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Methods of intermediate problems for eigenvalues
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...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
Academic Press
1972
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Materias: | |
Acceso en línea: | http://cds.cern.ch/record/268338 |
_version_ | 1780886856240463872 |
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author | Weinstein, Alexander Stenger, William |
author_facet | Weinstein, Alexander Stenger, William |
author_sort | Weinstein, Alexander |
collection | CERN |
description | 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 mat |
id | cern-268338 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1972 |
publisher | Academic Press |
record_format | invenio |
spelling | cern-2683382021-04-22T03:48:51Zhttp://cds.cern.ch/record/268338engWeinstein, AlexanderStenger, WilliamMethods of intermediate problems for eigenvaluesMathematical Physics and MathematicsIn 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 matIn 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.Academic Pressoai:cds.cern.ch:2683381972 |
spellingShingle | Mathematical Physics and Mathematics Weinstein, Alexander Stenger, William Methods of intermediate problems for eigenvalues |
title | Methods of intermediate problems for eigenvalues |
title_full | Methods of intermediate problems for eigenvalues |
title_fullStr | Methods of intermediate problems for eigenvalues |
title_full_unstemmed | Methods of intermediate problems for eigenvalues |
title_short | Methods of intermediate problems for eigenvalues |
title_sort | methods of intermediate problems for eigenvalues |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/268338 |
work_keys_str_mv | AT weinsteinalexander methodsofintermediateproblemsforeigenvalues AT stengerwilliam methodsofintermediateproblemsforeigenvalues |