Sqrtm

public final class Sqrtm

Computes the matrix square root of one or more square matrices:

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 `[..., :, :]`.

Constants

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

Public Methods

Output <T>
asOutput ()
Returns the symbolic handle of the tensor.
static <T extends TType > Sqrtm <T>
create ( Scope scope, Operand <T> input)
Factory method to create a class wrapping a new Sqrtm operation.
Output <T>
output ()
Shape is `[..., M, M]`.

Inherited Methods

Constants

public static final String OP_NAME

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

Constant Value: "MatrixSquareRoot"

Public Methods

public Output <T> asOutput ()

Returns the symbolic handle of the tensor.

Inputs to TensorFlow operations are outputs of another TensorFlow operation. This method is used to obtain a symbolic handle that represents the computation of the input.

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

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

Parameters
scope current scope
input Shape is `[..., M, M]`.
Returns
  • a new instance of Sqrtm

public Output <T> output ()

Shape is `[..., M, M]`.