The Use Of Lanczos S Method To Solve The Large Generalized Symmetric Definite Eigenvalue Problem
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The Use Of Lanczos S Method To Solve The Large Generalized Symmetric Definite Eigenvalue Problem
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-17
The Use Of Lanczos S Method To Solve The Large Generalized Symmetric Definite Eigenvalue Problem written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-17 with categories.
The generalized eigenvalue problem, Kx = Lambda Mx, is of significant practical importance, especially in structural enginering where it arises as the vibration and buckling problem. A new algorithm, LANZ, based on Lanczos's method is developed. LANZ uses a technique called dynamic shifting to improve the efficiency and reliability of the Lanczos algorithm. A new algorithm for solving the tridiagonal matrices that arise when using Lanczos's method is described. A modification of Parlett and Scott's selective orthogonalization algorithm is proposed. Results from an implementation of LANZ on a Convex C-220 show it to be superior to a subspace iteration code. Jones, Mark T. and Patrick, Merrell L. Unspecified Center...
The Use Of Lanczos S Method To Solve The Large Generalized Symmetric Definite Eigenvalue Problem
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-11-06
The Use Of Lanczos S Method To Solve The Large Generalized Symmetric Definite Eigenvalue Problem written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-06 with Science categories.
The generalized eigenvalue problem, Kx = Lambda Mx, is of significant practical importance, especially in structural enginering where it arises as the vibration and buckling problem. A new algorithm, LANZ, based on Lanczos's method is developed. LANZ uses a technique called dynamic shifting to improve the efficiency and reliability of the Lanczos algorithm. A new algorithm for solving the tridiagonal matrices that arise when using Lanczos's method is described. A modification of Parlett and Scott's selective orthogonalization algorithm is proposed. Results from an implementation of LANZ on a Convex C-220 show it to be superior to a subspace iteration code. Jones, Mark T. and Patrick, Merrell L. Unspecified Center...
The Use Of Lanczos S Method To Solve The Large Generalized Symmetric Definite Eigenvalue Problem
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Author : Institute for Computer Applications in Science and Engineering
language : en
Publisher:
Release Date : 1989
The Use Of Lanczos S Method To Solve The Large Generalized Symmetric Definite Eigenvalue Problem written by Institute for Computer Applications in Science and Engineering and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
The generalized eigenvalue problem, Kx = lambda Mx, is of significant practical importance, especially in structural engineering where it arises as the vibration and buckling problems. A new algorithm, LANZ, based on Lanczos's method is developed. LANZ uses a technique called dynamic shifting to improve the efficiency and reliability of the Lanczos algorithm. A new algorithm for solving the tridiagonal matrices that arise when using Lanczos's method is described. A modification of Parlett and Scott's selective orthogonalization algorithm is proposed. Results from an implementation of LANZ on a Convex C-220 show it to be superior to a subspace iteration code. (KR).
The Use Of Lanczo S Method To Solve The Large Generalized Symmetric Eigenvalue Problem In Parallel
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Author : Institute for Computer Applications in Science and Engineering
language : en
Publisher:
Release Date : 1990
The Use Of Lanczo S Method To Solve The Large Generalized Symmetric Eigenvalue Problem In Parallel written by Institute for Computer Applications in Science and Engineering and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
The generalized eigenvalue problem, Kx=LamdaMx, is of significant practical importance, especially in structural engineering where it arises as the vibration and buckling problems. New software, LANZ, based on Lanczo's method has been developed for solving these problems and uns on SUN 3, SUN 4, Convex C-220, Cray 2, and Cray Y-MP systems. Preliminary results of using the Force to obtain a multiprocessor implementation of LANZ on MIMD parallel/vector systems are reported here. A parallel execution time model of LANZ is defined and used to predict the performance of LANZ as well as examine hypothetical modifications to LANZ. The results of using dynamic shifting to improve parallelism are presented. Finally, the results of assigning a group of processors to separate shifts and finding all the desired eigenvalues using LANZ in parallel are reported. Keywords: Eigenvalues; Parallel orientation; Mathematical methods; Computer software; Computer systems. (cp).
Proceedings Of The Fifth Siam Conference On Applied Linear Algebra
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Author : John Gregg Lewis
language : en
Publisher: SIAM
Release Date : 1994-01-01
Proceedings Of The Fifth Siam Conference On Applied Linear Algebra written by John Gregg Lewis and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
Lanczos Algorithms For Large Symmetric Eigenvalue Computations
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Author : Jane K. Cullum
language : en
Publisher: SIAM
Release Date : 2002-09-01
Lanczos Algorithms For Large Symmetric Eigenvalue Computations written by Jane K. Cullum and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-01 with Mathematics categories.
First published in 1985, this book presents background material, descriptions, and supporting theory relating to practical numerical algorithms for the solution of huge eigenvalue problems. This book deals with 'symmetric' problems. However, in this book, 'symmetric' also encompasses numerical procedures for computing singular values and vectors of real rectangular matrices and numerical procedures for computing eigenelements of nondefective complex symmetric matrices. Although preserving orthogonality has been the golden rule in linear algebra, most of the algorithms in this book conform to that rule only locally, resulting in markedly reduced memory requirements. Additionally, most of the algorithms discussed separate the eigenvalue (singular value) computations from the corresponding eigenvector (singular vector) computations. This separation prevents losses in accuracy that can occur in methods which, in order to be able to compute further into the spectrum, use successive implicit deflation by computed eigenvector or singular vector approximations.
Numerical Methods For Large Eigenvalue Problems
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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2011-05-26
Numerical Methods For Large Eigenvalue Problems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Mathematics categories.
This revised edition discusses numerical methods for computing the eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method and automatic multilevel substructuring.
Large Scale Eigenvalue Problems
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Author : J. Cullum
language : en
Publisher: Elsevier
Release Date : 1986-01-01
Large Scale Eigenvalue Problems written by J. Cullum and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Mathematics categories.
Results of research into large scale eigenvalue problems are presented in this volume. The papers fall into four principal categories:novel algorithms for solving large eigenvalue problems, novel computer architectures, computationally-relevant theoretical analyses, and problems where large scale eigenelement computations have provided new insight.
Lanczos Eigensolution Method For High Performance Computers
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Author :
language : en
Publisher:
Release Date : 1991
Lanczos Eigensolution Method For High Performance Computers written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1995
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.