A Filtered Lanczos Procedure for Extreme and Interior Eigenvalue Problems
From MaRDI portal
Publication:3165425
DOI10.1137/110836535zbMath1253.65053OpenAlexW2055373329MaRDI QIDQ3165425
Publication date: 26 October 2012
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/110836535
numerical experimentsLanczos algorithmpolynomial filteringlarge sparse matricesinterior eigenvaluespartial reorthogonalizationreal symmetricKrylov projection methodscomplex Hermitian
Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonalization in numerical linear algebra (65F25)
Related Items
On global convergence of subspace projection methods for Hermitian eigenvalue problems, A new technique for determining coupled modes of structure-acoustic systems, A non-perturbative approach to computing seismic normal modes in rotating planets, Preconditioned Locally Harmonic Residual Method for Computing Interior Eigenpairs of Certain Classes of Hermitian Matrices, Relationships among contour integral-based methods for solving generalized eigenvalue problems, A fast continuous method for the extreme eigenvalue problem, Fast Computation of Spectral Densities for Generalized Eigenvalue Problems, Dual vibration configuration interaction (DVCI). An efficient factorization of molecular Hamiltonian for high performance infrared spectrum computation, On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems, On the structured backward error of inexact Arnoldi methods for (skew)-Hermitian and (skew)-symmetric eigenvalue problems, Massively parallel sparse matrix function calculations with NTPoly, Complex moment-based eigensolver coupled with two Krylov subspaces, A Robust Multilevel Approximate Inverse Preconditioner for Symmetric Positive Definite Matrices, A Filtered-Davidson Method for Large Symmetric Eigenvalue Problems, On Chebyshev-Davidson method for symmetric generalized eigenvalue problems, Cucheb: a GPU implementation of the filtered Lanczos procedure, Solving large-scale interior eigenvalue problems to investigate the vibrational properties of the boson peak regime in amorphous materials, Evaluating non-analytic functions of matrices, Randomized estimation of spectral densities of large matrices made accurate, The nonequilibrium quantum many-body problem as a paradigm for extreme data science, On relaxed filtered Krylov subspace method for non-symmetric eigenvalue problems, Projection Method for Eigenvalue Problems of Linear Nonsquare Matrix Pencils, A Thick-Restart Lanczos Algorithm with Polynomial Filtering for Hermitian Eigenvalue Problems, Computing Partial Spectra with Least-Squares Rational Filters, The Eigenvalues Slicing Library (EVSL): Algorithms, Implementation, and Software, A harmonic FEAST algorithm for non-Hermitian generalized eigenvalue problems, An Efficient Gauss--Newton Algorithm for Symmetric Low-Rank Product Matrix Approximations, Stable Computation of Generalized Matrix Functions via Polynomial Interpolation, A contour-integral based method with Schur-Rayleigh-Ritz procedure for generalized eigenvalue problems, Filtered Krylov-like sequence method for symmetric eigenvalue problems, A generalization of Saad's bound on harmonic Ritz vectors of Hermitian matrices
Uses Software