
Expokit
 Referenced in 198 articles
[sw00258]
 routines aimed at computing matrix exponentials. More precisely, it computes either a small matrix exponential ... action of a large sparse matrix exponential on an operand vector, or the solution ... Hermitian matrices. The computation of matrix exponentials is a numerical issue of critical importance ... constraints. In addition to addressing general matrix exponentials, a distinct attention is assigned...

MATLAB expm
 Referenced in 170 articles
[sw14349]
 scaling and squaring method for the matrix exponential revisited. The scaling and squaring method ... widely used method for computing the matrix exponential, not least because it is the method ... MATLAB function expm. The method scales the matrix by a power of 2 to reduce ... computes a Padé approximant to the matrix exponential, and then repeatedly squares to undo...

Algorithm 919
 Referenced in 66 articles
[sw07350]
 Evaluating the ϕFunctions Appearing in Exponential Integrators. We develop an algorithm for computing ... computing the action of a certain matrix function on the vector representing the initial condition ... linear combination of the matrix exponential and other functions related to the exponential ... major computational burden in the implementation of exponential integrators, which can solve general ODEs...

Expint
 Referenced in 59 articles
[sw07150]
 crucial for accuracy, stability, and efficiency of exponential integrators, and the approach taken here ... common approach used for computing the matrix exponential...

KIOPS
 Referenced in 14 articles
[sw30345]
 combinations of (varphi)functions that appear in exponential integrators. This algorithm is suitable for large ... spectrum or norm of the Jacobian matrix is known a priori. We first show that ... efficiently by computing a single exponential of a modified matrix. Then our approach ... incomplete orthogonalization procedure and project the matrix exponential on this subspace. We also present...

expmARPACK
 Referenced in 9 articles
[sw13396]
 time integration which involves the matrix exponential, is an attractive tool for time domain modeling...

expm
 Referenced in 6 articles
[sw11610]
 package expm: Matrix exponential. Computation of the matrix exponential and related quantities...

LOBPCG
 Referenced in 33 articles
[sw09638]
 solution of matrix eigenvalue problems fail due to the exponentially growing degrees of freedom. Recent...

KronFit
 Referenced in 44 articles
[sw20428]
 here is to use a nonstandard matrix operation, the Kronecker product, to generate graphs ... exponential time. In contrast, KRONFIT takes linear time, by exploiting the structure of Kronecker matrix...

Quantomatic
 Referenced in 22 articles
[sw10107]
 unification of matrix equations. Since these equations can grow exponentially with the size...

rstiefel
 Referenced in 23 articles
[sw11607]
 rstiefel: Random orthonormal matrix generation on the Stiefel manifold. This package simulates random orthonormal matrices ... from linear and quadratic exponential family distributions on the Stiefel manifold. The most general type ... distribution covered is the matrixvariate Binghamvon MisesFisher distribution. Most of the simulation...

OCVdM
 Referenced in 8 articles
[sw41352]
 optimally conditioned n×n Vandermonde matrix to grow exponentially at a rate slightly less than...

pyCTQW
 Referenced in 3 articles
[sw16801]
 various numerical methods of calculating the matrix exponential, and demonstrate the performance behavior of pyCTQW...

Bolsig
 Referenced in 17 articles
[sw12508]
 exponential scheme and solved for the electron energy distribution function by a standard matrix inversion...

MIXREG
 Referenced in 5 articles
[sw24547]
 Gaussian decomposition, and the diagonal matrix reparameterized using the exponential transformation. Estimation of the individual...

Algorithm 982
 Referenced in 2 articles
[sw22551]
 variable, requires one to exponentiate only the diagonal of a matrix ... necessary to compute the exponential of a general triangular matrix. Although this work was motivated...

expmv
 Referenced in 1 article
[sw32427]
 expmv: MATLAB codes for matrix exponential times a vector...

Expokit.jl
 Referenced in 1 article
[sw29335]
 efficient calculation of the action of matrix exponentials on vectors for large sparse matrices...

RobustDMD
 Referenced in 1 article
[sw41056]
 data into a product of a matrix of exponentials, representing Fourierlike time dynamics ... matrix of coefficients, representing spatial structures. This interpretable spatiotemporal decomposition is classically formulated ... features that are not well represented by exponentials in time, the standard Frobenius norm misfit...

Algorithm 894
 Referenced in 3 articles
[sw13925]
 computing the matrix values of ϕfunctions required in exponential integrators. The subroutines ... argument a full, diagonal, or upper quasitriangular matrix with real or complex entries...