matrix-exponential

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

Matrices with interval coefficients in Julia

Multiprecision matrix exponential

A Python class to apply the imaginary exponential of a matrix (real tridiagonal or complex) using Fortran code; these functions apply well to solve the small matrix exponential which occurs for Lanczos or Arnoldi propagator of Schrödinger-type problems

Quantum simulation using matrix exponentials and Lie-theoretic Trotterization. Lecture 6 from the Lie Groups with Applications series by Quantum Formalism.

Julia package for adaptive matrix exponential based on tolerance

An arbitrary precision scaling and squaring algorithm for the exponential of a matrix

Computing the matrix exponential with an optimized Taylor polynomial approximation

Infinite Matrices and Its Application

Seven empirical studies of openai/math applications: string storage, Elliptic2 graph features, k-median/PAM, P2P topology, and matrix exponentials. Code, measurements, reproducibility guides, negative results, and limitations.

Practical shift choice for Shift-And-Invert method

Calculators for basic needs for solving problems related to matrices and graphs

Highly optimised C implementation of matrix exponential using Al-Mohy & Higham's algorithm, featuring advanced performance techniques like vectorization and LU decomposition.

MMPA matrix-exponential solver for linear decay chains. Order 32 verified against Bateman and Radau.

Shared C++/Eigen native library for the Crystallography suite: eigenvalue decomposition and matrix exponentials for dynamical diffraction, HRTEM image formation, pseudo-Voigt fitting, and histograms.