[][src]Struct nalgebra::linalg::QR

pub struct QR<N: ComplexField, R: DimMin<C>, C: Dim> where
    DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>, 
{ /* fields omitted */ }

The QR decomposition of a general matrix.

Methods

impl<N: ComplexField, R: DimMin<C>, C: Dim> QR<N, R, C> where
    DefaultAllocator: Allocator<N, R, C> + Allocator<N, R> + Allocator<N, DimMinimum<R, C>>, 
[src]

pub fn new(matrix: MatrixMN<N, R, C>) -> Self[src]

Computes the QR decomposition using householder reflections.

pub fn r(&self) -> MatrixMN<N, DimMinimum<R, C>, C> where
    DefaultAllocator: Allocator<N, DimMinimum<R, C>, C>, 
[src]

Retrieves the upper trapezoidal submatrix R of this decomposition.

pub fn unpack_r(self) -> MatrixMN<N, DimMinimum<R, C>, C> where
    DefaultAllocator: Reallocator<N, R, C, DimMinimum<R, C>, C>, 
[src]

Retrieves the upper trapezoidal submatrix R of this decomposition.

This is usually faster than r but consumes self.

pub fn q(&self) -> MatrixMN<N, R, DimMinimum<R, C>> where
    DefaultAllocator: Allocator<N, R, DimMinimum<R, C>>, 
[src]

Computes the orthogonal matrix Q of this decomposition.

pub fn unpack(
    self
) -> (MatrixMN<N, R, DimMinimum<R, C>>, MatrixMN<N, DimMinimum<R, C>, C>) where
    DimMinimum<R, C>: DimMin<C, Output = DimMinimum<R, C>>,
    DefaultAllocator: Allocator<N, R, DimMinimum<R, C>> + Reallocator<N, R, C, DimMinimum<R, C>, C>, 
[src]

Unpacks this decomposition into its two matrix factors.

pub fn q_tr_mul<R2: Dim, C2: Dim, S2>(&self, rhs: &mut Matrix<N, R2, C2, S2>) where
    S2: StorageMut<N, R2, C2>, 
[src]

Multiplies the provided matrix by the transpose of the Q matrix of this decomposition.

impl<N: ComplexField, D: DimMin<D, Output = D>> QR<N, D, D> where
    DefaultAllocator: Allocator<N, D, D> + Allocator<N, D>, 
[src]

pub fn solve<R2: Dim, C2: Dim, S2>(
    &self,
    b: &Matrix<N, R2, C2, S2>
) -> Option<MatrixMN<N, R2, C2>> where
    S2: Storage<N, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R2, D>,
    DefaultAllocator: Allocator<N, R2, C2>, 
[src]

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

Returns None if self is not invertible.

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

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 is overwritten with garbage.

pub fn try_inverse(&self) -> Option<MatrixN<N, D>>[src]

Computes the inverse of the decomposed matrix.

Returns None if the decomposed matrix is not invertible.

pub fn is_invertible(&self) -> bool[src]

Indicates if the decomposed matrix is invertible.

Trait Implementations

impl<N: Clone + ComplexField, R: Clone + DimMin<C>, C: Clone + Dim> Clone for QR<N, R, C> where
    DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>, 
[src]

impl<N: ComplexField, R: DimMin<C>, C: Dim> Copy for QR<N, R, C> where
    DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>,
    MatrixMN<N, R, C>: Copy,
    VectorN<N, DimMinimum<R, C>>: Copy
[src]

impl<N: Debug + ComplexField, R: Debug + DimMin<C>, C: Debug + Dim> Debug for QR<N, R, C> where
    DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>, 
[src]

impl<'de, N: ComplexField, R: DimMin<C>, C: Dim> Deserialize<'de> for QR<N, R, C> where
    DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>,
    DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>,
    MatrixMN<N, R, C>: Deserialize<'de>,
    VectorN<N, DimMinimum<R, C>>: Deserialize<'de>, 
[src]

impl<N: ComplexField, R: DimMin<C>, C: Dim> Serialize for QR<N, R, C> where
    DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>,
    DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>,
    MatrixMN<N, R, C>: Serialize,
    VectorN<N, DimMinimum<R, C>>: Serialize
[src]

Auto Trait Implementations

impl<N, R, C> !RefUnwindSafe for QR<N, R, C>

impl<N, R, C> !Send for QR<N, R, C>

impl<N, R, C> !Sync for QR<N, R, C>

impl<N, R, C> !Unpin for QR<N, R, C>

impl<N, R, C> !UnwindSafe for QR<N, R, C>

Blanket Implementations

impl<T> Any for T where
    T: 'static + ?Sized
[src]

impl<T> Borrow<T> for T where
    T: ?Sized
[src]

impl<T> BorrowMut<T> for T where
    T: ?Sized
[src]

impl<T> From<T> for T[src]

impl<T, U> Into<U> for T where
    U: From<T>, 
[src]

impl<T> Same<T> for T

type Output = T

Should always be Self

impl<SS, SP> SupersetOf<SS> for SP where
    SS: SubsetOf<SP>, 

impl<T> ToOwned for T where
    T: Clone
[src]

type Owned = T

The resulting type after obtaining ownership.

impl<T, U> TryFrom<U> for T where
    U: Into<T>, 
[src]

type Error = Infallible

The type returned in the event of a conversion error.

impl<T, U> TryInto<U> for T where
    U: TryFrom<T>, 
[src]

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.

impl<V, T> VZip<V> for T where
    V: MultiLane<T>,