
Expokit
 Referenced in 124 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 112 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...

Expint
 Referenced in 45 articles
[sw07150]
 crucial for accuracy, stability, and efficiency of exponential integrators, and the approach taken here ... common approach used for computing the matrix exponential...

Algorithm 919
 Referenced in 26 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...

LOBPCG
 Referenced in 24 articles
[sw09638]
 solution of matrix eigenvalue problems fail due to the exponentially growing degrees of freedom. Recent...

expm
 Referenced in 2 articles
[sw11610]
 expm: Matrix exponential. Computation of the matrix exponential and related quantities...

expmARPACK
 Referenced in 2 articles
[sw13396]
 time integration which involves the matrix exponential, is an attractive tool for time domain modeling...

KronFit
 Referenced in 18 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...

Bolsig
 Referenced in 14 articles
[sw12508]
 exponential scheme and solved for the electron energy distribution function by a standard matrix inversion...

pyCTQW
 Referenced in 1 article
[sw16801]
 various numerical methods of calculating the matrix exponential, and demonstrate the performance behavior of pyCTQW...

rstiefel
 Referenced in 9 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...

Algorithm 982
 Referenced in 1 article
[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...

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...

Quantomatic
 Referenced in 2 articles
[sw10107]
 unification of matrix equations. Since these equations can grow exponentially with the size...

CMPT
 Referenced in 4 articles
[sw01132]
 Nature of problem: Many matrix elements in atomic collision theory involve the three dimensional integral ... function multiplied by a plane wave, an exponential, and powers of the radial coordinate...

SimSCRPiecewise
 Referenced in 0 articles
[sw16059]
 data based on a piecewise exponential hazard, covariate matrix and true regression vector. The second ... competing risks data based on three piecewise exponential hazards, three true regression vectors and three...

ZOO
 Referenced in 4 articles
[sw10604]
 fivepart saga on the umbral transfermatrix method, based on GianCarlo Rota ... polynomial time as opposed to the exponential time that is required for counting all animals...

KK
 Referenced in 8 articles
[sw10792]
 which is based on YennieFrautschiSuura exponentiation. Electroweak corrections are included in first order ... particular the complete spin correlations density matrix of the initialstate beams and final state...

LDOD
 Referenced in 1 article
[sw20245]
 Logistic, Negative Binomial, Poisson, MichaelisMenten, Exponential, LogLinear, Emax, Richards, Weibull and Inverse Quadratic ... also functions for autoconstructing Fisher information matrix and Frechet derivative based on some input...

EXPODE
 Referenced in 1 article
[sw20449]
 toolbox for exponential time integration. It supports exponential RungeKutta and Rosenbrockmethods, linearized ... EXP4. We support evaluation of the arising matrix functions either directly or by a Krylov...