Trait DeterminantInto

pub trait DeterminantInto<A: Scalar>: Sized {
    // Required method
    fn sln_det_into(self) -> Result<(A, A::Real)>;

    // Provided method
    fn det_into(self) -> Result<A> { ... }
}

An interface for calculating determinants of matrices.

Required Methods

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

Computes the (sign, natural_log) of the determinant of the matrix.

For real matrices, sign is 1, 0, or -1. For complex matrices, sign is 0 or a complex number with absolute value 1. 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 .det_into() instead.

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

Provided Methods

fn det_into(self) -> Result<A>

Computes the determinant of the matrix.

Object Safety

This trait is not object safe.

Implementations on Foreign Types

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

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

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

Implementors

impl<A, S> DeterminantInto<A> for LUFactorized<S>

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