The Lanczos Method
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The Lanczos Method
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Author : Louis Komzsik
language : en
Publisher: SIAM
Release Date : 2003-01-01
The Lanczos Method written by Louis Komzsik and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.
A valuable reference on the Lanczos method for graduate numerical analysts and engineers.
The Lanczos Method With Semi Inner Product
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Author : K. Meerbergen
language : en
Publisher:
Release Date : 2000
The Lanczos Method With Semi Inner Product written by K. Meerbergen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
On The Lanczos Method For Solving Symmetric Linear Systems With Several Right Hand Sides
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Author : Y. Saad
language : en
Publisher:
Release Date : 1985
On The Lanczos Method For Solving Symmetric Linear Systems With Several Right Hand Sides written by Y. Saad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Algorithms categories.
This paper analyses two methods based on the Lanczos algorithm for solving large sparse symmetric linear systems with several right hand sides. The methods examined are suitable for the case where the right sides are not too different from one another as is often the case in time dependent or parameter dependent problems. We will show in particular that a modified Lanczos algorithm, introduced by Parlett is in some sense equivalent to the block Lanczos algorithm. (Author).
The Lanczos And Conjugate Gradient Algorithms
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Author : Gerard Meurant
language : en
Publisher: SIAM
Release Date : 2006-01-01
The Lanczos And Conjugate Gradient Algorithms written by Gerard Meurant and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Computers categories.
The Lanczos and conjugate gradient (CG) algorithms are fascinating numerical algorithms. This book presents the most comprehensive discussion to date of the use of these methods for computing eigenvalues and solving linear systems in both exact and floating point arithmetic. The author synthesizes the research done over the past 30 years, describing and explaining the "average" behavior of these methods and providing new insight into their properties in finite precision. Many examples are given that show significant results obtained by researchers in the field. The author emphasizes how both algorithms can be used efficiently in finite precision arithmetic, regardless of the growth of rounding errors that occurs. He details the mathematical properties of both algorithms and demonstrates how the CG algorithm is derived from the Lanczos algorithm. Loss of orthogonality involved with using the Lanczos algorithm, ways to improve the maximum attainable accuracy of CG computations, and what modifications need to be made when the CG method is used with a preconditioner are addressed.
The Lanczos Method In Lattice Gauge Theories
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Author :
language : de
Publisher:
Release Date : 1984
The Lanczos Method In Lattice Gauge Theories written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Parallel Efficiency Of The Lanczos Method For Eigenvalue Problems
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Author :
language : en
Publisher:
Release Date : 1998
Parallel Efficiency Of The Lanczos Method For Eigenvalue Problems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
The Lanczos Method And Linear Equations
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Author : August W. Geise
language : en
Publisher:
Release Date : 1979
The Lanczos Method And Linear Equations written by August W. Geise and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Algorithms categories.
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 Lanczos Method In Lattice Gauge Theories
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Author : Ian M. Barbour
language : en
Publisher:
Release Date : 1984
The Lanczos Method In Lattice Gauge Theories written by Ian M. Barbour and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
A Review Of The Lanczos Method Applied To Generalised Non Symmetric Eigenproblems
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Author : S. Slade
language : en
Publisher:
Release Date : 1986
A Review Of The Lanczos Method Applied To Generalised Non Symmetric Eigenproblems written by S. Slade and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.