
ARPACK
 Referenced in 575 articles
[sw04218]
 Arnoldi process called the Implicitly Restarted Arnoldi Method (IRAM). When the matrix A is symmetric...

eigs
 Referenced in 266 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 132 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 101 articles
[sw00258]
 matrixfree Krylov subspace projection methods (Arnoldi and Lanczos processes), and that...

P  ARPACK
 Referenced in 15 articles
[sw09265]
 subroutines which implement the implicitly, restarted Arnoldi method used for solving large sparse eigenvalue problems...

Algorithm 922
 Referenced in 12 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...

MERAM
 Referenced in 4 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...

CMRH
 Referenced in 15 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...

Anderson
 Referenced in 10 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...

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

Nek5000
 Referenced in 13 articles
[sw08064]
 solved using matrixfree methods adopting the timestepping Arnoldi approach. We present here...

ROWMAP
 Referenced in 40 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...

rrgmrestbx
 Referenced in 7 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...

ALTDSE
 Referenced in 3 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...

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 372 articles
[sw00044]
 ANSYS offers a comprehensive software suite that spans...

ARMS
 Referenced in 45 articles
[sw00048]
 The paper describes new recursive multilevel method for...

ATLAS
 Referenced in 181 articles
[sw00056]
 This paper describes the Automatically Tuned Linear Algebra...

EIGIFP
 Referenced in 8 articles
[sw00235]
 eigifp is a MATLAB program for computing a...

FEMLAB
 Referenced in 44 articles
[sw00274]
 COMSOL Multiphysics, vormals FEMLAB, ist eine Software zur...