Struct lnkit::prelude::linalg::Bidiagonal [−][src]
pub struct Bidiagonal<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>, { /* fields omitted */ }
The bidiagonalization of a general matrix.
Implementations
impl<T, R, C> Bidiagonal<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, C, Const<1_usize>>,
DefaultAllocator: Allocator<T, R, Const<1_usize>>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
[src]
impl<T, R, C> Bidiagonal<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, C, Const<1_usize>>,
DefaultAllocator: Allocator<T, R, Const<1_usize>>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
[src]pub fn new(
matrix: Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>
) -> Bidiagonal<T, R, C>
[src]
matrix: Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>
) -> Bidiagonal<T, R, C>
Computes the Bidiagonal decomposition using householder reflections.
pub fn is_upper_diagonal(&self) -> bool
[src]
Indicates whether this decomposition contains an upper-diagonal matrix.
pub fn unpack(
self
) -> (Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, R, <R as DimMin<C>>::Output>>::Buffer>, Matrix<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output>>::Buffer>, Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer>) where
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output>,
DefaultAllocator: Allocator<T, R, <R as DimMin<C>>::Output>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, C>,
[src]
self
) -> (Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, R, <R as DimMin<C>>::Output>>::Buffer>, Matrix<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output>>::Buffer>, Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer>) where
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output>,
DefaultAllocator: Allocator<T, R, <R as DimMin<C>>::Output>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, C>,
Unpacks this decomposition into its three matrix factors (U, D, V^t)
.
The decomposed matrix M
is equal to U * D * V^t
.
pub fn d(
&self
) -> Matrix<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output>>::Buffer> where
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output>,
[src]
&self
) -> Matrix<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output>>::Buffer> where
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, <R as DimMin<C>>::Output>,
Retrieves the upper trapezoidal submatrix R
of this decomposition.
pub fn u(
&self
) -> Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, R, <R as DimMin<C>>::Output>>::Buffer> where
DefaultAllocator: Allocator<T, R, <R as DimMin<C>>::Output>,
[src]
&self
) -> Matrix<T, R, <R as DimMin<C>>::Output, <DefaultAllocator as Allocator<T, R, <R as DimMin<C>>::Output>>::Buffer> where
DefaultAllocator: Allocator<T, R, <R as DimMin<C>>::Output>,
Computes the orthogonal matrix U
of this U * D * V
decomposition.
pub fn v_t(
&self
) -> Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer> where
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, C>,
[src]
&self
) -> Matrix<T, <R as DimMin<C>>::Output, C, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, C>>::Buffer> where
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, C>,
Computes the orthogonal matrix V_t
of this U * D * V_t
decomposition.
pub fn diagonal(
&self
) -> Matrix<<T as ComplexField>::RealField, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer> where
DefaultAllocator: Allocator<<T as ComplexField>::RealField, <R as DimMin<C>>::Output, Const<1_usize>>,
[src]
&self
) -> Matrix<<T as ComplexField>::RealField, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer> where
DefaultAllocator: Allocator<<T as ComplexField>::RealField, <R as DimMin<C>>::Output, Const<1_usize>>,
The diagonal part of this decomposed matrix.
pub fn off_diagonal(
&self
) -> Matrix<<T as ComplexField>::RealField, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer> where
DefaultAllocator: Allocator<<T as ComplexField>::RealField, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
[src]
&self
) -> Matrix<<T as ComplexField>::RealField, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<<T as ComplexField>::RealField, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer> where
DefaultAllocator: Allocator<<T as ComplexField>::RealField, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
The off-diagonal part of this decomposed matrix.
