Qr

public final class Qr

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)

Nested Classes

class Qr.Options Optional attributes for Qr

Constants

String OP_NAME The name of this op, as known by TensorFlow core engine

Public Methods

static <T extends TType> Qr<T>	create(Scope scope, Operand<T> input, Options... options) Factory method to create a class wrapping a new Qr operation.
static Qr.Options	fullMatrices(Boolean fullMatrices)
Output<T>	q() Orthonormal basis for range of `a`.
Output<T>	r() Triangular factor.

Inherited Methods

From class org.tensorflow.op.RawOp

final boolean	equals(Object obj)
final int	hashCode()
Operation	op() Return this unit of computation as a single `Operation`.
final String	toString()

From class java.lang.Object

boolean	equals(Object arg0)
final Class<?>	getClass()
int	hashCode()
final void	notify()
final void	notifyAll()
String	toString()
final void	wait(long arg0, int arg1)
final void	wait(long arg0)
final void	wait()

From interface org.tensorflow.op.Op

abstract ExecutionEnvironment	env() Return the execution environment this op was created in.
abstract Operation	op() Return this unit of computation as a single `Operation`.

Constants

public static final String OP_NAME

The name of this op, as known by TensorFlow core engine

Constant Value: "Qr"

Public Methods

public static Qr<T> create (Scope scope, Operand<T> input, Options... options)

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

Returns

a new instance of Qr

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]`.