tf.raw_ops.MatrixSquareRoot
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Computes the matrix square root of one or more square matrices:
tf.raw_ops.MatrixSquareRoot(
input, name=None
)
matmul(sqrtm(A), sqrtm(A)) = A
The input matrix should be invertible. If the input matrix is real, it should
have no eigenvalues which are real and negative (pairs of complex conjugate
eigenvalues are allowed).
The matrix square root is computed by first reducing the matrix to
quasi-triangular form with the real Schur decomposition. The square root
of the quasi-triangular matrix is then computed directly. Details of
the algorithm can be found in: Nicholas J. Higham, "Computing real
square roots of a real matrix", Linear Algebra Appl., 1987.
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 matrix square root for all input submatrices [..., :, :].
Args |
|---|
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).
|
Returns |
|---|
A Tensor. Has the same type as input.
|
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Last updated 2024-04-26 UTC.
[null,null,["Last updated 2024-04-26 UTC."],[],[],null,["# tf.raw_ops.MatrixSquareRoot\n\n\u003cbr /\u003e\n\nComputes the matrix square root of one or more square matrices:\n\n#### View aliases\n\n\n**Compat aliases for migration**\n\nSee\n[Migration guide](https://www.tensorflow.org/guide/migrate) for\nmore details.\n\n[`tf.compat.v1.raw_ops.MatrixSquareRoot`](https://www.tensorflow.org/api_docs/python/tf/raw_ops/MatrixSquareRoot)\n\n\u003cbr /\u003e\n\n tf.raw_ops.MatrixSquareRoot(\n input, name=None\n )\n\nmatmul(sqrtm(A), sqrtm(A)) = A\n\nThe input matrix should be invertible. If the input matrix is real, it should\nhave no eigenvalues which are real and negative (pairs of complex conjugate\neigenvalues are allowed).\n\nThe matrix square root is computed by first reducing the matrix to\nquasi-triangular form with the real Schur decomposition. The square root\nof the quasi-triangular matrix is then computed directly. Details of\nthe algorithm can be found in: Nicholas J. Higham, \"Computing real\nsquare roots of a real matrix\", Linear Algebra Appl., 1987.\n\nThe input is a tensor of shape `[..., M, M]` whose inner-most 2 dimensions\nform square matrices. The output is a tensor of the same shape as the input\ncontaining the matrix square root for all input submatrices `[..., :, :]`.\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n| Args ---- ||\n|---------|----------------------------------------------------------------------------------------------------------------------------------|\n| `input` | A `Tensor`. Must be one of the following types: `float64`, `float32`, `half`, `complex64`, `complex128`. Shape is `[..., M, M]`. |\n| `name` | A name for the operation (optional). |\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n| Returns ------- ||\n|---|---|\n| A `Tensor`. Has the same type as `input`. ||\n\n\u003cbr /\u003e"]]
