• Expokit

  • Referenced in 108 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 95 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 41 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 21 articles [sw07350]
  • Evaluating the ϕ-Functions 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 20 articles [sw09638]
  • solution of matrix eigenvalue problems fail due to the exponentially growing degrees of freedom. Recent...
  • expmARPACK

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

  • Referenced in 1 article [sw11610]
  • expm: Matrix exponential. Computation of the matrix exponential and related quantities...
  • KronFit

  • Referenced in 15 articles [sw20428]
  • here is to use a non-standard 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 6 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 matrix-variate Bingham-von Mises-Fisher distribution. Most of the simulation...
  • Algorithm 894

  • Referenced in 3 articles [sw13925]
  • computing the matrix values of ϕ-functions 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]
  • five-part saga on the umbral transfer-matrix method, based on Gian-Carlo 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 Yennie-Frautschi-Suura exponentiation. Electroweak corrections are included in first order ... particular the complete spin correlations density matrix of the initial-state beams and final state...
  • LDOD

  • Referenced in 1 article [sw20245]
  • Logistic, Negative Binomial, Poisson, Michaelis-Menten, Exponential, Log-Linear, Emax, Richards, Weibull and Inverse Quadratic ... also functions for auto-constructing Fisher information matrix and Frechet derivative based on some input...
  • EXPODE

  • Referenced in 1 article [sw20449]
  • toolbox for exponential time integration. It supports exponential Runge-Kutta- and Rosenbrock-methods, linearized ... EXP4. We support evaluation of the arising matrix functions either directly or by a Krylov...
  • USAP

  • Referenced in 4 articles [sw11569]
  • five-part saga on the umbral transfer-matrix method, based on Gian-Carlo Rota ... polynomial time as opposed to the exponential time that is required by naive counting. Finally...