General Dynamic Processes. A Mathematical Introduction. Mathematics in Science and Engineering Volume 78
Windeknecht, Thomas G
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
General, Mathematical Analysis, Mechanical, Linear, Mathematics & Statistics -> Calculus -> Introductory Linear Algebra, Mathematics & Statistics -> Mathematics -> Mathematics General, Professional, Career & Trade -> Engineering -> Civil Engineering, Trades & Technology -> Industrial Technology -> Mechanical
Name in long format: | General Dynamic Processes. A Mathematical Introduction. Mathematics in Science and Engineering Volume 78 |
---|---|
ISBN-10: | 0127595503 |
ISBN-13: | 9780127595504 |
Book pages: | 322 |
Book language: | en |
Edition: | 80 |
Binding: | Hardcover |
Publisher: | Elsevier Science |
Dimensions: | Page Fidelity |