nalgebra::linalg

Struct Hessenberg

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pub struct Hessenberg<T: ComplexField, D: DimSub<U1>>{ /* private fields */ }
Expand description

Hessenberg decomposition of a general matrix.

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impl<T: ComplexField, D: DimSub<U1>> Hessenberg<T, D>

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pub fn new(hess: OMatrix<T, D, D>) -> Self

Computes the Hessenberg decomposition using householder reflections.

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pub fn new_with_workspace( hess: OMatrix<T, D, D>, work: &mut OVector<T, D>, ) -> Self

Computes the Hessenberg decomposition using householder reflections.

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

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pub fn unpack(self) -> (OMatrix<T, D, D>, OMatrix<T, D, D>)

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

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pub fn unpack_h(self) -> OMatrix<T, D, D>

Retrieves the upper trapezoidal submatrix H of this decomposition.

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pub fn h(&self) -> OMatrix<T, D, D>

Retrieves the upper trapezoidal submatrix H of this decomposition.

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

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pub fn q(&self) -> OMatrix<T, D, D>

Computes the orthogonal matrix Q of this decomposition.

Trait Implementations§

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impl<T: Clone + ComplexField, D: Clone + DimSub<U1>> Clone for Hessenberg<T, D>

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fn clone(&self) -> Hessenberg<T, D>

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<T: Debug + ComplexField, D: Debug + DimSub<U1>> Debug for Hessenberg<T, D>

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

Formats the value using the given formatter. Read more
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impl<'de, T: ComplexField, D: DimSub<U1>> Deserialize<'de> for Hessenberg<T, D>
where DefaultAllocator: Allocator<D, D> + Allocator<DimDiff<D, U1>>, OMatrix<T, D, D>: Deserialize<'de>, OVector<T, DimDiff<D, U1>>: Deserialize<'de>,

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fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl<T: ComplexField, D: DimSub<U1>> Serialize for Hessenberg<T, D>

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fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl<T: ComplexField, D: DimSub<U1>> Copy for Hessenberg<T, D>
where DefaultAllocator: Allocator<D, D> + Allocator<DimDiff<D, U1>>, OMatrix<T, D, D>: Copy, OVector<T, DimDiff<D, U1>>: Copy,

Auto Trait Implementations§

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impl<T, D> !Freeze for Hessenberg<T, D>

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impl<T, D> !RefUnwindSafe for Hessenberg<T, D>

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impl<T, D> !Send for Hessenberg<T, D>

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impl<T, D> !Sync for Hessenberg<T, D>

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impl<T, D> !Unpin for Hessenberg<T, D>

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impl<T, D> !UnwindSafe for Hessenberg<T, D>

Blanket Implementations§

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

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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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
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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

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fn into(self) -> U

Calls U::from(self).

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

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impl<T> Same for T

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type Output = T

Should always be Self
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impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,