Method symmetricEigenDecomposition

static member symmetricEigenDecomposition: MatrixPart -> Tensor<'T> -> Tensor<'T> * Tensor<'T>

Computes the (real) eigendecomposition of a symmetric matrix.

Declaration

static member symmetricEigenDecomposition: part:MatrixPart -> a:Tensor<'T> -> Tensor<'T> * Tensor<'T>

Parameters

Type	Name	Description
MatrixPart	part	Specifies which part of the matrix should be used.
Tensor<'T>	a	The input matrix to this operation.

Returns

Type	Description
Tensor<'T> * Tensor<'T>	A tuple consisting of `(vals, vecs)` where each column of `vecs` is the eigenvector for the corresponding eigenvalue in `vals`.

Remarks

The eigendecomposition of a symmetric matrix is real. Only the part of the matrix specified by part is used. The other part is ignored and can contain arbitrary values.