Methods of Intermediate Problems for Eigenvalues: Theory and Ramifications (Volume 89) (Mathematics in Science and Engineering, Volume 89) - Hardcover

 
9780127424507: Methods of Intermediate Problems for Eigenvalues: Theory and Ramifications (Volume 89) (Mathematics in Science and Engineering, Volume 89)
Hardcover
ISBN 10: 0127424504 ISBN 13: 9780127424507
Publisher: Elsevier Science, 1972

Synopsis

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

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Elsevier Science
Publication date
1972
Language
English
ISBN 10 
0127424504
ISBN 13 
9780127424507
Binding
Hardcover
Edition number
1
Number of pages
322
Editor
Weinstein A., Stenger W.