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. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Computational Methods for Modeling of Nonlinear Systems, Volume 81 (Mathematics in Science and Engineering)

Science & Math

Torokhti, Anatoli

Howlett, Phil

Mathematics

Elsevier Science

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; andmethods 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 particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Computational Methods for Modeling of Nonlinear Systems, Volume 127 (Mathematics in Science and Engineering)

Computational Methods for Modeling of Nonlinear Systems, Volume 59 (Mathematics in Science and Engineering)

Computational Methods for Modeling of Nonlinear Systems, Volume 11 (Mathematics in Science and Engineering)

Academic Press

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; andmethods 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 particularbranches, such as optimal filtering and information compression.                                       - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve  transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Computational Methods for Modeling of Nonlinear Systems, Volume 49 (Mathematics in Science and Engineering)

Computational Methods for Modeling of Nonlinear Systems, Volume 1 (Mathematics in Science and Engineering)

Computational Methods for Modeling of Nonlinear Systems, Volume 3 (Mathematics in Science and Engineering)

Computational Methods for Modeling of Nonlinear Systems (Mathematics in Science and Engineering)

Computational Methods for Modeling of Nonlinear Systems, Volume 14 (Mathematics in Science and Engineering)

Numerical Solution of Ordinary Differential Equations, Vol. 74 (Mathematics in Science and Engineering)

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