Variational Methods For Eigenvalue Problems

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Variational Methods For Eigenvalue Problems
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Author : S. H. Gould
language : en
Publisher: University of Toronto Press
Release Date : 1966-12-15
Variational Methods For Eigenvalue Problems written by S. H. Gould and has been published by University of Toronto Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966-12-15 with Education categories.
The first edition of this book gave a systematic exposition of the Weinstein method of calculating lower bounds of eigenvalues by means of intermediate problems. From the reviews of this edition and from subsequent shorter expositions it has become clear that the method is of considerable interest to the mathematical world; this interest has increased greatly in recent years by the success of some mathematicians in simplifying and extending the numerical applications, particularly in quantum mechanics. Until now new developments have been available only in articles scattered throughout the literature: this second edition presents them systematically in the framework of the material contained in the first edition, which is retained in somewhat modified form.
Variational Methods For Eigenvalue Problems
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Author : S. H. Gould
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24
Variational Methods For Eigenvalue Problems written by S. H. Gould and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-24 with Science categories.
Purely mathematical treatment offers simple exposition of general theory of variational methods with special reference to the vibrating plate. No math beyond basic calculus. Includes exercises. 1957 edition.
Variational Methods For Eigenvalue Approximation
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Author : H. F. Weinberger
language : en
Publisher: SIAM
Release Date : 1974-01-01
Variational Methods For Eigenvalue Approximation written by H. F. Weinberger and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Mathematics categories.
Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.
Variational Methods For Eigenvalue Problems
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Author : H. F. Weinberger
language : en
Publisher:
Release Date : 1979
Variational Methods For Eigenvalue Problems written by H. F. Weinberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Eigenvalues categories.
Variational Methods For Eigenvalue Problems
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Author : Sydney Henry Gould
language : en
Publisher:
Release Date : 1966
Variational Methods For Eigenvalue Problems written by Sydney Henry Gould and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Variational Methods For Eigenvalue Problems
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Author : Sydney H. Gould
language : en
Publisher:
Release Date : 1971
Variational Methods For Eigenvalue Problems written by Sydney H. Gould and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Finite Element Methods For Eigenvalue Problems
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Author : Jiguang Sun
language : en
Publisher: CRC Press
Release Date : 2016-08-19
Finite Element Methods For Eigenvalue Problems written by Jiguang Sun and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Mathematics categories.
This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.
Variational Methods For Eigenvalue Problems
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Author : S. H. Gould
language : en
Publisher:
Release Date : 1957
Variational Methods For Eigenvalue Problems written by S. H. Gould and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Methods Of Intermediate Problems For Eigenvalues Theory And Ramifications
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Author : A. Weinstein
language : en
Publisher: Elsevier
Release Date : 1972-06-23
Methods Of Intermediate Problems For Eigenvalues Theory And Ramifications written by A. Weinstein and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-06-23 with Mathematics categories.
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
Templates For The Solution Of Algebraic Eigenvalue Problems
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Author : Zhaojun Bai
language : en
Publisher: SIAM
Release Date : 2000-01-01
Templates For The Solution Of Algebraic Eigenvalue Problems written by Zhaojun Bai and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Computers categories.
Large-scale problems of engineering and scientific computing often require solutions of eigenvalue and related problems. This book gives a unified overview of theory, algorithms, and practical software for eigenvalue problems. It organizes this large body of material to make it accessible for the first time to the many nonexpert users who need to choose the best state-of-the-art algorithms and software for their problems. Using an informal decision tree, just enough theory is introduced to identify the relevant mathematical structure that determines the best algorithm for each problem.