Qr
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Computes the QR decompositions of one or more matrices.
Computes the QR decomposition of each inner matrix in `tensor` such that
`tensor[..., :, :] = q[..., :, :] * r[..., :,:])`
Currently, the gradient for the QR decomposition is well-defined only when
the first `P` columns of the inner matrix are linearly independent, where
`P` is the minimum of `M` and `N`, the 2 inner-most dimmensions of `tensor`.
# 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)
Constants
| String |
OP_NAME |
The name of this op, as known by TensorFlow core engine |
Inherited Methods
From class
java.lang.Object
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boolean
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equals(Object arg0)
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final
Class<?>
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getClass()
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int
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hashCode()
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final
void
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notify()
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final
void
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notifyAll()
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String
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toString()
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final
void
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wait(long arg0, int arg1)
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final
void
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wait(long arg0)
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final
void
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wait()
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Constants
public
static
final
String
OP_NAME
The name of this op, as known by TensorFlow core engine
Constant Value:
"Qr"
Public Methods
Factory method to create a class wrapping a new Qr operation.
Parameters
| scope |
current scope |
| input |
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`. |
| options |
carries optional attributes values |
public
static
Qr.Options
fullMatrices
(Boolean fullMatrices)
Parameters
| fullMatrices |
If true, compute full-sized `q` and `r`. If false
(the default), compute only the leading `P` columns of `q`.
|
public
Output<T>
q
()
Orthonormal basis for range of `a`. If `full_matrices` is `False` then
shape is `[..., M, P]`; if `full_matrices` is `True` then shape is
`[..., M, M]`.
public
Output<T>
r
()
Triangular factor. If `full_matrices` is `False` then shape is
`[..., P, N]`. If `full_matrices` is `True` then shape is `[..., M, N]`.
Except as otherwise noted, the content of this page is licensed under the Creative Commons Attribution 4.0 License, and code samples are licensed under the Apache 2.0 License. For details, see the Google Developers Site Policies. Java is a registered trademark of Oracle and/or its affiliates.
Last updated 2021-11-29 UTC.
[[["Easy to understand","easyToUnderstand","thumb-up"],["Solved my problem","solvedMyProblem","thumb-up"],["Other","otherUp","thumb-up"]],[["Missing the information I need","missingTheInformationINeed","thumb-down"],["Too complicated / too many steps","tooComplicatedTooManySteps","thumb-down"],["Out of date","outOfDate","thumb-down"],["Samples / code issue","samplesCodeIssue","thumb-down"],["Other","otherDown","thumb-down"]],["Last updated 2021-11-29 UTC."],[],[],null,["# Qr\n\npublic final class **Qr** \nComputes the QR decompositions of one or more matrices.\n\n\nComputes the QR decomposition of each inner matrix in \\`tensor\\` such that\n\\`tensor\\[..., :, :\\] = q\\[..., :, :\\] \\* r\\[..., :,:\\])\\`\n\n\nCurrently, the gradient for the QR decomposition is well-defined only when\nthe first \\`P\\` columns of the inner matrix are linearly independent, where\n\\`P\\` is the minimum of \\`M\\` and \\`N\\`, the 2 inner-most dimmensions of \\`tensor\\`. \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### Nested Classes\n\n|-------|---|---|------------------------------------------------------------------------------|\n| class | [Qr.Options](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr.Options) || Optional attributes for [Qr](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr) |\n\n### Constants\n\n|--------|-------------------------------------------------------------------|---------------------------------------------------------|\n| String | [OP_NAME](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr#OP_NAME) | The name of this op, as known by TensorFlow core engine |\n\n### Public Methods\n\n|----------------------------------------------------------------------------------------------------------------------------------------------|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|\n| static \\\u003cT extends [TType](/jvm/api_docs/java/org/tensorflow/types/family/TType)\\\u003e [Qr](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr)\\\u003cT\\\u003e | [create](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr#create(org.tensorflow.op.Scope, org.tensorflow.Operand\u003cT\u003e, org.tensorflow.op.linalg.Qr.Options...))