Computes the matrix logarithm of one or more square matrices:

tf.linalg.logm( input, name=None )

\(log(exp(A)) = A\)

This op is only defined for complex matrices. If A is positive-definite and real, then casting to a complex matrix, taking the logarithm and casting back to a real matrix will give the correct result.

This function computes the matrix logarithm using the Schur-Parlett algorithm. Details of the algorithm can be found in Section 11.6.2 of: Nicholas J. Higham, Functions of Matrices: Theory and Computation, SIAM 2008. ISBN 978-0-898716-46-7.

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 | |
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`input` | A `Tensor` . Must be one of the following types: `complex64` , `complex128` . Shape is `[..., M, M]` . |

`name` | A name for the operation (optional). |

Returns | |
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A `Tensor` . Has the same type as `input` . |

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Licensed under the Creative Commons Attribution License 3.0.

Code samples licensed under the Apache 2.0 License.

https://www.tensorflow.org/versions/r1.15/api_docs/python/tf/linalg/logm