scipy.sparse.linalg.expm¶

scipy.sparse.linalg.expm(A)[source]¶

Compute the matrix exponential using Pade approximation.

New in version 0.12.0.

Parameters:

Parameters:	A : (M,M) array_like or sparse matrix 2D Array or Matrix (sparse or dense) to be exponentiated
Returns:	expA : (M,M) ndarray Matrix exponential of A

A : (M,M) array_like or sparse matrix

2D Array or Matrix (sparse or dense) to be exponentiated

Returns:

expA : (M,M) ndarray

Matrix exponential of A

Notes

This is algorithm (6.1) which is a simplification of algorithm (5.1).

References

[R184]

Awad H. Al-Mohy and Nicholas J. Higham (2009) “A New Scaling and Squaring Algorithm for the Matrix Exponential.” SIAM Journal on Matrix Analysis and Applications. 31 (3). pp. 970-989. ISSN 1095-7162

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