([Scope](/jvm/api_docs/java/org/tensorflow/op/Scope) scope, [Operand](/jvm/api_docs/java/org/tensorflow/Operand)\\\u003cT\\\u003e input, [Options...](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr.Options) options) Factory method to create a class wrapping a new Qr operation. |\n| static [Qr.Options](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr.Options) | [fullMatrices](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr#fullMatrices(java.lang.Boolean))(Boolean fullMatrices) |\n| [Output](/jvm/api_docs/java/org/tensorflow/Output)\\\u003cT\\\u003e | [q](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr#q())() Orthonormal basis for range of \\`a\\`. |\n| [Output](/jvm/api_docs/java/org/tensorflow/Output)\\\u003cT\\\u003e | [r](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr#r())() Triangular factor. |\n\n### Inherited Methods\n\nFrom class [org.tensorflow.op.RawOp](/jvm/api_docs/java/org/tensorflow/op/RawOp) \n\n|----------------------------------------------------------|---------------------------------------------------------------------------------------------------------------------------------------------------------------|\n| final boolean | [equals](/jvm/api_docs/java/org/tensorflow/op/RawOp#equals(java.lang.Object))(Object obj) |\n| final int | [hashCode](/jvm/api_docs/java/org/tensorflow/op/RawOp#hashCode())() |\n| [Operation](/jvm/api_docs/java/org/tensorflow/Operation) | [op](/jvm/api_docs/java/org/tensorflow/op/RawOp#op())() Return this unit of computation as a single [Operation](/jvm/api_docs/java/org/tensorflow/Operation). |\n| final String | [toString](/jvm/api_docs/java/org/tensorflow/op/RawOp#toString())() |\n\nFrom class java.lang.Object \n\n|------------------|---------------------------|\n| boolean | equals(Object arg0) |\n| final Class\\\u003c?\\\u003e | getClass() |\n| int | hashCode() |\n| final void | notify() |\n| final void | notifyAll() |\n| String | toString() |\n| final void | wait(long arg0, int arg1) |\n| final void | wait(long arg0) |\n| final void | wait() |\n\nFrom interface [org.tensorflow.op.Op](/jvm/api_docs/java/org/tensorflow/op/Op) \n\n|-----------------------------------------------------------------------------------------|------------------------------------------------------------------------------------------------------------------------------------------------------------|\n| abstract [ExecutionEnvironment](/jvm/api_docs/java/org/tensorflow/ExecutionEnvironment) | [env](/jvm/api_docs/java/org/tensorflow/op/Op#env())() Return the execution environment this op was created in. |\n| abstract [Operation](/jvm/api_docs/java/org/tensorflow/Operation) | [op](/jvm/api_docs/java/org/tensorflow/op/Op#op())() Return this unit of computation as a single [Operation](/jvm/api_docs/java/org/tensorflow/Operation). |\n\nConstants\n---------\n\n#### public static final String\n**OP_NAME**\n\nThe name of this op, as known by TensorFlow core engine \nConstant Value: \"Qr\"\n\nPublic Methods\n--------------\n\n#### public static [Qr](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr)\\\u003cT\\\u003e\n**create**\n([Scope](/jvm/api_docs/java/org/tensorflow/op/Scope) scope, [Operand](/jvm/api_docs/java/org/tensorflow/Operand)\\\u003cT\\\u003e input, [Options...](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr.Options) options)\n\nFactory method to create a class wrapping a new Qr operation. \n\n##### Parameters\n\n| scope | current scope |\n| input | 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| options | carries optional attributes values |\n|---------|----------------------------------------------------------------------------------------------------------------------------------------------------|\n\n##### Returns\n\n- a new instance of Qr \n\n#### public static [Qr.Options](/jvm/api_docs/java/org/tensorflow/op/linalg/Qr.Options)\n**fullMatrices**\n(Boolean fullMatrices)\n\n\u003cbr /\u003e\n\n##### Parameters\n\n| fullMatrices | If true, compute full-sized \\`q\\` and \\`r\\`. If false (the default), compute only the leading \\`P\\` columns of \\`q\\`. |\n|--------------|-----------------------------------------------------------------------------------------------------------------------|\n\n#### public [Output](/jvm/api_docs/java/org/tensorflow/Output)\\\u003cT\\\u003e\n**q**\n()\n\nOrthonormal basis for range of \\`a\\`. If \\`full_matrices\\` is \\`False\\` then\nshape is \\`\\[..., M, P\\]\\`; if \\`full_matrices\\` is \\`True\\` then shape is\n\\`\\[..., M, M\\]\\`. \n\n#### public [Output](/jvm/api_docs/java/org/tensorflow/Output)\\\u003cT\\\u003e\n**r**\n()\n\nTriangular factor. If \\`full_matrices\\` is \\`False\\` then shape is\n\\`\\[..., P, N\\]\\`. If \\`full_matrices\\` is \\`True\\` then shape is \\`\\[..., M, N\\]\\`."]]
