# [−][src]Struct nalgebra::linalg::Hessenberg

    pub struct Hessenberg<N: ComplexField, D: DimSub<U1>> where
        DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>,  { /* fields omitted */ }

Hessenberg decomposition of a general matrix.

## Methods

### `impl<N: ComplexField, D: DimSub<U1>> Hessenberg<N, D> where
DefaultAllocator: Allocator<N, D, D> + Allocator<N, D> + Allocator<N, DimDiff<D, U1>>,` [src]

#### `pub fn new(hess: MatrixN<N, D>) -> Self`[src]

Computes the Hessenberg decomposition using householder reflections.

#### `pub fn new_with_workspace(hess: MatrixN<N, D>, work: &mut VectorN<N, D>) -> Self`[src]

Computes the Hessenberg decomposition using householder reflections.

The workspace containing `D` elements must be provided but its content does not have to be initialized.

#### `pub fn unpack(self) -> (MatrixN<N, D>, MatrixN<N, D>)`[src]

Retrieves `(q, h)` with `q` the orthogonal matrix of this decomposition and `h` the hessenberg matrix.

#### `pub fn unpack_h(self) -> MatrixN<N, D>`[src]

Retrieves the upper trapezoidal submatrix `H` of this decomposition.

#### `pub fn h(&self) -> MatrixN<N, D>`[src]

Retrieves the upper trapezoidal submatrix `H` of this decomposition.

This is less efficient than `.unpack_h()` as it allocates a new matrix.

#### `pub fn q(&self) -> MatrixN<N, D>`[src]

Computes the orthogonal matrix `Q` of this decomposition.

## Trait Implementations

### `impl<N: Clone + ComplexField, D: Clone + DimSub<U1>> Clone for Hessenberg<N, D> where
DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>,` [src]

#### `fn clone(&self) -> Hessenberg<N, D>`[src]

Returns a copy of the value. Read more

#### `fn clone_from(&mut self, source: &Self)`1.0.0[src]

Performs copy-assignment from `source`. Read more

### `impl<N: ComplexField, D: DimSub<U1>> Copy for Hessenberg<N, D> where
DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>,
MatrixN<N, D>: Copy,
VectorN<N, DimDiff<D, U1>>: Copy,` [src]

### `impl<N: Debug + ComplexField, D: Debug + DimSub<U1>> Debug for Hessenberg<N, D> where
DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>,` [src]

#### `fn fmt(&self, f: &mut Formatter) -> Result`[src]

Formats the value using the given formatter. Read more

## Auto Trait Implementations

### `impl<N, D> !Send for Hessenberg<N, D>`

### `impl<N, D> !Unpin for Hessenberg<N, D>`

### `impl<N, D> !Sync for Hessenberg<N, D>`

### `impl<N, D> !UnwindSafe for Hessenberg<N, D>`

### `impl<N, D> !RefUnwindSafe for Hessenberg<N, D>`

## Blanket Implementations

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

#### `type Owned = T`

The resulting type after obtaining ownership.

#### `fn to_owned(&self) -> T`[src]

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

#### `fn clone_into(&self, target: &mut T)`[src]

🔬 This is a nightly-only experimental API. (`toowned_clone_into`)

recently added

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

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

#### `fn into(self) -> U`[src]

Performs the conversion.

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

#### `fn from(t: T) -> T`[src]

Performs the conversion.

### `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.

#### `fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>`[src]

Performs the conversion.

### `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.

#### `fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>`[src]

Performs the conversion.

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

#### `fn borrow_mut(&mut self) -> &mut T`[src]

Mutably borrows from an owned value. Read more

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

#### `fn borrow(&self) -> &T`[src]

Immutably borrows from an owned value. Read more

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

#### `fn type_id(&self) -> TypeId`[src]

Gets the `TypeId` of `self`. Read more

### `impl<T> Same<T> for T`[src]

#### `type Output = T`

Should always be `Self`

### `impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,` [src]

#### `fn to_subset(&self) -> Option<SS>`[src]

The inverse inclusion map: attempts to construct `self` from the equivalent element of its superset. Read more

#### `fn is_in_subset(&self) -> bool`[src]

Checks if `self` is actually part of its subset `T` (and can be converted to it).

#### `unsafe fn to_subset_unchecked(&self) -> SS`[src]

Use with care! Same as `self.to_subset` but without any property checks. Always succeeds.

#### `fn from_subset(element: &SS) -> SP`[src]

The inclusion map: converts `self` to the equivalent element of its superset.

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