org.tensorflow.op.core

Class Lu<T,U extends Number>

java.lang.Object

org.tensorflow.op.PrimitiveOp

org.tensorflow.op.core.Lu<T,U>

Type Parameters:

T - data type for lu() output

U - data type for p() output

All Implemented Interfaces:

Op

@Operator
public final class Lu<T,U extends Number>
extends PrimitiveOp

Computes the LU decomposition of one or more square matrices.

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

The input has to be invertible.

The output consists of two tensors LU and P containing the LU decomposition of all input submatrices `[..., :, :]`. LU encodes the lower triangular and upper triangular factors.

For each input submatrix of shape `[M, M]`, L is a lower triangular matrix of shape `[M, M]` with unit diagonal whose entries correspond to the strictly lower triangular part of LU. U is a upper triangular matrix of shape `[M, M]` whose entries correspond to the upper triangular part, including the diagonal, of LU.

P represents a permutation matrix encoded as a list of indices each between `0` and `M-1`, inclusive. If P_mat denotes the permutation matrix corresponding to P, then the L, U and P satisfies P_mat * input = L * U.

Field Summary

Fields inherited from class org.tensorflow.op.PrimitiveOp

operation

Method Summary

Modifier and Type	Method and Description
static <T> Lu<T,Integer>	create(Scope scope, Operand<T> input) Factory method to create a class wrapping a new Lu operation using default output types.
static <T,U extends Number> Lu<T,U>	create(Scope scope, Operand<T> input, Class<U> outputIdxType) Factory method to create a class wrapping a new Lu operation.
Output<T>	lu() A tensor of shape `[..., M, M]` whose strictly lower triangular part denotes the lower triangular factor `L` with unit diagonal, and whose upper triangular part denotes the upper triangular factor `U`.
Output<U>	p() Permutation of the rows encoded as a list of indices in `0..M-1`.

Methods inherited from class org.tensorflow.op.PrimitiveOp

equals, hashCode, op, toString

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Method Detail

create

public static <T,U extends Number> Lu<T,U> create(Scope scope,
                                                  Operand<T> input,
                                                  Class<U> outputIdxType)

Factory method to create a class wrapping a new Lu operation.

Parameters:

scope - current scope

input - A tensor of shape `[..., M, M]` whose inner-most 2 dimensions form matrices of size `[M, M]`.

outputIdxType -

Returns:

a new instance of Lu

create

public static <T> Lu<T,Integer> create(Scope scope,
                                       Operand<T> input)

Factory method to create a class wrapping a new Lu operation using default output types.

Parameters:

scope - current scope

input - A tensor of shape `[..., M, M]` whose inner-most 2 dimensions form matrices of size `[M, M]`.

Returns:

a new instance of Lu

lu

public Output<T> lu()

A tensor of shape `[..., M, M]` whose strictly lower triangular part denotes the lower triangular factor `L` with unit diagonal, and whose upper triangular part denotes the upper triangular factor `U`.

p

public Output<U> p()

Permutation of the rows encoded as a list of indices in `0..M-1`. Shape is `[..., M]`.