Struct nalgebra::linalg::Schur[−][src]

pub struct Schur<T: ComplexField, D: Dim> where
    DefaultAllocator: Allocator<T, D, D>,  { /* fields omitted */ }
Expand description

Schur decomposition of a square matrix.

If this is a real matrix, this will be a RealField Schur decomposition.

Implementations

impl<T: ComplexField, D: Dim> Schur<T, D> where
    D: DimSub<U1>,
    DefaultAllocator: Allocator<T, D, DimDiff<D, U1>> + Allocator<T, DimDiff<D, U1>> + Allocator<T, D, D> + Allocator<T, D>, [src]

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

Computes the Schur decomposition of a square matrix.

pub fn try_new(
    m: OMatrix<T, D, D>,
    eps: T::RealField,
    max_niter: usize
) -> Option<Self>[src]

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) -> (OMatrix<T, D, D>, OMatrix<T, D, D>)[src]

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<OVector<T, D>>[src]

Computes the real eigenvalues of the decomposed matrix.

Return None if some eigenvalues are complex.

pub fn complex_eigenvalues(&self) -> OVector<NumComplex<T>, D> where
    T: RealField,
    DefaultAllocator: Allocator<NumComplex<T>, D>, [src]

Computes the complex eigenvalues of the decomposed matrix.

Trait Implementations

impl<T: Clone + ComplexField, D: Clone + Dim> Clone for Schur<T, D> where
    DefaultAllocator: Allocator<T, D, D>, [src]

fn clone(&self) -> Schur<T, D>[src]

Returns a copy of the value. Read more

fn clone_from(&mut self, source: &Self)1.0.0[src]

Performs copy-assignment from source. Read more

impl<T: Debug + ComplexField, D: Debug + Dim> Debug for Schur<T, D> where
    DefaultAllocator: Allocator<T, D, D>, [src]

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

Formats the value using the given formatter. Read more

impl<T: ComplexField, D: Dim> Copy for Schur<T, D> where
    DefaultAllocator: Allocator<T, D, D>,
    OMatrix<T, D, D>: Copy, [src]

Auto Trait Implementations

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

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

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

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

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

Blanket Implementations

impl<T> Any for T where
    T: 'static + ?Sized, [src]

pub fn type_id(&self) -> TypeId[src]

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T where
    T: ?Sized, [src]

pub fn borrow(&self) -> &T[src]

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T where
    T: ?Sized, [src]

pub fn borrow_mut(&mut self) -> &mut T[src]

Mutably borrows from an owned value. Read more

impl<T> From<T> for T[src]

pub fn from(t: T) -> T[src]

Performs the conversion.

impl<T, U> Into<U> for T where
    U: From<T>, [src]

pub fn into(self) -> U[src]

Performs the conversion.

impl<T> Same<T> for T[src]

type Output = T

Should always be Self

impl<SS, SP> SupersetOf<SS> for SP where
    SS: SubsetOf<SP>, [src]

pub fn to_subset(&self) -> Option<SS>[src]

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

pub fn is_in_subset(&self) -> bool[src]

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

pub fn to_subset_unchecked(&self) -> SS[src]

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

pub fn from_subset(element: &SS) -> SP[src]

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

impl<T> ToOwned for T where
    T: Clone, [src]

type Owned = T

The resulting type after obtaining ownership.

pub fn to_owned(&self) -> T[src]

Creates owned data from borrowed data, usually by cloning. Read more

pub fn clone_into(&self, target: &mut T)[src]

🔬 This is a nightly-only experimental API. (toowned_clone_into)

recently added

Uses borrowed data to replace owned data, usually by cloning. Read more

impl<T, U> TryFrom<U> for T where
    U: Into<T>, [src]

type Error = Infallible

The type returned in the event of a conversion error.

pub fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>[src]

Performs the conversion.

impl<T, U> TryInto<U> for T where
    U: TryFrom<T>, [src]

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.

pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>[src]

Performs the conversion.

impl<V, T> VZip<V> for T where
    V: MultiLane<T>, 

pub fn vzip(self) -> V