Struct HankelMatrix 

pub struct HankelMatrix<A>
where
    A: Float + NumAssign + Zero + Sum + One + ScalarOperand + Send + Sync + Debug,
{ /* private fields */ }

Hankel matrix implementation

A Hankel matrix is represented by its first column and last row, where the last element of the first column must be the same as the first element of the last row.

Implementations

impl<A> HankelMatrix<A>

where A: Float + NumAssign + Zero + Sum + One + ScalarOperand + Send + Sync + Debug,

pub fn new( _first_col: ArrayView1<'_, A>, lastrow: ArrayView1<'_, A>, ) -> LinalgResult<Self>

Create a new Hankel matrix from its first column and last row

The last element of the first column must be the same as the first element of the last row.

Arguments

• first_col - First column of the Hankel matrix
• last_row - Last row of the Hankel matrix

Returns

A new HankelMatrix instance

pub fn from_sequence( sequence: ArrayView1<'_, A>, n_rows: usize, n_cols: usize, ) -> LinalgResult<Self>

Create a new Hankel matrix from a single sequence

The sequence will be used to form both the first column and last row.

Arguments

• sequence - The sequence forming the Hankel matrix
• n_rows - Number of rows in the resulting matrix
• n_cols - Number of columns in the resulting matrix

Returns

A new HankelMatrix instance

Trait Implementations

impl<A> Clone for HankelMatrix<A>

where A: Float + NumAssign + Zero + Sum + One + ScalarOperand + Send + Sync + Debug + Clone,

fn clone(&self) -> HankelMatrix<A>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<A> Debug for HankelMatrix<A>

where A: Float + NumAssign + Zero + Sum + One + ScalarOperand + Send + Sync + Debug + Debug,

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

Formats the value using the given formatter.

impl<A> StructuredMatrix<A> for HankelMatrix<A>

where A: Float + NumAssign + Zero + Sum + One + ScalarOperand + Send + Sync + Debug,

fn nrows(&self) -> usize

Returns the number of rows in the matrix

fn ncols(&self) -> usize

Returns the number of columns in the matrix

fn get(&self, i: usize, j: usize) -> LinalgResult<A>

Returns the element at position (i, j)

fn matvec(&self, x: &ArrayView1<'_, A>) -> LinalgResult<Array1<A>>

Multiply the matrix by a vector (matrix-vector product)

fn matvec_transpose(&self, x: &ArrayView1<'_, A>) -> LinalgResult<Array1<A>>

Multiply the transpose of the matrix by a vector

fn shape(&self) -> (usize, usize)

Returns the shape of the matrix as (rows, cols)

fn to_dense(&self) -> LinalgResult<Array2<A>>

Convert the structured matrix to a dense ndarray representation

fn to_operator(&self) -> LinearOperator<A>

where Self: Clone + Send + Sync + 'static,

Create a matrix-free operator from this structured matrix