Trait array_matrix::matrix::inv::MInv

pub trait MInv: SquareMatrixwhere
    Self::Output: SquareMatrix,{
    type Output;

    fn inv(&self) -> Option<Self::Output>;
}

Required Associated Types

type Output

Required Methods

fn inv(&self) -> Option<Self::Output>

Returns the inverted matrix if the matrix is non-singular

A⁻¹

Examples

// Returns none if matrix is singular
let a = [
    [1.0, 2.0],
    [2.0, 4.0]
];
assert_eq!(a.inv(), None);
 
// Otherwise equals adjunct matrix divided by determinant
let a = [
    [1.0, 2.0],
    [3.0, 4.0]
];
let ai = a.adj().dot(a.det().recip());
assert_eq!(a.inv(), Some(ai));

Implementors

impl<F, M> MInv for Mwhere
    F: Inv<Output = F> + Zero,
    Self: Adj + Det<Output = F>,
    <Self as Adj>::Output: MMul<F>,
    <<Self as Adj>::Output as MMul<F>>::Output: SquareMatrix,

type Output = <<M as Adj>::Output as MMul<F>>::Output