Struct aljabar::LU

pub struct LU<T, const N: usize>(_, _);

The result of LU factorizing a square matrix with partial-pivoting.

Implementations

impl<T, const N: usize> LU<T, { N }> where
    T: Clone + PartialEq + One + Zero + Product + Neg<Output = T> + Sub<T, Output = T> + Mul<T, Output = T> + Div<T, Output = T>, 

pub fn p(&self) -> &Permutation<{ N }>

Returns the permutation sequence of the factorization.

pub fn solve(&self, b: Vector<T, { N }>) -> Vector<T, { N }>

Solves the linear equation self * x = b and returns x.

pub fn determinant(&self) -> T

Returns the determinant of the matrix.

pub fn invert(self) -> Matrix<T, { N }, { N }>

Returns the inverse of the matrix, which is certain to exist.

Trait Implementations

impl<T: Clone, const N: usize> Clone for LU<T, N>

fn clone(&self) -> LU<T, N>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Copy, const N: usize> Copy for LU<T, N>

impl<T: Debug, const N: usize> Debug for LU<T, N>

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

Formats the value using the given formatter.

impl<T, const N: usize> Index<(usize, usize)> for LU<T, { N }>

type Output = T

The returned type after indexing.

fn index(&self, (row, column): (usize, usize)) -> &Self::Output

Performs the indexing (container[index]) operation.