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Differential Forms with Applications to the Physical Sciences by Harley Flanders
出版
Elsevier
, 1963-01-01
主題
Mathematics / Algebra / Linear
Technology & Engineering / Mechanical
Mathematics / Mathematical Analysis
Mathematics / Algebra / General
Mathematics / Calculus
Technology & Engineering / General
Mathematics / Numerical Analysis
ISBN
0080955185
9780080955186
URL
http://books.google.com.hk/books?id=ODFvqCjwAZUC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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