Book
Formulations of classical and quantum dynamical theory
1969
Abstract
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
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Details
- Title
- Formulations of classical and quantum dynamical theory
- Creators
- Gerald H Rosen - Drexel University, Physics
- Series
- Mathematics in science and engineering
- Publisher
- Academic Press; New York
- Edition
- 1st edition
- Number of pages
- xii, 151
- Resource Type
- Book
- Language
- English
- Academic Unit
- Physics
- Identifiers
- 9780125969505; 0125969503; 008095569X; 9780080955698; 991022040072704721