Compute the exponential of a matrix.
a matrix, typically inheriting from the
The exponential of a matrix is defined as the infinite Taylor
expm(A) = I + A + A^2/2! + A^3/3! + ... (although this is
definitely not the way to compute it). The method for the
dgeMatrix class uses Ward's diagonal Pade' approximation with
three step preconditioning.
The matrix exponential of
The expm package contains newer (partly faster and more
accurate) algorithms for
expm() and includes
This is a translation of the implementation of the corresponding Octave function contributed to the Octave project by A. Scottedward Hodel A.S.Hodel@Eng.Auburn.EDU. A bug in there has been fixed by Martin Maechler.
Cleve Moler and Charles Van Loan (2003) Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM Review 45, 1, 3–49.
Eric W. Weisstein et al. (1999) Matrix Exponential. From MathWorld, http://mathworld.wolfram.com/MatrixExponential.html
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