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Lanczos algorithm
Known as:
Block Lanczos
, Lanczos iteration
, Lanczos method
The Lanczos algorithm is a direct algorithm devised by Cornelius Lanczos that is an adaptation of power methods to find the most useful eigenvalues…
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Related topics
Related topics
27 relations
ARPACK
Arnoldi iteration
Bidiagonalization
Block Lanczos algorithm
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Broader (1)
Numerical linear algebra
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Evidence of co-flow superfluid and counter-flow superfluid from directional current-current correlation functions of two-species hard-core bosons in one dimension
Ji-Woo Lee
,
Min-Chul Cha
2017
Corpus ID: 126190774
We study a model for two-species hard-core bosons in one dimension. In this model, the same-species bosons have hard-core…
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2000
2000
The Lanczos method with semi-inner product
K. Meerbergen
2000
Corpus ID: 17143671
The spectral transformation Lanczos method is very popular for solving large scale Her-mitian generalized eigenvalue problems…
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1998
1998
RESONANCE AFFECTED SCATTERING: COMPARISON OF TWO HYBRID METHODS INVOLVING FILTER DIAGONALIZATION AND THE LANCZOS METHOD
D. McCormack
,
G. Kroes
,
D. Neuhauser
1998
Corpus ID: 32070542
We apply two hybrid methods for solving scattering problems affected by resonances, to a four-dimensional reactive surface…
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1997
1997
Empirical potential energy surface for Ar⋅SH/D and Kr⋅SH/D
P. Korambath
,
Xudong Wu
,
E. F. Hayes
,
C. Carter
,
T. Miller
1997
Corpus ID: 5710912
Experimental data from vibrationally and rotationally resolved laser induced fluorescence experiments have been used to produce…
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1996
1996
A Parallel Version of the Unsymmetric Lanczos Algorithm and its Application to QMR
H. M. Bücker
,
M. Sauren
1996
Corpus ID: 14402254
A new version of the unsymmetric Lanczos algorithm without l ok-ahead is described combining elements of numerical stability and…
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1993
1993
Semi-duality in the two-sided lanczos algorithm
D. Day
,
B. Parlett
1993
Corpus ID: 15513957
Lanczos vectors computed in finite precision arithmetic by the three-term recurrence tend to lose their mutual biorthogonality…
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1987
1987
Experiences with the Lanczos method on a parallel computer
S. Bostic
,
R. Fulton
1987
Corpus ID: 59677215
A parallel computer implementation of the Lanczos method for the free-vibration analysis of structures is considered, and results…
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1983
1983
The generalized eigenvalue problem in shipdesign and offshore industry — a comparison of traditional methods with the lanczos process
Liv Aasland
,
P. Bjørstad
1983
Corpus ID: 117645201
The solution of generalized eigenvalue problems based on finite element models of ships and offshore structures like North Sea…
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Review
1980
Review
1980
Lanczos algorithm for symmetric eigenvalue problems
D. Scott
1980
Corpus ID: 123976488
The Lanczos algorithm was originally used to tridiagonalize symmetric matrices, but it was soon replaced by more effective…
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1972
1972
The Lanczos algorithm for the symmetric Ax = $\lambda$Bx problem.
G. Golub
,
Richard R. Underwood
,
J. H. Wilkinson
1972
Corpus ID: 117189432
The problem of computing the eigensystem of Ax = $\lambda$Bx when A and B are symmetric and B is positive definite is considered…
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