Trait ndarray_linalg::solveh::DeterminantHInto

pub trait DeterminantHInto {
    type Elem: Scalar;

    // Required methods
    fn deth_into(self) -> Result<<Self::Elem as Scalar>::Real>;
    fn sln_deth_into(
        self,
    ) -> Result<(<Self::Elem as Scalar>::Real, <Self::Elem as Scalar>::Real)>;
}

An interface for calculating determinants of Hermitian (or real symmetric) matrices.

Required Associated Types

type Elem: Scalar

The element type of the matrix.

Required Methods

fn deth_into(self) -> Result<<Self::Elem as Scalar>::Real>

Computes the determinant of the Hermitian (or real symmetric) matrix.

fn sln_deth_into( self, ) -> Result<(<Self::Elem as Scalar>::Real, <Self::Elem as Scalar>::Real)>

Computes the (sign, natural_log) of the determinant of the Hermitian (or real symmetric) matrix.

The natural_log is the natural logarithm of the absolute value of the determinant. If the determinant is zero, sign is 0 and natural_log is negative infinity.

To obtain the determinant, you can compute sign * natural_log.exp() or just call .deth_into() instead.

This method is more robust than .deth_into() to very small or very large determinants since it returns the natural logarithm of the determinant rather than the determinant itself.

Implementations on Foreign Types

impl<A, S> DeterminantHInto for ArrayBase<S, Ix2>

where A: Scalar + Lapack, S: DataMut<Elem = A>,

type Elem = A

fn deth_into(self) -> Result<A::Real>

fn sln_deth_into(self) -> Result<(A::Real, A::Real)>

Implementors