expm

square matrix exponential

Calling Sequence

expm(X)

Arguments

:X square matrix with real or complex entries. :

Description

X is a square matrix expm(X) is the matrix

expm(X) = I + X + X^2 /2 + ...

The computation is performed by first block-diagonalizing X and then applying a Pade approximation on each block.

Examples

X=[1 2;3 4]
expm(X)
`logm`_(expm(X))

See Also

• logm square matrix logarithm
• bdiag block diagonalization, generalized eigenvectors
• coff resolvent (cofactor method)
• log natural logarithm
• exp element-wise exponential