Skip to search formSkip to main contentSkip to account menu

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… 
Wikipedia (opens in a new tab)

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.
2010
2010
Numerical study of photoinduced dynamics in a double-exchange model
Photo-induced spin and charge dynamics in double-exchange model are numerically studied. The Lanczos method and the density… 
2007
2007
Preconditioned Newton methods for ill-posed problems
We consider preconditioned regularized Newton methods tailored to the efficient solution of nonlinear large-scale exponentially… 
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… 
1997
1997
DENSITY OF STATES OF ALTERNANT CYCLIC POLYENES (CH)N BY A DIRECT LANCZOS METHOD
A direct full configuration interaction approach, previously used for studying individual low-lying eigenvalues, is combined with… 
1997
1997
On some modifications of the Lanczos algorithm and the relation with Padé approximations
In this paper we try to show the relations between the Lanczos algorithm and Pad'e approximations as used e.g. in identification… 
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…