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Scilab Help >> Elementary Functions > Log - exp - power > expm


square matrix exponential

Calling Sequence




a square matrix with real or complex entries.


If X is a square matrix then 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.

Padé approximant is the "best" approximation of a function by a rational function of given order. The technique was developed by Henri Padé, a French mathematician.


X=[1 2;3 4]

See Also

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