Implicit application of polynomial filters in a k-step Arnoldi method

An Arnoldi code for computing selected eigenvalues of sparse, real, unsymmetric matrices

ACM Transactions on Mathematical Software (TOMS)

C++ classes for linking optimization with complex simulations

ACM Transactions on Mathematical Software (TOMS)

A new Lanczos method for electronic structure calculations

SC '98 Proceedings of the 1998 ACM/IEEE conference on Supercomputing

A Branch and Bound Method via d.c. Optimization Algorithms andEllipsoidal Technique for Box Constrained Nonconvex Quadratic Problems

Journal of Global Optimization

The refined harmonic Arnoldi method and an implicitly restarted refined algorithm for computing interior eigenpairs of large matrices

Applied Numerical Mathematics

Solving large-scale constrained least-squares problems

Applied Mathematics and Computation

Algorithm 827: irbleigs: A MATLAB program for computing a few eigenpairs of a large sparse Hermitian matrix

ACM Transactions on Mathematical Software (TOMS)

References

Sourcebook of parallel computing

Krylov subspace methods for large-scale matrix problems in control

Future Generation Computer Systems - Selected papers on theoretical and computational aspects of structural dynamical systems in linear algebra and control

Computing smallest singular triplets with implicitly restarted Lanczos bidiagonalization

Applied Numerical Mathematics - Numerical algorithms, parallelism and applications

Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate

Journal of Computational Physics

Restarted block-GMRES with deflation of eigenvalues

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

A more reliable reduction algorithm for behavioral model extraction

ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design

On the computation of few eigenvalues of positive definite Hamiltonian matrices

Future Generation Computer Systems

Self-consistent-field calculations using Chebyshev-filtered subspace iteration

Journal of Computational Physics

A modified harmonic block Arnoldi algorithm with adaptive shifts for large interior eigenproblems

Journal of Computational and Applied Mathematics

The Approximation and Computation of a Basis of the Trace Space H1/2

Journal of Scientific Computing

Algorithm 873: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization

ACM Transactions on Mathematical Software (TOMS)

Numerical solutions of a master equation for protein folding kinetics

International Journal of Bioinformatics Research and Applications

Parallel solution of large-scale eigenvalue problem for master equation in protein folding dynamics

Journal of Parallel and Distributed Computing

Iteration methods for stability spectra of solitary waves

Journal of Computational Physics

State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems

Journal of Computational Physics

An invert-free Arnoldi method for computing interior eigenpairs of large matrices

International Journal of Computer Mathematics

Accelerating configuration interaction calculations for nuclear structure

Proceedings of the 2008 ACM/IEEE conference on Supercomputing

Distributed, large-scale latent semantic analysis by index interpolation

Proceedings of the 3rd international conference on Scalable information systems

Preconditioned Lanczos method for generalized Toeplitz eigenvalue problems

Journal of Computational and Applied Mathematics

Anasazi software for the numerical solution of large-scale eigenvalue problems

ACM Transactions on Mathematical Software (TOMS)

A new method for accelerating Arnoldi algorithms for large scale eigenproblems

Mathematics and Computers in Simulation

Restarted block-GMRES with deflation of eigenvalues

Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing

A preconditioned Krylov technique for global hydrodynamic stability analysis of large-scale compressible flows

Journal of Computational Physics

Numerical approximation of electromagnetic signals arising in the evaluation of geological formations

Computers & Mathematics with Applications

On the computation of few eigenvalues of positive definite Hamiltonian matrices

Future Generation Computer Systems

PRIMME: preconditioned iterative multimethod eigensolver—methods and software description

ACM Transactions on Mathematical Software (TOMS)

A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems

Journal of Computational and Applied Mathematics

Deflated block Krylov subspace methods for large scale eigenvalue problems

Journal of Computational and Applied Mathematics

An experimental evaluation of a Monte-Carlo algorithm for singular value decomposition

PCI'01 Proceedings of the 8th Panhellenic conference on Informatics

A symplectic lanczos-type algorithm to compute the eigenvalues of positive definite hamiltonian matrices

ICCS'03 Proceedings of the 2003 international conference on Computational science: PartII

Evaluation of several variants of explicitly restarted lanczos eigensolvers and their parallel implementations

VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science

Adaptive Projection Subspace Dimension for the Thick-Restart Lanczos Method

ACM Transactions on Mathematical Software (TOMS)

