Keyword

eigenvalue computation

Description: Numerical or distributed methods for calculating eigenvalues of matrices and linear operators in applied mathematics and engineering.

Primary topic: Matrix Theory and Algorithms (51%)

OpenAlex ID: keywords/eigenvalue-computation

Solution of the Schrödinger equation by a spectral method

1982 · M.D Feit, J.A Fleck, et al. · Journal of Computational Physics · 3,366

Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media

1988 · Knut Stamnes, S-Chee Tsay, et al. · Applied Optics · 3,350

The Symmetric Eigenvalue Problem

1998 · Beresford N. Parlett · Society for Industrial and Applied Mathematics eBooks · 3,193

Approximation of Large-Scale Dynamical Systems

2005 · Athanasios C. Antoulas · Society for Industrial and Applied Mathematics eBooks · 3,054

The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and Methods

1928 · D. R. Hartree · Mathematical Proceedings of the Cambridge Philosophical Society · 1,742

The Symmetric Eigenvalue Problem.

1981 · James H. Wilkinson, Beresford N. Parlett · Mathematics of Computation · 1,186

OpenMC: A state-of-the-art Monte Carlo code for research and development

2014 · Paul K. Romano, Nicholas E. Horelik, et al. · Annals of Nuclear Energy · 1,147

Semi-Infinite Programming: Theory, Methods, and Applications

1993 · R. Hettich, K. O. Kortanek · SIAM Review · 1,015

Voltage stability evaluation using modal analysis

1992 · B. Gao, G.K. Morison, et al. · IEEE Transactions on Power Systems · 1,013

Laplace–Beltrami spectra as ‘Shape-DNA’ of surfaces and solids

2006 · Martin Reuter, Franz-Erich Wolter, et al. · Computer-Aided Design · 780

The QR Transformation A Unitary Analogue to the LR Transformation--Part 1

1961 · J. G. F. Francis · The Computer Journal · 688

Deflation Techniques for an Implicitly Restarted Arnoldi Iteration

1996 · R. B. Lehoucq, D. C. Sorensen · SIAM Journal on Matrix Analysis and Applications · 618

Matrix Eigensystem Routines--EISPACK Guide

1976 · T. J. Aird, B. T. Smith, et al. · Mathematics of Computation · 614

Comparison of initial value and eigenvalue codes for kinetic toroidal plasma instabilities

1995 · Mike Kotschenreuther, G. Rewoldt, et al. · Computer Physics Communications · 562

Estimating the tensor of curvature of a surface from a polyhedral approximation

2002 · G. Taubin · IEEE International Conference on Computer Vision (ICCV) · 550

Fractional calculus in the transient analysis of viscoelastically damped structures

1985 · Ronald L. Bagley, Peter J. Torvik · AIAA Journal · 534

Matrix Eigensystem Routines — EISPACK Guide Extension

1977 · Burton S. Garbow, J. M. Boyle, et al. · Lecture notes in computer science · 509

Renormalization of Hamiltonians

1993 · Stanisław D. Głazek, Kenneth G. Wilson · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 494

The Symmetric Eigenvalue Problem

1981 · Beresford N. Partlett, S. H. Crandall · Journal of Applied Mechanics · 466

The block conjugate gradient algorithm and related methods

1980 · Dianne P. O'Leary · Linear Algebra and its Applications · 454

Matrix Eigensystem Routines — EISPACK Guide

1974 · Brian T. Smith, J. M. Boyle, et al. · Lecture notes in computer science · 449

Density-matrix-based algorithm for solving eigenvalue problems

2009 · Eric Polizzi · Physical Review B · 420

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On distributed Gaussian bases for simple model multidimensional vibrational problems

1986 · I. P. Hamilton, J. C. Light · The Journal of Chemical Physics · 407

A divide and conquer method for the symmetric tridiagonal eigenproblem

1980 · J. J. M. Cuppen · Numerische Mathematik · 399

Jacobi’s Method is More Accurate than QR

1992 · James Demmel, Krešimir Veselić · SIAM Journal on Matrix Analysis and Applications · 391

Works count: 6,045

Citation count: 84,360