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Numerical approximation theory --- Approximation theory --- Continued fractions --- Padé approximant

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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank

Mathematical physics --- Padé approximant --- Physique mathématique --- Padé, Approximants de --- Padé approximant --- Mathematical physics. --- Padé approximant. --- Physique mathématique --- Padé, Approximants de --- ELSEVIER-B EPUB-LIV-FT --- Padé approximant. --- Approximant, Padé --- Approximation theory --- Continued fractions --- Polynomials --- Power series --- Physical mathematics --- Physics --- Mathematics --- Approximation rationnelle --- Convergence --- Theoretical physics

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Operator theory --- Numerical approximation theory --- 517 --- Analysis --- Operator theory. --- Padé approximant. --- 517 Analysis --- Approximation et developpements --- Approximation de pade

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The first edition of this book was reviewed in 1982 as 'the most extensive treatment of Padé approximants actually available'. This second edition has been thoroughly updated, with a substantial chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.

Padé approximant. --- Mathematical physics. --- Physical mathematics --- Physics --- Approximant, Padé --- Approximation theory --- Continued fractions --- Polynomials --- Power series --- Mathematics

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History --- Numerical approximation theory --- Number theory --- Continued fractions. --- Pade approximant. --- 511 --- Continued fractions --- Pade approximant --- #KVIV:BB --- 517.518.8 --- 519.6 --- Approximant, Padé --- Approximation theory --- Polynomials --- Power series --- Fractions, Continued --- Series --- Processes, Infinite --- Approximation of functions by polynomials and their generalizations --- Computational mathematics. Numerical analysis. Computer programming --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- 511 Number theory --- Padé approximant