Computational Methods for Modeling of Nonlinear Systems by Anatoli Torokhti and Phil Howlett
Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Technology, Engineering, Mechanical
| Author: | Anatoli Torokhti, Phil Howlett | ISBN: | 9780080475387 |
| Publisher: | Elsevier Science | Publication: | April 11, 2007 |
| Imprint: | Elsevier Science | Language: | English |
| Author: | Anatoli Torokhti, Phil Howlett |
| ISBN: | 9780080475387 |
| Publisher: | Elsevier Science |
| Publication: | April 11, 2007 |
| Imprint: | Elsevier Science |
| Language: | English |
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
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
