nalgebra::linalg

Struct SymmetricTridiagonal

Source 
pub struct SymmetricTridiagonal<T: ComplexField, D: DimSub<U1>>
where
    DefaultAllocator: Allocator<D, D> + Allocator<DimDiff<D, U1>>,
{ /* private fields */ }
Expand description

Tridiagonalization of a symmetric matrix.

Implementations§

Source§

impl<T: ComplexField, D: DimSub<U1>> SymmetricTridiagonal<T, D>
where DefaultAllocator: Allocator<D, D> + Allocator<DimDiff<D, U1>>,

Source

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

Computes the tridiagonalization of the symmetric matrix m.

Only the lower-triangular part (including the diagonal) of m is read.

Source

pub fn unpack( self, ) -> (OMatrix<T, D, D>, OVector<T::RealField, D>, OVector<T::RealField, DimDiff<D, U1>>)
where DefaultAllocator: Allocator<D> + Allocator<DimDiff<D, U1>>,

Retrieve the orthogonal transformation, diagonal, and off diagonal elements of this decomposition.

Source

pub fn unpack_tridiagonal( self, ) -> (OVector<T::RealField, D>, OVector<T::RealField, DimDiff<D, U1>>)
where DefaultAllocator: Allocator<D> + Allocator<DimDiff<D, U1>>,

Retrieve the diagonal, and off diagonal elements of this decomposition.

Source

pub fn diagonal(&self) -> OVector<T::RealField, D>
where DefaultAllocator: Allocator<D>,

The diagonal components of this decomposition.

Source

pub fn off_diagonal(&self) -> OVector<T::RealField, DimDiff<D, U1>>
where DefaultAllocator: Allocator<DimDiff<D, U1>>,

The off-diagonal components of this decomposition.

Source

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

Computes the orthogonal matrix Q of this decomposition.

Source

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

Recomputes the original symmetric matrix.

Trait Implementations§

Source§

impl<T: Clone + ComplexField, D: Clone + DimSub<U1>> Clone for SymmetricTridiagonal<T, D>
where DefaultAllocator: Allocator<D, D> + Allocator<DimDiff<D, U1>>,

Source§

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

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<T: Debug + ComplexField, D: Debug + DimSub<U1>> Debug for SymmetricTridiagonal<T, D>
where DefaultAllocator: Allocator<D, D> + Allocator<DimDiff<D, U1>>,

Source§

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

Formats the value using the given formatter. Read more
Source§

impl<'de, T: ComplexField, D: DimSub<U1>> Deserialize<'de> for SymmetricTridiagonal<T, D>
where DefaultAllocator: Allocator<D, D> + Allocator<DimDiff<D, U1>>, OMatrix<T, D, D>: Deserialize<'de>, OVector<T, DimDiff<D, U1>>: Deserialize<'de>,

Source§

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

Deserialize this value from the given Serde deserializer. Read more
Source§

impl<T: ComplexField, D: DimSub<U1>> Serialize for SymmetricTridiagonal<T, D>
where DefaultAllocator: Allocator<D, D> + Allocator<DimDiff<D, U1>>, OMatrix<T, D, D>: Serialize, OVector<T, DimDiff<D, U1>>: Serialize,

Source§

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

Serialize this value into the given Serde serializer. Read more
Source§

impl<T: ComplexField, D: DimSub<U1>> Copy for SymmetricTridiagonal<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§

§

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

§

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

§

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

§

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

§

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

§

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

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> ArchivePointee for T

Source§

type ArchivedMetadata = ()

The archived version of the pointer metadata for this type.
Source§

fn pointer_metadata( _: &<T as ArchivePointee>::ArchivedMetadata, ) -> <T as Pointee>::Metadata

Converts some archived metadata to the pointer metadata for itself.
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<F, W, T, D> Deserialize<With<T, W>, D> for F
where W: DeserializeWith<F, T, D>, D: Fallible + ?Sized, F: ?Sized,

Source§

fn deserialize( &self, deserializer: &mut D, ) -> Result<With<T, W>, <D as Fallible>::Error>

Deserializes using the given deserializer
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> IntoEither for T

Source§

fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
Source§

fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
Source§

impl<T> LayoutRaw for T

Source§

fn layout_raw(_: <T as Pointee>::Metadata) -> Result<Layout, LayoutError>

Gets the layout of the type.
Source§

impl<T> Pointable for T

Source§

const ALIGN: usize = _

The alignment of pointer.
Source§

type Init = T

The type for initializers.
Source§

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
Source§

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
Source§

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
Source§

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
Source§

impl<T> Pointee for T

Source§

type Metadata = ()

The type for metadata in pointers and references to Self.
Source§

impl<T> Same for T

Source§

type Output = T

Should always be Self
Source§

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

Source§

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

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

fn is_in_subset(&self) -> bool

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

fn to_subset_unchecked(&self) -> SS

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

fn from_subset(element: &SS) -> SP

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

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

Source§

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

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

fn is_in_subset(&self) -> bool

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

unsafe fn to_subset_unchecked(&self) -> SS

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

fn from_subset(element: &SS) -> SP

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

Source§

impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,