Struct SelfAdjointEigendecomposition

pub struct SelfAdjointEigendecomposition<E>
where
    E: Entity,
{
    s: Col<E>,
    u: Mat<E>,
}

Self-adjoint eigendecomposition.

Fields

s: Col<E>

u: Mat<E>

Implementations

impl<E> SelfAdjointEigendecomposition<E>

where E: ComplexField,

pub fn new<ViewE>( matrix: MatRef<'_, ViewE>, side: Side, ) -> SelfAdjointEigendecomposition<E>

where ViewE: Conjugate<Canonical = E>,

Returns the eigenvalue decomposition of the Hermitian input matrix.

The factorization is such that $A = U S U^H$, where $S$ is a diagonal matrix, and $U$ is unitary.

Only the provided side is accessed.

pub fn u(&self) -> MatRef<'_, E>

Returns the factor $U$ of the eigenvalue decomposition.

pub fn s(&self) -> DiagRef<'_, E>

Returns the factor $S$ of the eigenvalue decomposition.

Trait Implementations

impl<E> Debug for SelfAdjointEigendecomposition<E>

where E: Debug + Entity,

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<E> SolverCore<E> for SelfAdjointEigendecomposition<E>

where E: ComplexField,

fn reconstruct(&self) -> Mat<E>

Reconstructs the original matrix using the decomposition.

fn inverse(&self) -> Mat<E>

Computes the inverse of the original matrix using the decomposition.

impl<E> SpSolverCore<E> for SelfAdjointEigendecomposition<E>

where E: ComplexField,

fn nrows(&self) -> usize

Returns the number of rows of the matrix used to construct this decomposition.

fn ncols(&self) -> usize

Returns the number of columns of the matrix used to construct this decomposition.