An introduction to group representation theory /
Collection : Mathematics in science and engineering ; . v. 116 Détails physiques : 1 online resource (xi, 331 pages) : diagrs. ISBN :9780124042506; 0124042503; 9780080956251 (electronic bk.); 0080956254 (electronic bk.).Groups and modules -- Representation theory of finite groups -- Computation of representations and characters of finite groups -- Representation theory of several special groups.
Includes bibliographical references (p. 319-320) and index.
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.
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