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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...

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Detalles Bibliográficos
Autores principales: Weinstein, Alexander, Stenger, William
Lenguaje:eng
Publicado: Academic Press 1972
Materias:
Acceso en línea:http://cds.cern.ch/record/268338
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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
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1972
publisher Academic Press
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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