Get started
Keyword

Lanczos method

Description: The Lanczos method is an iterative numerical technique for reducing matrices and estimating eigenvalues, widely used in scientific computing.
Wikidata ID: wiki/Q366640
OpenAlex ID: keywords/lanczos-algorithm
Introduction to Numerical Analysis.
1981 · Carl-Erik Froberg, J. Stoer, et al. · Mathematics of Computation · 5,463
The Symmetric Eigenvalue Problem
1998 · Beresford N. Parlett · Society for Industrial and Applied Mathematics eBooks · 3,193
Solution of Sparse Indefinite Systems of Linear Equations
1975 · C. C. Paige, M. A. Saunders · SIAM Journal on Numerical Analysis · 1,620
Efficient linear circuit analysis by Pade approximation via the Lanczos process
1995 · P. Feldmann, R.W. Freund · IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems · 1,352
Lanczos Algorithms for Large Symmetric Eigenvalue Computations
2002 · Jane K. Cullum, Ralph A. Willoughby · Society for Industrial and Applied Mathematics eBooks · 1,292
New spectral methods for ratio cut partitioning and clustering
1992 · L. Hagen, A.B. Kahng · IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems · 1,292
Parameter-free calculations of X-ray spectra with FEFF9
2010 · John J. Rehr, Joshua J. Kas, et al. · Physical Chemistry Chemical Physics · 1,221
Efficient methods for finding transition states in chemical reactions: Comparison of improved dimer method and partitioned rational function optimization method
2005 · Andreas Heyden, Alexis T. Bell, et al. · The Journal of Chemical Physics · 1,038
SLEPc
2005 · Vicente Hernandez, Jose E. Roman, et al. · ACM Transactions on Mathematical Software · 1,035
A comparison of different propagation schemes for the time dependent Schrödinger equation
1991 · C Leforestier, R.H Bisseling, et al. · Journal of Computational Physics · 971
Digital video processing
1996 · G. Uytterhoeven · Journal of Computational and Applied Mathematics · 874
PDF
On Krylov Subspace Approximations to the Matrix Exponential Operator
1997 · Marlis Hochbruck, Christian Lubich · SIAM Journal on Numerical Analysis · 792
Expokit
1998 · Roger B. Sidje · ACM Transactions on Mathematical Software · 783
PDF
The Singular-Vector Structure of the Atmospheric Global Circulation
1995 · R. Buizza, T. N. Palmer · Journal of the Atmospheric Sciences · 650
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
2002 · Zhaojun Bai · Applied Numerical Mathematics · 634
Comparison of methods for finding saddle points without knowledge of the final states
2004 · R. A. Olsen, G. J. Kroes, et al. · The Journal of Chemical Physics · 552
Parallel calculation of electron multiple scattering using Lanczos algorithms
2002 · A. L. Ankudinov, C. E. Bouldin, et al. · Physical review. B, Condensed matter · 498
Reconstruction of incomplete oceanographic data sets using empirical orthogonal functions: application to the Adriatic Sea surface temperature
2004 · A. Alvera-Azcárate, A. Barth, et al. · Ocean Modelling · 418
Computational Variants of the Lanczos Method for the Eigenproblem
1972 · C. C. PAIGE · IMA Journal of Applied Mathematics · 409
Large-Scale Sparse Singular Value Computations
1992 · Michael W. Berry · The International Journal of High Performance Computing Applications · 404
The Lanczos Algorithm with Selective Orthogonalization
1979 · B. N. Parlett, D. S. Scott · Mathematics of Computation · 403
PDF
Matrix algorithms
1998 · G. W. Stewart · 383
A general discrete variable method to calculate vibrational energy levels of three- and four-atom molecules
1993 · Matthew J. Bramley, Tucker Carrington · The Journal of Chemical Physics · 383
Generalized Lanczos algorithm for variational quantum Monte Carlo
2001 · Sandro Sorella · Physical review. B, Condensed matter · 369
PDF
The spectral transformation Lánczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems
1980 · Thomas Ericsson, Axel Ruhe · Mathematics of Computation · 354
Works count: 2,829
Citation count: 69,860
Year
Topic
Type