Struct rin::math::linalg::SymmetricTridiagonal

pub struct SymmetricTridiagonal<N, D> where
    N: ComplexField,
    D: DimSub<U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,  { /* fields omitted */ }

Tridiagonalization of a symmetric matrix.

Implementations

impl<N, D> SymmetricTridiagonal<N, D> where
    N: ComplexField,
    D: DimSub<U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>, 

pub fn new(
    m: Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
) -> SymmetricTridiagonal<N, D>

Computes the tridiagonalization of the symmetric matrix m.

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

pub fn unpack(
    self
) -> (Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>, Matrix<<N as ComplexField>::RealField, D, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, D, U1>>::Buffer>, Matrix<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>>::Buffer>) where
    DefaultAllocator: Allocator<<N as ComplexField>::RealField, D, U1>,
    DefaultAllocator: Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>, 

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

pub fn unpack_tridiagonal(
    self
) -> (Matrix<<N as ComplexField>::RealField, D, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, D, U1>>::Buffer>, Matrix<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>>::Buffer>) where
    DefaultAllocator: Allocator<<N as ComplexField>::RealField, D, U1>,
    DefaultAllocator: Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>, 

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

pub fn diagonal(
    &self
) -> Matrix<<N as ComplexField>::RealField, D, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, D, U1>>::Buffer> where
    DefaultAllocator: Allocator<<N as ComplexField>::RealField, D, U1>, 

The diagonal components of this decomposition.

pub fn off_diagonal(
    &self
) -> Matrix<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>>::Buffer> where
    DefaultAllocator: Allocator<<N as ComplexField>::RealField, <D as DimSub<U1>>::Output, U1>, 

The off-diagonal components of this decomposition.

pub fn q(
    &self
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>

Computes the orthogonal matrix Q of this decomposition.

pub fn recompose(
    self
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>

Recomputes the original symmetric matrix.

Trait Implementations

impl<N, D> Clone for SymmetricTridiagonal<N, D> where
    N: Clone + ComplexField,
    D: Clone + DimSub<U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>, 

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<N, D> Debug for SymmetricTridiagonal<N, D> where
    N: Debug + ComplexField,
    D: Debug + DimSub<U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>, 

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

Formats the value using the given formatter.

impl<'de, N, D> Deserialize<'de> for SymmetricTridiagonal<N, D> where
    N: ComplexField,
    D: DimSub<U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
    Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>: Deserialize<'de>,
    Matrix<N, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<N, <D as DimSub<U1>>::Output, U1>>::Buffer>: Deserialize<'de>, 

pub fn deserialize<__D>(
    __deserializer: __D
) -> Result<SymmetricTridiagonal<N, D>, <__D as Deserializer<'de>>::Error> where
    __D: Deserializer<'de>, 

Deserialize this value from the given Serde deserializer.

impl<N, D> Serialize for SymmetricTridiagonal<N, D> where
    N: ComplexField,
    D: DimSub<U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
    Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>: Serialize,
    Matrix<N, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<N, <D as DimSub<U1>>::Output, U1>>::Buffer>: Serialize, 

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

Serialize this value into the given Serde serializer.

impl<N, D> Copy for SymmetricTridiagonal<N, D> where
    N: ComplexField,
    D: DimSub<U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
    Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>: Copy,
    Matrix<N, <D as DimSub<U1>>::Output, U1, <DefaultAllocator as Allocator<N, <D as DimSub<U1>>::Output, U1>>::Buffer>: Copy,