Theory of Difference Equations Numerical Methods and Applications by V Lakshmikantham and d Trigiante |
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| Editor:
| Lakshmikantham,
Trigiante, D. |
| Series title: | Mathematics in Science and Engineering Ser. |
| ISBN: | 978-0-12-434100-5 |
| Publication Date: | May 1988 |
| Publisher: | Elsevier Science & Technology
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| Book Format: | Hardback |
| List Price: | USD $175.00 |
Book Description:
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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...
More DescriptionIn 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.