
ARPACK
 Referenced in 798 articles
[sw04218]
 Arnoldi process called the Implicitly Restarted Arnoldi Method (IRAM). When the matrix A is symmetric...

eigs
 Referenced in 318 articles
[sw03702]
 analyses a new implementation of the Arnoldi method for computing a few eigenvalues ... square matrix (which reduces to the Lanczos method in the symmetric case). Using a truncated ... Arnoldi (Lanczos) vector on each iteration. This approach generalizes explicit restart methods. Advantages...

IRAM
 Referenced in 196 articles
[sw08795]
 polynomial filters in a kstep Arnoldi method. The author describes and analyses ... implementation of the Arnoldi method for computing a few eigenvalues and the corresponding eigenvectors ... square matrix (which reduces to the Lanczos method in the symmetric case). Using a truncated ... Arnoldi (Lanczos) vector on each iteration. This approach generalizes explicit restart methods. Advantages...

Expokit
 Referenced in 181 articles
[sw00258]
 matrixfree Krylov subspace projection methods (Arnoldi and Lanczos processes), and that...

Anderson
 Referenced in 74 articles
[sw15192]
 sense to the generalized minimal residual (GMRES) method. We also show that the Type ... similarly essentially equivalent to the Arnoldi (full orthogonalization) method. We then discuss practical considerations...

Algorithm 922
 Referenced in 32 articles
[sw12858]
 mixed finite element method is applied. The method has two major advantages: 1) the formulation ... problem, an iterative algorithm using restarted Arnoldi method is proposed. To make the computation efficient...

P  ARPACK
 Referenced in 21 articles
[sw09265]
 subroutines which implement the implicitly, restarted Arnoldi method used for solving large sparse eigenvalue problems...

Nek5000
 Referenced in 71 articles
[sw08064]
 solved using matrixfree methods adopting the timestepping Arnoldi approach. We present here...

CMRH
 Referenced in 31 articles
[sw02194]
 Krylov subspace. The GMRES method uses the Arnoldi process while QMR uses the Lanczos algorithm ... this paper we give a new method similar to QMR but based on the Hessenberg...

MERAM
 Referenced in 5 articles
[sw12819]
 Multiple explicitly restarted Arnoldi method for solving large eigenproblems. We propose a new approach ... multiple use of the explicitly restarted Arnoldi method (ERAM) and improves its convergence. This technique ... better than the explicitly restarted block Arnoldi method and, for some matrices, more quickly than ... package, which implements the implicitly restarted Arnoldi method...

rrgmrestbx
 Referenced in 13 articles
[sw11496]
 posed problems. Range restricted iterative methods based on the Arnoldi process are attractive ... Several derivations of this type of iterative methods are compared by the authors [Implementation...

ROWMAP
 Referenced in 48 articles
[sw09627]
 problems. It is based on the ROWmethods of the code ROS4 of Hairer ... solution of linear systems. A special multiple Arnoldi process ensures order p = 4 already...

corr2el
 Referenced in 3 articles
[sw10319]
 approach based on the implicitly restarted Arnoldi method (IRAM) is employed. The Hamiltonian matrix...

ALTDSE
 Referenced in 4 articles
[sw00037]
 ALTDSE: An ArnoldiLanczos program to solve the timedependent Schrödinger equation. We describe ... general ab initio and nonperturbative method to solve the timedependent Schrödinger equation (TDSE ... propagated in time using the ArnoldiLanczos method. Probabilities for survival of the ground state...

StabilityStabilizationPTDS
 Referenced in 1 article
[sw38318]
 largest Floquet multipliers. The stabilization method requires the usage of the software HANSO (Hybrid Algorithm ... These largescale routines solve with Arnoldi’s method the discretized aigenvalue problem arising from...

DQGMRES
 Referenced in 13 articles
[sw02177]
 orthogonalization. A truncated version of the GMRES method for solving large sparse systems of linear ... algorithm, which is based on the incomplete Arnoldi orthogonalization process and computes a sequence...

ANSYS
 Referenced in 665 articles
[sw00044]
 ANSYS offers a comprehensive software suite that spans...

ARMS
 Referenced in 65 articles
[sw00048]
 ARMS: an algebraic recursive multilevel solver for general...

ATLAS
 Referenced in 197 articles
[sw00056]
 This paper describes the Automatically Tuned Linear Algebra...

EIGIFP
 Referenced in 43 articles
[sw00235]
 eigifp is a MATLAB program for computing a...