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Computes the Cholesky decomposition of one or more square matrices.

Used in the notebooks

Used in the tutorials

The input is a tensor of shape [..., M, M] whose inner-most 2 dimensions form square matrices.

The input has to be symmetric and positive definite. Only the lower-triangular part of the input will be used for this operation. The upper-triangular part will not be read.

The output is a tensor of the same shape as the input containing the Cholesky decompositions for all input submatrices [..., :, :].

input A Tensor. Must be one of the following types: float64, float32, half, complex64, complex128. Shape is [..., M, M].
name A name for the operation (optional).

A Tensor. Has the same type as input.