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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 --- Pade 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 matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. Aproximacao (Analise Numerica) Natuurkunde Padé approximant Padé, Approximants de Padé, Approximation de Padé-Näherung Padé-Näherungsbruch Padé-benaderingen Physique mathématique SCIENCE/Mathematical & Computational SCIENCE/Physics Theoretische Physik
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