Struct na::linalg::FullPivLU

pub struct FullPivLU<N, R, C> where
    C: Dim,
    N: ComplexField,
    R: DimMin<C>,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<(usize, usize), <R as DimMin<C>>::Output, U1>,  { /* fields omitted */ }

LU decomposition with full row and column pivoting.

Methods

impl<N, R, C> FullPivLU<N, R, C> where
    C: Dim,
    N: ComplexField,
    R: DimMin<C>,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<(usize, usize), <R as DimMin<C>>::Output, U1>, 

pub fn new(
    matrix: Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
) -> FullPivLU<N, R, C>

Computes the LU decomposition with full pivoting of matrix.

This effectively computes P, L, U, Q such that P * matrix * Q = LU.

pub fn l(
    &self
) -> Matrix<N, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<N, R, <R as DimMin<C>>::Output>>::Buffer> where
    DefaultAllocator: Allocator<N, R, <R as DimMin<C>>::Output>, 

The lower triangular matrix of this decomposition.

pub fn u(
    &self
) -> Matrix<N, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<N, <R as DimMin<C>>::Output, C>>::Buffer> where
    DefaultAllocator: Allocator<N, <R as DimMin<C>>::Output, C>, 

The upper triangular matrix of this decomposition.

pub fn p(&self) -> &PermutationSequence<<R as DimMin<C>>::Output>

The row permutations of this decomposition.

pub fn q(&self) -> &PermutationSequence<<R as DimMin<C>>::Output>

The column permutations of this decomposition.

pub fn unpack(
    self
) -> (PermutationSequence<<R as DimMin<C>>::Output>, Matrix<N, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<N, R, <R as DimMin<C>>::Output>>::Buffer>, Matrix<N, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<N, <R as DimMin<C>>::Output, C>>::Buffer>, PermutationSequence<<R as DimMin<C>>::Output>) where
    DefaultAllocator: Allocator<N, R, <R as DimMin<C>>::Output>,
    DefaultAllocator: Allocator<N, <R as DimMin<C>>::Output, C>, 

The two matrices of this decomposition and the row and column permutations: (P, L, U, Q).

impl<N, D> FullPivLU<N, D, D> where
    D: DimMin<D, Output = D>,
    N: ComplexField,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<(usize, usize), D, U1>, 

pub fn solve<R2, C2, S2>(
    &self,
    b: &Matrix<N, R2, C2, S2>
) -> Option<Matrix<N, R2, C2, <DefaultAllocator as Allocator<N, R2, C2>>::Buffer>> where
    C2: Dim,
    R2: Dim,
    S2: StorageMut<N, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R2, D>,
    DefaultAllocator: Allocator<N, R2, C2>, 

Solves the linear system self * x = b, where x is the unknown to be determined.

Returns None if the decomposed matrix is not invertible.

pub fn solve_mut<R2, C2, S2>(&self, b: &mut Matrix<N, R2, C2, S2>) -> bool where
    C2: Dim,
    R2: Dim,
    S2: StorageMut<N, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R2, D>, 

Solves the linear system self * x = b, where x is the unknown to be determined.

If the decomposed matrix is not invertible, this returns false and its input b may be overwritten with garbage.

pub fn try_inverse(
    &self
) -> Option<Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>>

Computes the inverse of the decomposed matrix.

Returns None if the decomposed matrix is not invertible.

pub fn is_invertible(&self) -> bool

Indicates if the decomposed matrix is invertible.

pub fn determinant(&self) -> N

Computes the determinant of the decomposed matrix.

Trait Implementations

impl<N, R, C> Copy for FullPivLU<N, R, C> where
    C: Dim,
    N: ComplexField,
    R: DimMin<C>,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<(usize, usize), <R as DimMin<C>>::Output, U1>,
    Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>: Copy,
    PermutationSequence<<R as DimMin<C>>::Output>: Copy, 

impl<N, R, C> Clone for FullPivLU<N, R, C> where
    C: Dim + Clone,
    N: Clone + ComplexField,
    R: DimMin<C> + Clone,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<(usize, usize), <R as DimMin<C>>::Output, U1>, 

fn clone(&self) -> FullPivLU<N, R, C>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<N, R, C> Debug for FullPivLU<N, R, C> where
    C: Dim + Debug,
    N: Debug + ComplexField,
    R: DimMin<C> + Debug,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<(usize, usize), <R as DimMin<C>>::Output, U1>, 

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

Formats the value using the given formatter.