant --- Approximations

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While most textbooks on Numerical Analysis discuss linear techniques for the solution of various numerical problems, this book introduces and illustrates nonlinear methods. It presents several nonlinear techniques resulting mainly from the use of Padé approximants and rational interpolants.

Analyse numérique --- Numerical analysis --- Numerieke analyse --- 517.518.8 --- 519.6 --- 681.3*G11 --- 681.3*G12 --- Mathematical analysis --- Approximation of functions by polynomials and their generalizations --- Computational mathematics. Numerical analysis. Computer programming --- Interpolation: difference formulas; extrapolation; smoothing; spline and piecewise polynomial interpolation (Numerical analysis) --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 681.3*G11 Interpolation: difference formulas; extrapolation; smoothing; spline and piecewise polynomial interpolation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Analyse numérique --- ELSEVIER-B EPUB-LIV-FT --- Mathematical analysis. --- Numerical analysis. --- 517.1 Mathematical analysis --- Analyse numérique. --- Series (mathematique) --- Equations non lineaires --- Sommation --- Approximation des solutions

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Functions of real variables --- Approximation theory --- Approximation theory. --- Functions of real variables. --- Approximatietheorie --- Fonctions de variables reelles --- Functies van reële veranderlijken --- Théorie des approximations --- 681.3*612 --- 517.518.84 --- 517.51 --- 519.6 --- 681.3*G12 --- 681.3*G12 Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- Approximation: chebyshev; elementary function; least squares; linear approximation; minimax approximation and algorithms; nonlinear and rational approximation; spline and piecewise polynomial approximation (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Real variables --- Functions of complex variables --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- 517.51 Functions of a real variable. Real functions --- Functions of a real variable. Real functions --- 517.518.84 Approximation by rational functions --- Approximation by rational functions --- Computerwetenschap--?*612