Struct nalgebra::linalg::RealSchur

pub struct RealSchur<N: Real, D: Dim> where
    DefaultAllocator: Allocator<N, D, D>,  { /* fields omitted */ }

Real Schur decomposition of a square matrix.

Methods

impl<N: Real, D: Dim> RealSchur<N, D> where     D: DimSub<U1>,     ShapeConstraint: DimEq<Dynamic, DimDiff<D, U1>>,     DefaultAllocator: Allocator<N, D, DimDiff<D, U1>> + Allocator<N, DimDiff<D, U1>> + Allocator<N, D, D> + Allocator<N, D>,

pub fn new(m: MatrixN<N, D>) -> RealSchur<N, D>

Computes the Schur decomposition of a square matrix.

pub fn try_new(     m: MatrixN<N, D>,     eps: N,     max_niter: usize ) -> Option<RealSchur<N, D>>

Attempts to compute the Schur decomposition of a square matrix.

If only eigenvalues are needed, it is more efficient to call the matrix method .eigenvalues() instead.

Arguments

• eps − tolerance used to determine when a value converged to 0.
• max_niter − maximum total number of iterations performed by the algorithm. If this number of iteration is exceeded, None is returned. If niter == 0, then the algorithm continues indefinitely until convergence.

pub fn unpack(self) -> (MatrixN<N, D>, MatrixN<N, D>)

Retrieves the unitary matrix Q and the upper-quasitriangular matrix T such that the decomposed matrix equals Q * T * Q.transpose().

pub fn eigenvalues(&self) -> Option<VectorN<N, D>>

Computes the real eigenvalues of the decomposed matrix.

Return None if some eigenvalues are complex.

pub fn complex_eigenvalues(&self) -> VectorN<Complex<N>, D> where     DefaultAllocator: Allocator<Complex<N>, D>,

Computes the complex eigenvalues of the decomposed matrix.

Trait Implementations

impl<N: Clone + Real, D: Clone + Dim> Clone for RealSchur<N, D> where     DefaultAllocator: Allocator<N, D, D>,

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<N: Real, D: Dim> Copy for RealSchur<N, D> where     DefaultAllocator: Allocator<N, D, D>,     MatrixN<N, D>: Copy,

impl<N: Debug + Real, D: Debug + Dim> Debug for RealSchur<N, D> where     DefaultAllocator: Allocator<N, D, D>,

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

Formats the value using the given formatter.

impl<N: Real, D: Dim> Serialize for RealSchur<N, D> where     DefaultAllocator: Allocator<N, D, D>,     DefaultAllocator: Allocator<N, D, D>,     MatrixN<N, D>: Serialize,

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

Serialize this value into the given Serde serializer.

impl<'de, N: Real, D: Dim> Deserialize<'de> for RealSchur<N, D> where     DefaultAllocator: Allocator<N, D, D>,     DefaultAllocator: Allocator<N, D, D>,     MatrixN<N, D>: Deserialize<'de>,

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

Deserialize this value from the given Serde deserializer.