Saving flops in LU based shift-and-invert strategy

Journal of Computational and Applied Mathematics

A thick-restarted block Arnoldi algorithm with modified Ritz vectors for large eigenproblems

Computers & Mathematics with Applications

Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations

Journal of Computational Physics

An invariant subspace method for large-scale algebraic Riccati equation

Applied Numerical Mathematics

A block Chebyshev-Davidson method with inner-outer restart for large eigenvalue problems

Journal of Computational Physics

On the Semidefinite B-Arnoldi Method

SIAM Journal on Matrix Analysis and Applications

Shift-Invert Arnoldi's Method with Preconditioned Iterative Solves

SIAM Journal on Matrix Analysis and Applications

Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems

Journal of Computational Physics

Deflated and Restarted Symmetric Lanczos Methods for Eigenvalues and Linear Equations with Multiple Right-Hand Sides

SIAM Journal on Scientific Computing

Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromodynamics

SIAM Journal on Scientific Computing

A Refined Harmonic Lanczos Bidiagonalization Method and an Implicitly Restarted Algorithm for Computing the Smallest Singular Triplets of Large Matrices

SIAM Journal on Scientific Computing

A-posteriori residual bounds for Arnoldi's methods for nonsymmetric eigenvalue problems

Numerical Algorithms

Improvement of the recursive projection method for linear iterative scheme stabilization based on an approximate eigenvalue problem

Journal of Computational Physics

GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem

Applied Numerical Mathematics

On the modification of an eigenvalue problem that preserves an eigenspace

Journal of Computational and Applied Mathematics

A parallel subdomain by subdomain implementation of the implicitly restarted Arnoldi/Lanczos method

Computational Mechanics

Approximate eigensolution of Laplacian matrices for locally modified graph products

Journal of Computational and Applied Mathematics

A Krylov Method for the Delay Eigenvalue Problem

SIAM Journal on Scientific Computing

Accelerating the LSTRS Algorithm

SIAM Journal on Scientific Computing

Restarting the Nonsymmetric Lanczos Algorithm for Eigenvalues and Linear Equations Including Multiple Right-Hand Sides

SIAM Journal on Scientific Computing

Rational krylov for large nonlinear eigenproblems

PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing

Computation of eigenpair partial derivatives by Rayleigh-Ritz procedure

Journal of Computational and Applied Mathematics

A practical approach to significance assessment in alignment with gaps

RECOMB'05 Proceedings of the 9th Annual international conference on Research in Computational Molecular Biology

Analysis of an implicitly restarted simpler GMRES variant of augmented GMRES

ICCSA'10 Proceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part II

A new shift scheme for the harmonic Arnoldi method

Mathematical and Computer Modelling: An International Journal

Computing eigenpairs of quadratic eigensystems

Mathematical and Computer Modelling: An International Journal

Computation of POD basis functions for fluid flows with lanczos methods

Mathematical and Computer Modelling: An International Journal

Updating the Lambda modes of a nuclear power reactor

Mathematical and Computer Modelling: An International Journal

A new algorithm for computing eigenpairs of matrices

Mathematical and Computer Modelling: An International Journal

An iterative method for single and vertically stacked semiconductor quantum dots simulation

Mathematical and Computer Modelling: An International Journal

A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm

Mathematical and Computer Modelling: An International Journal

Strategies for spectrum slicing based on restarted Lanczos methods

Numerical Algorithms

Practical acceleration for computing the HITS ExpertRank vectors

Journal of Computational and Applied Mathematics

An overview on the eigenvalue computation for matrices

Neural, Parallel & Scientific Computations

Sampling techniques for monte carlo matrix multiplication with applications to image processing

MCPR'12 Proceedings of the 4th Mexican conference on Pattern Recognition

SMI 2013: Heat diffusion kernel and distance on surface meshes and point sets

Computers and Graphics

An implicitly restarted Lanczos bidiagonalization method with refined harmonic shifts for computing smallest singular triplets

Journal of Computational and Applied Mathematics

BILGO: Bilateral greedy optimization for large scale semidefinite programming

Neurocomputing

Prescribing the behavior of early terminating GMRES and Arnoldi iterations

Numerical Algorithms

Accelerating the Arnoldi-Type Algorithm for the PageRank Problem and the ProteinRank Problem

Journal of Scientific Computing

On refined Ritz vectors and polynomial characterization

Computers & Mathematics with Applications

A Jacobi---Davidson type method with a correction equation tailored for integral operators

Numerical Algorithms