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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

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Block subspace projection preconditioned conjugate gradient method for structural modal analysis
The method for extracting natural vibration frequencies and modes of design models arising when the finite element method is… 
2001
2001
Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem
Applications such as the modal analysis of structures and acoustic cavities require a number of eigenvalues and eigenvectors of… 
2000
2000
A symmetry exploiting Lanczos method for symmetric Toeplitz matrices
Several methods for computing the smallest eigenvalues of a symmetric and positive definite Toeplitz matrix T have been studied… 
1999
1999
B-355 a Note on the Calculation of Step-lengths in Interior-point Methods for Semideenite Programming
In each iteration of an interior-point method for semideenite programming, the maximum step-length that can be taken by 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… 
Highly Cited
1992
Highly Cited
1992
Helmholtz beam propagation in rib waveguides and couplers by iterative Lanczos reduction
The solution of the Helmholtz equation requires the application of an exponentiated square root operator to an initial field… 
1986
1986
On the optimal solution of large eigenpair problems
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… 
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