Struct CrossFactors 

pub struct CrossFactors<T: Scalar> {
    pub pivot: DenseOwnedMatrix<T>,
    pub pivot_cols: DenseOwnedMatrix<T>,
    pub pivot_rows: DenseOwnedMatrix<T>,
}

Dense factors derived from a pivot selection.

Contains the pivot block A[I, J], full pivot columns A[:, J], and full pivot rows A[I, :]. These are used to reconstruct the left and right CI factors for the cross interpolation approximation A ~ A[:, J] * A[I, J]^{-1} * A[I, :].

Fields

pivot: DenseOwnedMatrix<T>

Pivot block A[I, J].

pivot_cols: DenseOwnedMatrix<T>

Columns through selected pivot columns A[:, J].

pivot_rows: DenseOwnedMatrix<T>

Rows through selected pivot rows A[I, :].

Implementations

impl<T: Scalar> CrossFactors<T>

pub fn gather<S: CandidateMatrixSource<T>>( source: &S, rows: &[usize], cols: &[usize], ) -> DenseOwnedMatrix<T>

Gather a dense block from a source.

pub fn from_source<S: CandidateMatrixSource<T>>( source: &S, selection: &PivotSelectionCore, ) -> Result<Self>

Reconstruct factors from a source and pivot-only selection.

pub fn pivot_inverse(&self) -> Result<DenseOwnedMatrix<T>>

Invert the pivot block.

pub fn cols_times_pivot_inv(&self) -> Result<DenseOwnedMatrix<T>>

Form A[:, J] * A[I, J]^{-1}.

pub fn pivot_inv_times_rows(&self) -> Result<DenseOwnedMatrix<T>>

Form A[I, J]^{-1} * A[I, :].

Trait Implementations

impl<T: Clone + Scalar> Clone for CrossFactors<T>

fn clone(&self) -> CrossFactors<T>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<T: Debug + Scalar> Debug for CrossFactors<T>

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

Formats the value using the given formatter.