Trait LinearOperator 

pub trait LinearOperator<T>: Send + Sync
where
    T: ComplexField,
{
    // Required methods
    fn num_rows(&self) -> usize;
    fn num_cols(&self) -> usize;
    fn apply(
        &self,
        x: &ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>,
    ) -> ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>;
    fn apply_transpose(
        &self,
        x: &ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>,
    ) -> ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>;

    // Provided methods
    fn apply_hermitian(
        &self,
        x: &ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>,
    ) -> ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>> { ... }
    fn is_square(&self) -> bool { ... }
}

Trait for linear operators (matrices) that can perform matrix-vector products.

This abstraction allows solvers to work with dense matrices, sparse matrices, and matrix-free operators (e.g., FMM) interchangeably.

Required Methods

fn num_rows(&self) -> usize

Number of rows in the operator

fn num_cols(&self) -> usize

Number of columns in the operator

fn apply( &self, x: &ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>, ) -> ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>

Apply the operator: y = A * x

fn apply_transpose( &self, x: &ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>, ) -> ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>

Apply the transpose: y = A^T * x

Provided Methods

fn apply_hermitian( &self, x: &ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>, ) -> ArrayBase<OwnedRepr<T>, Dim<[usize; 1]>>

Apply the Hermitian (conjugate transpose): y = A^H * x

fn is_square(&self) -> bool

Check if the operator is square

Implementors

impl LinearOperator<Complex<f64>> for CsrOperator

impl LinearOperator<Complex<f64>> for DenseOperator

impl LinearOperator<Complex<f64>> for DiagonalPreconditioner

impl LinearOperator<Complex<f64>> for MlfmmOperator

impl LinearOperator<Complex<f64>> for SlfmmOperator

Available on crate features native or wasm only.

impl<T> LinearOperator<T> for CsrMatrix<T>

where T: ComplexField,