Struct na::UDU

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pub struct UDU<T, D> where
    T: RealField,
    D: Dim,
    DefaultAllocator: Allocator<T, D, Const<1_usize>>,
    DefaultAllocator: Allocator<T, D, D>,  {
    pub u: Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>,
    pub d: Matrix<T, D, Const<1_usize>, <DefaultAllocator as Allocator<T, D, Const<1_usize>>>::Buffer>,
}

Expand description

UDU factorization.

Fields

u: Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>

The upper triangular matrix resulting from the factorization

d: Matrix<T, D, Const<1_usize>, <DefaultAllocator as Allocator<T, D, Const<1_usize>>>::Buffer>

The diagonal matrix resulting from the factorization

Implementations

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impl<T, D> UDU<T, D> where
 T: RealField,
 D: Dim,
 DefaultAllocator: Allocator<T, D, Const<1_usize>>,
 DefaultAllocator: Allocator<T, D, D>,

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pub fn new(
p: Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>
) -> Option<UDU<T, D>>

Computes the UDU^T factorization.

The input matrix p is assumed to be symmetric and this decomposition will only read the upper-triangular part of p.

Ref.: “Optimal control and estimation-Dover Publications”, Robert F. Stengel, (1994) page 360

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

Returns the diagonal elements as a matrix

Trait Implementations

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impl<T, D> Clone for UDU<T, D> where
 T: Clone + RealField,
 D: Clone + Dim,
 DefaultAllocator: Allocator<T, D, Const<1_usize>>,
 DefaultAllocator: Allocator<T, D, D>,

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fn clone(&self) -> UDU<T, D>

Returns a copy of the value. Read more

1.0.0 · source

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

Performs copy-assignment from source. Read more

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impl<T, D> Debug for UDU<T, D> where
 T: Debug + RealField,
 D: Debug + Dim,
 DefaultAllocator: Allocator<T, D, Const<1_usize>>,
 DefaultAllocator: Allocator<T, D, D>,

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

Formats the value using the given formatter. Read more

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impl<T, D> Copy for UDU<T, D> where
 T: RealField,
 D: Dim,
 DefaultAllocator: Allocator<T, D, Const<1_usize>>,
 DefaultAllocator: Allocator<T, D, D>,
 Matrix<T, D, Const<1_usize>, <DefaultAllocator as Allocator<T, D, Const<1_usize>>>::Buffer>: Copy,
 Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>: Copy,

Auto Trait Implementations

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

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

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

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

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> Same<T> for T

type Output = T

Should always be Self

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impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

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

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fn is_in_subset(&self) -> bool

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

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fn to_subset_unchecked(&self) -> SS

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

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fn from_subset(element: &SS) -> SP

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

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impl<T> ToOwned for T where
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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fn to_owned(&self) -> T

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

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fn clone_into(&self, target: &mut T)

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

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

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impl<T, U> TryFrom for T where
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

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

Performs the conversion.

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impl<T, U> TryInto for T where
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

Struct na::UDU

Fields

Implementations

impl<T, D> UDU<T, D> where T: RealField, D: Dim, DefaultAllocator: Allocator<T, D, Const<1_usize>>, DefaultAllocator: Allocator<T, D, D>,

pub fn new( p: Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>) -> Option<UDU<T, D>>

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

Trait Implementations

impl<T, D> Clone for UDU<T, D> where T: Clone + RealField, D: Clone + Dim, DefaultAllocator: Allocator<T, D, Const<1_usize>>, DefaultAllocator: Allocator<T, D, D>,

fn clone(&self) -> UDU<T, D>

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

impl<T, D> Debug for UDU<T, D> where T: Debug + RealField, D: Debug + Dim, DefaultAllocator: Allocator<T, D, Const<1_usize>>, DefaultAllocator: Allocator<T, D, D>,

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

Auto Trait Implementations

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

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

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

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

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

Blanket Implementations

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

fn type_id(&self) -> TypeId

impl<T> Borrow<T> for T where T: ?Sized,

fn borrow(&self) -> &T

impl<T> BorrowMut<T> for T where T: ?Sized,

fn borrow_mut(&mut self) -> &mut T

impl<T> From<T> for T

fn from(t: T) -> T

impl<T, U> Into<U> for T where U: From<T>,

fn into(self) -> U

impl<V> IntoPnt<V> for V

fn into_pnt(self) -> V

impl<V> IntoVec<V> for V

fn into_vec(self) -> V

impl<T> Same<T> for T

type Output = T

impl<SS, SP> SupersetOf<SS> for SP where SS: SubsetOf<SP>,

fn to_subset(&self) -> Option<SS>

fn is_in_subset(&self) -> bool

fn to_subset_unchecked(&self) -> SS

fn from_subset(element: &SS) -> SP

impl<T> ToOwned for T where T: Clone,

type Owned = T

fn to_owned(&self) -> T

fn clone_into(&self, target: &mut T)

impl<T, U> TryFrom<U> for T where U: Into<T>,

type Error = Infallible

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

impl<T, U> TryInto<U> for T where U: TryFrom<T>,

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

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

impl<T, D> UDU<T, D> where
T: RealField,
D: Dim,
DefaultAllocator: Allocator<T, D, Const<1_usize>>,
DefaultAllocator: Allocator<T, D, D>,

pub fn new(
p: Matrix<T, D, D, <DefaultAllocator as Allocator<T, D, D>>::Buffer>
) -> Option<UDU<T, D>>

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

impl<T, D> Clone for UDU<T, D> where
T: Clone + RealField,
D: Clone + Dim,
DefaultAllocator: Allocator<T, D, Const<1_usize>>,
DefaultAllocator: Allocator<T, D, D>,

impl<T, D> Debug for UDU<T, D> where
T: Debug + RealField,
D: Debug + Dim,
DefaultAllocator: Allocator<T, D, Const<1_usize>>,
DefaultAllocator: Allocator<T, D, D>,

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

impl<T> Borrow<T> for T where
T: ?Sized,

impl<T> BorrowMut<T> for T where
T: ?Sized,

impl<T, U> Into<U> for T where
U: From<T>,

impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,

impl<T> ToOwned for T where
T: Clone,

impl<T, U> TryFrom<U> for T where
U: Into<T>,

impl<T, U> TryInto<U> for T where
U: TryFrom<T>,