Trait Implementations
impl<T, R, C> Clone for Bidiagonal<T, R, C> where
C: Clone + Dim,
T: Clone + ComplexField,
R: Clone + DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
[src]
impl<T, R, C> Clone for Bidiagonal<T, R, C> where
C: Clone + Dim,
T: Clone + ComplexField,
R: Clone + DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
[src]pub fn clone(&self) -> Bidiagonal<T, R, C>
[src]
pub fn clone_from(&mut self, source: &Self)
1.0.0[src]
impl<T, R, C> Copy for Bidiagonal<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>: Copy,
Matrix<T, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer>: Copy,
Matrix<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer>: Copy,
[src]
impl<T, R, C> Copy for Bidiagonal<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>: Copy,
Matrix<T, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer>: Copy,
Matrix<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer>: Copy,
[src]impl<T, R, C> Debug for Bidiagonal<T, R, C> where
C: Debug + Dim,
T: Debug + ComplexField,
R: Debug + DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
[src]
impl<T, R, C> Debug for Bidiagonal<T, R, C> where
C: Debug + Dim,
T: Debug + ComplexField,
R: Debug + DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
[src]impl<'de, T, R, C> Deserialize<'de> for Bidiagonal<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>: Deserialize<'de>,
Matrix<T, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer>: Deserialize<'de>,
Matrix<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer>: Deserialize<'de>,
[src]
impl<'de, T, R, C> Deserialize<'de> for Bidiagonal<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>: Deserialize<'de>,
Matrix<T, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer>: Deserialize<'de>,
Matrix<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer>: Deserialize<'de>,
[src]pub fn deserialize<__D>(
__deserializer: __D
) -> Result<Bidiagonal<T, R, C>, <__D as Deserializer<'de>>::Error> where
__D: Deserializer<'de>,
[src]
__deserializer: __D
) -> Result<Bidiagonal<T, R, C>, <__D as Deserializer<'de>>::Error> where
__D: Deserializer<'de>,
impl<T, R, C> Serialize for Bidiagonal<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>: Serialize,
Matrix<T, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer>: Serialize,
Matrix<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer>: Serialize,
[src]
impl<T, R, C> Serialize for Bidiagonal<T, R, C> where
C: Dim,
T: ComplexField,
R: DimMin<C>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
<R as DimMin<C>>::Output: DimSub<Const<1_usize>>,
DefaultAllocator: Allocator<T, R, C>,
DefaultAllocator: Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>,
DefaultAllocator: Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>,
Matrix<T, R, C, <DefaultAllocator as Allocator<T, R, C>>::Buffer>: Serialize,
Matrix<T, <R as DimMin<C>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <R as DimMin<C>>::Output, Const<1_usize>>>::Buffer>: Serialize,
Matrix<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>, <DefaultAllocator as Allocator<T, <<R as DimMin<C>>::Output as DimSub<Const<1_usize>>>::Output, Const<1_usize>>>::Buffer>: Serialize,
[src]pub fn serialize<__S>(
&self,
__serializer: __S
) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error> where
__S: Serializer,
[src]
&self,
__serializer: __S
) -> Result<<__S as Serializer>::Ok, <__S as Serializer>::Error> where
__S: Serializer,
Auto Trait Implementations
impl<T, R, C> !RefUnwindSafe for Bidiagonal<T, R, C>
impl<T, R, C> !RefUnwindSafe for Bidiagonal<T, R, C>
impl<T, R, C> !Send for Bidiagonal<T, R, C>
impl<T, R, C> !Send for Bidiagonal<T, R, C>
impl<T, R, C> !Sync for Bidiagonal<T, R, C>
impl<T, R, C> !Sync for Bidiagonal<T, R, C>
impl<T, R, C> !Unpin for Bidiagonal<T, R, C>
impl<T, R, C> !Unpin for Bidiagonal<T, R, C>
impl<T, R, C> !UnwindSafe for Bidiagonal<T, R, C>
impl<T, R, C> !UnwindSafe for Bidiagonal<T, R, C>
Blanket Implementations
impl<T, U> Cast<U> for T where
U: FromCast<T>,
impl<T, U> Cast<U> for T where
U: FromCast<T>,
pub fn cast(self) -> U
impl<T> Downcast for T where
T: Any,
impl<T> Downcast for T where
T: Any,
impl<T> FromBits<T> for T
impl<T> FromBits<T> for T
pub fn from_bits(t: T) -> T
impl<T> FromCast<T> for T
impl<T> FromCast<T> for T
pub fn from_cast(t: T) -> T
impl<T, U> IntoBits<U> for T where
U: FromBits<T>,
impl<T, U> IntoBits<U> for T where
U: FromBits<T>,
pub fn into_bits(self) -> U
impl<T> Same<T> for T
impl<T> Same<T> for T
type Output = T
Should always be Self
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
pub fn to_subset(&self) -> Option<SS>
pub fn is_in_subset(&self) -> bool
pub fn to_subset_unchecked(&self) -> SS
pub fn from_subset(element: &SS) -> SP
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
impl<V, T> VZip<V> for T where
V: MultiLane<T>,