Struct FredholmMatrixOperator 

pub struct FredholmMatrixOperator<const P: usize, const Q: usize, const R: usize> { /* private fields */ }

Wrapper to mark a matrix operator as Fredholm.

Implementations

impl<const P: usize, const Q: usize, const R: usize> FredholmMatrixOperator<P, Q, R>

pub fn new(matrix: MatrixOperator<P, Q, R>) -> Result<Self>

Create a Fredholm operator from a matrix.

Computes the kernel and cokernel dimensions.

pub fn matrix(&self) -> &MatrixOperator<P, Q, R>

Get the underlying matrix.

Trait Implementations

impl<const P: usize, const Q: usize, const R: usize> BoundedOperator<Multivector<P, Q, R>> for FredholmMatrixOperator<P, Q, R>

fn operator_norm(&self) -> f64

Compute or estimate the operator norm ||T||.

fn is_bounded_by(&self, bound: f64) -> bool

Check if the operator is bounded by a given constant.

impl<const P: usize, const Q: usize, const R: usize> Clone for FredholmMatrixOperator<P, Q, R>

fn clone(&self) -> FredholmMatrixOperator<P, Q, R>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<const P: usize, const Q: usize, const R: usize> Debug for FredholmMatrixOperator<P, Q, R>

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

Formats the value using the given formatter.

impl<const P: usize, const Q: usize, const R: usize> FredholmOperator<Multivector<P, Q, R>> for FredholmMatrixOperator<P, Q, R>

fn kernel_dimension(&self) -> usize

Compute the dimension of the kernel.

fn cokernel_dimension(&self) -> usize

Compute the dimension of the cokernel.

fn index(&self) -> i64

Compute the Fredholm index: dim(ker T) - dim(coker T).

fn is_isomorphism(&self) -> bool

Check if the operator is an isomorphism (index 0, trivial kernel).

impl<const P: usize, const Q: usize, const R: usize> LinearOperator<Multivector<P, Q, R>> for FredholmMatrixOperator<P, Q, R>

fn apply(&self, x: &Multivector<P, Q, R>) -> Result<Multivector<P, Q, R>>

Apply the operator to an element.

fn domain_dimension(&self) -> Option<usize>

Get the domain dimension (None if infinite).

fn codomain_dimension(&self) -> Option<usize>

Get the codomain dimension (None if infinite).