tf.linalg.qr
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Computes the QR decompositions of one or more matrices.
tf.linalg.qr(
input, full_matrices=False, name=None
)
Computes the QR decomposition of each inner matrix in tensor such that
tensor[..., :, :] = q[..., :, :] * r[..., :,:])
# a is a tensor.
# q is a tensor of orthonormal matrices.
# r is a tensor of upper triangular matrices.
q, r = qr(a)
q_full, r_full = qr(a, full_matrices=True)
Args |
|---|
input
|
A Tensor. Must be one of the following types: float64, float32, half, complex64, complex128.
A tensor of shape [..., M, N] whose inner-most 2 dimensions
form matrices of size [M, N]. Let P be the minimum of M and N.
|
full_matrices
|
An optional bool. Defaults to False.
If true, compute full-sized q and r. If false
(the default), compute only the leading P columns of q.
|
name
|
A name for the operation (optional).
|
Returns |
|---|
A tuple of Tensor objects (q, r).
|
q
|
A Tensor. Has the same type as input.
|
r
|
A Tensor. Has the same type as input.
|
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Last updated 2020-10-01 UTC.
[null,null,["Last updated 2020-10-01 UTC."],[],[],null,["# tf.linalg.qr\n\n\u003cbr /\u003e\n\n|-------------------------------------------------------|\n| [TensorFlow 2 version](/api_docs/python/tf/linalg/qr) |\n\nComputes the QR decompositions of one or more matrices.\n\n#### View aliases\n\n\n**Main aliases**\n\n\\`tf.qr\\`\n**Compat aliases for migration**\n\nSee\n[Migration guide](https://www.tensorflow.org/guide/migrate) for\nmore details.\n\n[`tf.compat.v1.linalg.qr`](/api_docs/python/tf/linalg/qr), [`tf.compat.v1.qr`](/api_docs/python/tf/linalg/qr), \\`tf.compat.v2.linalg.qr\\`\n\n\u003cbr /\u003e\n\n tf.linalg.qr(\n input, full_matrices=False, name=None\n )\n\nComputes the QR decomposition of each inner matrix in `tensor` such that\n`tensor[..., :, :] = q[..., :, :] * r[..., :,:])` \n\n # a is a tensor.\n # q is a tensor of orthonormal matrices.\n # r is a tensor of upper triangular matrices.\n q, r = qr(a)\n q_full, r_full = qr(a, full_matrices=True)\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`. A tensor of shape `[..., M, N]` whose inner-most 2 dimensions form matrices of size `[M, N]`. Let `P` be the minimum of `M` and `N`. |\n| `full_matrices` | An optional `bool`. Defaults to `False`. If true, compute full-sized `q` and `r`. If false (the default), compute only the leading `P` columns of `q`. |\n| `name` | A name for the operation (optional). |\n\n\u003cbr /\u003e\n\n\u003cbr /\u003e\n\n| Returns ------- ||\n|-----|-------------------------------------------|\n| A tuple of `Tensor` objects (q, r). ||\n| `q` | A `Tensor`. Has the same type as `input`. |\n| `r` | A `Tensor`. Has the same type as `input`. |\n\n\u003cbr /\u003e"]]
TensorFlow 2 version