Struct CholeskyFactorized 

pub struct CholeskyFactorized<S>
where
    S: Data,
{
    pub factor: ArrayBase<S, Dim<[usize; 2]>>,
    pub uplo: UPLO,
}

Cholesky decomposition of Hermitian (or real symmetric) positive definite matrix

Fields

factor: ArrayBase<S, Dim<[usize; 2]>>

L from the decomposition A = L * L^H or U from the decomposition A = U^H * U.

uplo: UPLO

If this is UPLO::Lower, then self.factor is L. If this is UPLO::Upper, then self.factor is U.

Implementations

impl<A, S> CholeskyFactorized<S>

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

pub fn into_lower(self) -> ArrayBase<S, Dim<[usize; 2]>>

Returns L from the Cholesky decomposition A = L * L^H.

If self.uplo == UPLO::Lower, then no computations need to be performed; otherwise, the conjugate transpose of self.factor is calculated.

pub fn into_upper(self) -> ArrayBase<S, Dim<[usize; 2]>>

Returns U from the Cholesky decomposition A = U^H * U.

If self.uplo == UPLO::Upper, then no computations need to be performed; otherwise, the conjugate transpose of self.factor is calculated.

Trait Implementations

impl<A, S> DeterminantC for CholeskyFactorized<S>

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

type Output = <A as Scalar>::Real

fn detc(&self) -> <CholeskyFactorized<S> as DeterminantC>::Output

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

fn ln_detc(&self) -> <CholeskyFactorized<S> as DeterminantC>::Output

Computes the natural log of the determinant of the Hermitian (or real symmetric) positive definite matrix.

impl<A, S> DeterminantCInto for CholeskyFactorized<S>

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

type Output = <A as Scalar>::Real

fn detc_into(self) -> <CholeskyFactorized<S> as DeterminantCInto>::Output

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

fn ln_detc_into(self) -> <CholeskyFactorized<S> as DeterminantCInto>::Output

Computes the natural log of the determinant of the Hermitian (or real symmetric) positive definite matrix.

impl<A, S> InverseC for CholeskyFactorized<S>

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

type Output = ArrayBase<OwnedRepr<A>, Dim<[usize; 2]>>

fn invc( &self, ) -> Result<<CholeskyFactorized<S> as InverseC>::Output, LinalgError>

Computes the inverse of the Hermitian (or real symmetric) positive definite matrix.

impl<A, S> InverseCInto for CholeskyFactorized<S>

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

type Output = ArrayBase<S, Dim<[usize; 2]>>

fn invc_into( self, ) -> Result<<CholeskyFactorized<S> as InverseCInto>::Output, LinalgError>

Computes the inverse of the Hermitian (or real symmetric) positive definite matrix.

impl<A, S> SolveC<A> for CholeskyFactorized<S>

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

fn solvec_inplace<'a, Sb>( &self, b: &'a mut ArrayBase<Sb, Dim<[usize; 1]>>, ) -> Result<&'a mut ArrayBase<Sb, Dim<[usize; 1]>>, LinalgError>

where Sb: DataMut<Elem = A>,

Solves a system of linear equations A * x = b with Hermitian (or real symmetric) positive definite matrix A, where A is self, b is the argument, and x is the successful result. The value of x is also assigned to the argument.

fn solvec<S>( &self, b: &ArrayBase<S, Dim<[usize; 1]>>, ) -> Result<ArrayBase<OwnedRepr<A>, Dim<[usize; 1]>>, LinalgError>

where S: Data<Elem = A>,

Solves a system of linear equations A * x = b with Hermitian (or real symmetric) positive definite matrix A, where A is self, b is the argument, and x is the successful result.

fn solvec_into<S>( &self, b: ArrayBase<S, Dim<[usize; 1]>>, ) -> Result<ArrayBase<S, Dim<[usize; 1]>>, LinalgError>

where S: DataMut<Elem = A>,

Solves a system of linear equations A * x = b with Hermitian (or real symmetric) positive definite matrix A, where A is self, b is the argument, and x is the successful result.