TensorFlow 1 version
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View source on GitHub
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Computes the matrix exponential of one or more square matrices.
tf.linalg.expm(
input, name=None
)
$$exp(A) = \sum_{n=0}^\infty A^n/n!$$
The exponential is computed using a combination of the scaling and squaring method and the Pade approximation. Details can be found in: Nicholas J. Higham, "The scaling and squaring method for the matrix exponential revisited," SIAM J. Matrix Anal. Applic., 26:1179-1193, 2005.
The input is a tensor of shape [..., M, M] whose inner-most 2 dimensions
form square matrices. The output is a tensor of the same shape as the input
containing the exponential for all input submatrices [..., :, :].
Args | |
|---|---|
input
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A Tensor. Must be float16, float32, float64, complex64, or
complex128 with shape [..., M, M].
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name
|
A name to give this Op (optional).
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Returns | |
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| the matrix exponential of the input. |
Raises | |
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ValueError
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An unsupported type is provided as input. |
scipy compatibility
Equivalent to scipy.linalg.expm