Functional analysis in modern applied mathematics [E-Book] / Ruth F. Curtain, A.J. Pritchard.
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-Lagrang...
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Personal Name(s): | Curtain, Ruth F. |
Pritchard, A. J. | |
Imprint: |
London ; New York :
Academic Press,
1977
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Physical Description: |
1 online resource (ix, 339 p.) : ill. |
Note: |
englisch |
ISBN: |
9780080956411 0080956416 |
Series Title: |
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Mathematics in science and engineering ;
v. 132 |
Subject (LOC): |
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;<BR id="CRLF">methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and<BR id="CRLF">methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.<BR id="CRLF"><BR id="CRLF">As a result, the book represents a blend of new methods in general computational analysis, <BR id="CRLF">and specific, but also generic, techniques for study of systems theory ant its particular<BR id="CRLF">branches, such as optimal filtering and information compression. |