Struct Bidiagonal

pub struct Bidiagonal<T: ComplexField, R: DimMin<C>, C: Dim>
where
    DimMinimum<R, C>: DimSub<U1>,
    DefaultAllocator: Allocator<R, C> + Allocator<DimMinimum<R, C>> + Allocator<DimDiff<DimMinimum<R, C>, U1>>,
{ /* private fields */ }

The bidiagonalization of a general matrix.

Implementations

impl<T: ComplexField, R: DimMin<C>, C: Dim> Bidiagonal<T, R, C>

where DimMinimum<R, C>: DimSub<U1>, DefaultAllocator: Allocator<R, C> + Allocator<C> + Allocator<R> + Allocator<DimMinimum<R, C>> + Allocator<DimDiff<DimMinimum<R, C>, U1>>,

pub fn new(matrix: OMatrix<T, R, C>) -> Self

Computes the Bidiagonal decomposition using householder reflections.

pub fn is_upper_diagonal(&self) -> bool

Indicates whether this decomposition contains an upper-diagonal matrix.

pub fn unpack( self, ) -> (OMatrix<T, R, DimMinimum<R, C>>, OMatrix<T, DimMinimum<R, C>, DimMinimum<R, C>>, OMatrix<T, DimMinimum<R, C>, C>)

where DefaultAllocator: Allocator<DimMinimum<R, C>, DimMinimum<R, C>> + Allocator<R, DimMinimum<R, C>> + Allocator<DimMinimum<R, C>, 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) -> OMatrix<T, DimMinimum<R, C>, DimMinimum<R, C>>

where DefaultAllocator: Allocator<DimMinimum<R, C>, DimMinimum<R, C>>,

Retrieves the upper trapezoidal submatrix R of this decomposition.

pub fn u(&self) -> OMatrix<T, R, DimMinimum<R, C>>

where DefaultAllocator: Allocator<R, DimMinimum<R, C>>,

Computes the orthogonal matrix U of this U * D * V decomposition.

pub fn v_t(&self) -> OMatrix<T, DimMinimum<R, C>, C>

where DefaultAllocator: Allocator<DimMinimum<R, C>, C>,

Computes the orthogonal matrix V_t of this U * D * V_t decomposition.

pub fn diagonal(&self) -> OVector<T::RealField, DimMinimum<R, C>>

where DefaultAllocator: Allocator<DimMinimum<R, C>>,

The diagonal part of this decomposed matrix.

pub fn off_diagonal( &self, ) -> OVector<T::RealField, DimDiff<DimMinimum<R, C>, U1>>

where DefaultAllocator: Allocator<DimDiff<DimMinimum<R, C>, U1>>,

The off-diagonal part of this decomposed matrix.

Trait Implementations

impl<T: Clone + ComplexField, R: Clone + DimMin<C>, C: Clone + Dim> Clone for Bidiagonal<T, R, C>

where DimMinimum<R, C>: DimSub<U1>, DefaultAllocator: Allocator<R, C> + Allocator<DimMinimum<R, C>> + Allocator<DimDiff<DimMinimum<R, C>, U1>>,

fn clone(&self) -> Bidiagonal<T, R, C>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<T: Debug + ComplexField, R: Debug + DimMin<C>, C: Debug + Dim> Debug for Bidiagonal<T, R, C>

where DimMinimum<R, C>: DimSub<U1>, DefaultAllocator: Allocator<R, C> + Allocator<DimMinimum<R, C>> + Allocator<DimDiff<DimMinimum<R, C>, U1>>,

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

Formats the value using the given formatter.

impl<'de, T: ComplexField, R: DimMin<C>, C: Dim> Deserialize<'de> for Bidiagonal<T, R, C>

where DimMinimum<R, C>: DimSub<U1>, DefaultAllocator: Allocator<R, C> + Allocator<DimMinimum<R, C>> + Allocator<DimDiff<DimMinimum<R, C>, U1>>, OMatrix<T, R, C>: Deserialize<'de>, OVector<T, DimMinimum<R, C>>: Deserialize<'de>, OVector<T, DimDiff<DimMinimum<R, C>, U1>>: Deserialize<'de>,

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<T: ComplexField, R: DimMin<C>, C: Dim> Serialize for Bidiagonal<T, R, C>

where DimMinimum<R, C>: DimSub<U1>, DefaultAllocator: Allocator<R, C> + Allocator<DimMinimum<R, C>> + Allocator<DimDiff<DimMinimum<R, C>, U1>>, OMatrix<T, R, C>: Serialize, OVector<T, DimMinimum<R, C>>: Serialize, OVector<T, DimDiff<DimMinimum<R, C>, U1>>: Serialize,

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

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<T: ComplexField, R: DimMin<C>, C: Dim> Copy for Bidiagonal<T, R, C>

where DimMinimum<R, C>: DimSub<U1>, DefaultAllocator: Allocator<R, C> + Allocator<DimMinimum<R, C>> + Allocator<DimDiff<DimMinimum<R, C>, U1>>, OMatrix<T, R, C>: Copy, OVector<T, DimMinimum<R, C>>: Copy, OVector<T, DimDiff<DimMinimum<R, C>, U1>>: Copy,