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Random integral equations with applications to life sciences and engineering
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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 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 less
Elsevier Science; August 1974
289 pages; ISBN 9780080956176
Read online, or download in secure PDF format
289 pages; ISBN 9780080956176
Read online, or download in secure PDF format
Subject categories
- Academic > Mathematics > Probabilities. Mathematical statistics > Stochastic processes
- Academic > Mathematics > Probabilities. Mathematical statistics > Stochastic analysis
- Academic > Mathematics > Probabilities. Mathematical statistics > Stochastic integral equations
- Academic > Mathematics > General
- Technology > Engineering > Mechanical
- Mathematics > Algebra
- Mathematics > Calculus
ISBNs
0080956173
9780080956176
9780127021508