Struct linfa_linalg::qr::QRDecomp

source ·
pub struct QRDecomp<A, S: DataMut<Elem = A>> { /* private fields */ }
Expand description

Compact representation of a QR decomposition. Can be used to yield the Q and R matrices or to calculate the inverse or solve a system.

Implementations§

source§

impl<A: NdFloat, S: DataMut<Elem = A>> QRDecomp<A, S>

source

pub fn generate_q(&self) -> Array2<A>

Generate semi-orthogonal Q matrix

source

pub fn into_r(self) -> ArrayBase<S, Ix2>

Consumes self to generate the upper-triangular R matrix

source

pub fn into_decomp(self) -> (Array2<A>, ArrayBase<S, Ix2>)

Generate both Q and R

source

pub fn solve_into<Si: DataMut<Elem = A>>( &self, b: ArrayBase<Si, Ix2>, ) -> Result<ArrayBase<Si, Ix2>>

Solves A * x = b, where A is the original matrix. Used to calculate least squares for “thin” matrices (rows >= cols).

source

pub fn solve_tr_into<Si: DataMut<Elem = A>>( &self, b: ArrayBase<Si, Ix2>, ) -> Result<Array2<A>>

Solves A.t * x = b, where A is the original matrix. Used to calculate least squares for “wide” matrices (rows < cols).

source

pub fn solve<Si: Data<Elem = A>>( &self, b: &ArrayBase<Si, Ix2>, ) -> Result<Array2<A>>

Solves A * x = b, where A is the original matrix.

source

pub fn solve_tr<Si: Data<Elem = A>>( &self, b: &ArrayBase<Si, Ix2>, ) -> Result<Array2<A>>

Solves A.t * x = b, where A is the original matrix.

source

pub fn is_invertible(&self) -> bool

Checks if original matrix is invertible.

source

pub fn inverse(&self) -> Result<Array2<A>>

Produce the inverse of the original matrix, if it’s invertible.

Trait Implementations§

source§

impl<A: Clone, S: DataMut<Elem = A> + RawDataClone> Clone for QRDecomp<A, S>

source§

fn clone(&self) -> Self

Returns a copy of the value. Read more
1.0.0 · source§

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

Performs copy-assignment from source. Read more
source§

impl<A: Debug, S: Debug + DataMut<Elem = A>> Debug for QRDecomp<A, S>

source§

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

Formats the value using the given formatter. Read more

Auto Trait Implementations§

§

impl<A, S> Freeze for QRDecomp<A, S>
where S: Freeze,

§

impl<A, S> RefUnwindSafe for QRDecomp<A, S>

§

impl<A, S> Send for QRDecomp<A, S>
where S: Send, A: Send,

§

impl<A, S> Sync for QRDecomp<A, S>
where S: Sync, A: Sync,

§

impl<A, S> Unpin for QRDecomp<A, S>
where S: Unpin,

§

impl<A, S> UnwindSafe for QRDecomp<A, S>

Blanket Implementations§

source§

impl<T> Any for T
where T: 'static + ?Sized,

source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
source§

impl<T> Borrow<T> for T
where T: ?Sized,

source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
source§

impl<T> BorrowMut<T> for T
where T: ?Sized,

source§

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
source§

impl<T> CloneToUninit for T
where T: Clone,

source§

unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
source§

impl<T> From<T> for T

source§

fn from(t: T) -> T

Returns the argument unchanged.

source§

impl<T, U> Into<U> for T
where U: From<T>,

source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

source§

impl<T> ToOwned for T
where T: Clone,

source§

type Owned = T

The resulting type after obtaining ownership.
source§

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
source§

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
source§

impl<T, U> TryFrom<U> for T
where U: Into<T>,

source§

type Error = Infallible

The type returned in the event of a conversion error.
source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

source§

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

The type returned in the event of a conversion error.
source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
source§

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

source§

fn vzip(self) -> V