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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
ARPACKArnoldi iterationBidiagonalizationBlock Lanczos algorithm

Broader (1)

Numerical linear algebra

Papers overview

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2009
2009
Single and double ionization of He by slow antiproton impact
The collision of antiprotons with helium atoms is a fundamental process in many-body atomic physics which long has attracted… 
2005
2005
On the convergence rate of the conjugate gradients in presence of rounding errors *
among which Axelsson [2], Andersson [1], Jennings [8] and Axelsson and Lindskog [4], where explicit bounds on the number of… 
2000
2000
The Lanczos method with semi-inner product
The spectral transformation Lanczos method is very popular for solving large scale Her-mitian generalized eigenvalue problems… 
1999
1999
The Nonsymmetric Lanczos Algorithm May 1990 and Controllability
We give a brief description of a non-symmetric Lanczos algorithm that does not require strict bi-orthogonality among the… 
1998
1998
RESONANCE AFFECTED SCATTERING: COMPARISON OF TWO HYBRID METHODS INVOLVING FILTER DIAGONALIZATION AND THE LANCZOS METHOD
We apply two hybrid methods for solving scattering problems affected by resonances, to a four-dimensional reactive surface… 
1997
1997
Empirical potential energy surface for Ar⋅SH/D and Kr⋅SH/D
Experimental data from vibrationally and rotationally resolved laser induced fluorescence experiments have been used to produce… 
1996
1996
A Parallel Version of the Unsymmetric Lanczos Algorithm and its Application to QMR
A new version of the unsymmetric Lanczos algorithm without l ok-ahead is described combining elements of numerical stability and… 
1993
1993
Semi-duality in the two-sided lanczos algorithm
Lanczos vectors computed in finite precision arithmetic by the three-term recurrence tend to lose their mutual biorthogonality… 
1983
1983
The generalized eigenvalue problem in shipdesign and offshore industry — a comparison of traditional methods with the lanczos process
The solution of generalized eigenvalue problems based on finite element models of ships and offshore structures like North Sea… 
1972
1972
The Lanczos algorithm for the symmetric Ax = $\lambda$Bx problem.
The problem of computing the eigensystem of Ax = $\lambda$Bx when A and B are symmetric and B is positive definite is considered…