Struct rulinalg::matrix::decomposition::QR

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pub struct QR<T> {
    pub q: Matrix<T>,
    pub r: Matrix<T>,
}

Expand description

The result of unpacking a QR decomposition.

Let A denote the m x n matrix given by A = QR. Then Q is an m x m orthogonal matrix, and R is an m x n upper trapezoidal matrix .

More precisely, if m > n, then we have the decomposition

A = QR = Q [ R1 ]
           [  0 ]

where R1 is an n x n upper triangular matrix. On the other hand, if m < n, we have

A = QR = Q [ R1 R2 ]

where R1 is an m x m upper triangular matrix and R2 is an m x (n - m) general matrix.

To actually compute the QR decomposition, see Householder QR.

Fields

q: Matrix<T>

The orthogonal matrix Q in the decomposition A = QR.

r: Matrix<T>

The upper-trapezoidal matrix R in the decomposition A = QR.

Trait Implementations

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impl<T: Clone> Clone for QR<T>

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fn clone(&self) -> QR<T>

Returns a copy of the value. Read more

1.0.0

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

Performs copy-assignment from source. Read more

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impl<T: Debug> Debug for QR<T>

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

Formats the value using the given formatter. Read more

Auto Trait Implementations

impl<T> RefUnwindSafe for QR<T>where
T: RefUnwindSafe,

impl<T> Send for QR<T>where
T: Send,

impl<T> Sync for QR<T>where
T: Sync,

impl<T> Unpin for QR<T>where
T: Unpin,

impl<T> UnwindSafe for QR<T>where
T: UnwindSafe,

Blanket Implementations

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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

const: unstable

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

const: unstable

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

Mutably borrows from an owned value. Read more

impl<T> From<T> for T

const: unstable

fn from(t: T) -> T

Returns the argument unchanged.

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

const: unstable

fn into(self) -> U

Calls U::from(self).

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

impl<T> ToOwned for Twhere
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

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

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

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

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

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable

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

Performs the conversion.

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

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable

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

Performs the conversion.

Struct rulinalg::matrix::decomposition::QR

Fields

Trait Implementations

impl<T: Clone> Clone for QR<T>

fn clone(&self) -> QR<T>

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

impl<T: Debug> Debug for QR<T>

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

Auto Trait Implementations

impl<T> RefUnwindSafe for QR<T>where
T: RefUnwindSafe,

impl<T> Send for QR<T>where
T: Send,

impl<T> Sync for QR<T>where
T: Sync,

impl<T> Unpin for QR<T>where
T: Unpin,

impl<T> UnwindSafe for QR<T>where
T: UnwindSafe,

Blanket Implementations

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

fn type_id(&self) -> TypeId

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

fn borrow(&self) -> &T

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

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

impl<T> From<T> for T

fn from(t: T) -> T

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

fn into(self) -> U

impl<T> ToOwned for Twhere
T: Clone,

type Owned = T

fn to_owned(&self) -> T

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

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

type Error = Infallible

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

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

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

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

Struct rulinalg::matrix::decomposition::QR

Fields

Trait Implementations

impl<T: Clone> Clone for QR<T>

fn clone(&self) -> QR<T>

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

impl<T: Debug> Debug for QR<T>

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

Auto Trait Implementations

impl<T> RefUnwindSafe for QR<T>where T: RefUnwindSafe,

impl<T> Send for QR<T>where T: Send,

impl<T> Sync for QR<T>where T: Sync,

impl<T> Unpin for QR<T>where T: Unpin,

impl<T> UnwindSafe for QR<T>where T: UnwindSafe,

Blanket Implementations

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

fn type_id(&self) -> TypeId

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

fn borrow(&self) -> &T

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

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

impl<T> From<T> for T

fn from(t: T) -> T

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

fn into(self) -> U

impl<T> ToOwned for Twhere T: Clone,

type Owned = T

fn to_owned(&self) -> T

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

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

type Error = Infallible

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

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

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

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

impl<T> RefUnwindSafe for QR<T>where
T: RefUnwindSafe,

impl<T> Send for QR<T>where
T: Send,

impl<T> Sync for QR<T>where
T: Sync,

impl<T> Unpin for QR<T>where
T: Unpin,

impl<T> UnwindSafe for QR<T>where
T: UnwindSafe,

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

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

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

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

impl<T> ToOwned for Twhere
T: Clone,

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

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