Matrix exponential - Wikipedia
In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems of linear differential equations. In the …
Matrix Exponentiation - GeeksforGeeks
Apr 8, 2025 · Matrix Exponentiation is a technique used to calculate a matrix raised to a power efficiently, that is in logN time. It is mostly used for solving problems related to linear recurrences.
The Exponential of a Matrix - Millersville University of Pennsylvania
There are various such algorithms for computing the matrix exponential; this one, which is due to Richard Williamson [1], seems to me to be the easiest for hand computation. It's also possible …
expm - Matrix exponential - MATLAB - MathWorks
Matrix Exponentials illustrates the use of Padé approximation, Taylor series approximation, and eigenvalues and eigenvectors to compute the matrix exponential. References and describe …
High performance computing of the matrix exponential
Jan 1, 2016 · This work presents a new algorithm for matrix exponential computation that significantly simplifies a Taylor scaling and squaring algorithm presented previously by the …
MATRIX_EXPONENTIAL - Algorithms for the Matrix Exponential
Mar 5, 2013 · MATRIX_EXPONENTIAL is a FORTRAN90 library which exhibits and compares some algorithms for approximating the matrix exponential function. Formally, for a square …
11.4 Matrix Exponential 775 Real Distinct Eigenvalues. Suppose Ais 2 2 having real distinct eigenvalues 1, 2 and x(0) is real. Then r 1 = e 1t; r 2 = e 1t e 2T 1 2 and x(t) = e 1tI+ e 1t e 2t 1 …
The Matrix Exponential and Linear Systems of ODEs (with exercises) by Dan Klain Version 2019.10.03 Corrections and comments are welcome. The Matrix Exponential For each n n …
[Tutorial]A Complete Guide on Matrix Exponentiation - Codeforces
The concept of matrix exponentiation in its most general form is very useful in solving questions that involve calculating the $$$n^{th}$$$ term of a linear recurrence relation in time of the …
A New Scaling and Squaring Algorithm for the Matrix Exponential
Building on the scaling and squaring algorithm of Higham [SIAM J. Matrix Anal. Appl., 26 (2005), pp. 1179–1193], which is used by the MATLAB function expm, we derive a new algorithm that …