Bounds for Eigenvalues and the Method of Intermediate Problems PDF Download
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Author: A. Weinstein
Publisher:
ISBN:
Category : Eigenvalues
Languages : en
Pages : 36
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Book Description
Author: A. Weinstein
Publisher:
ISBN:
Category : Eigenvalues
Languages : en
Pages : 36
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Book Description
Author: A. Weinstein
Publisher: Elsevier
ISBN: 0080955983
Category : Mathematics
Languages : en
Pages : 250
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Book 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 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
Author: S. H. Gould
Publisher: University of Toronto Press
ISBN: 1487597711
Category : Education
Languages : en
Pages : 292
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Book Description
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.
Author: Norman W. Brazley
Publisher:
ISBN:
Category :
Languages : en
Pages : 24
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Book Description
The paper gives two new procedures for determining lower bounds to eigenvalues of semi-bounded self-adjoint operators. These procedures, while phrased in the language of Hilbert space, result in useful computational methods for the estimation of eigenvalues and eigenvectors of differential operators occurring in classical and quantum mechanics. Our procedures are based on the method of intermediate problems.
Author: NORMAN W. BAZLEY
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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Book Description
Two new procedures are presented for determining lower bounds to eigenvalues of semi-bounded selfadjoint operators. The procedures are based on the method of intermediate problems. While phrased in the language of Hilbert space, the procedures result in useful computational methods for the estimation of eigenvalues and eigenvectors of differential operators in classical and quantum mechanics. (Author).
Author: Richard Edward Dame
Publisher:
ISBN:
Category : Calculus of variations
Languages : en
Pages : 130
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Book Description
A variational method was developed to obtain lower bounds for eigenvalues, eigenfunctions and general solutions to problems which have complicated boundary conditions or regional shapes. By using an intermediate-problem approach, field functions were expanded in a infinite Fourier type expansion in a Hilbert space of eigenfunctions of a conveniently related problem. Final solutions are developed by projecting the field function into a subspace which is orthogonal to a given infinite dimensional subspace of constraints. The purpose of the study is to develop a new method which could generate the difficult eigenfunctions and boundary-value problem solutions, since previous investigators have universally limited their developments of the intermediate problem method to eigenvalue determinations. The results of this study, therefore, show that solutions of difficult problems which were not accessible through other means can now be generated efficiently. (Author).
Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 544
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Book Description
Author: ALBRECHT
Publisher: Birkhäuser
ISBN: 3034863322
Category : Science
Languages : en
Pages : 248
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Book Description
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 44
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Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Washington (D.C.)
Languages : en
Pages : 450
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Book Description
