Struct nalgebra::linalg::LU

impl<T: ComplexField, R: DimMin<C>, C: Dim> LU<T, R, C>
where DefaultAllocator: Allocator<T, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>,

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

Computes the LU decomposition with partial (row) pivoting of matrix.

pub fn l(&self) -> OMatrix<T, R, DimMinimum<R, C>>
where DefaultAllocator: Allocator<T, R, DimMinimum<R, C>>,

The lower triangular matrix of this decomposition.

pub fn l_unpack(self) -> OMatrix<T, R, DimMinimum<R, C>>
where DefaultAllocator: Reallocator<T, R, C, R, DimMinimum<R, C>>,

The lower triangular matrix of this decomposition.

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

The upper triangular matrix of this decomposition.

pub fn p(&self) -> &PermutationSequence<DimMinimum<R, C>>

The row permutations of this decomposition.

pub fn unpack( self ) -> (PermutationSequence<DimMinimum<R, C>>, OMatrix<T, R, DimMinimum<R, C>>, OMatrix<T, DimMinimum<R, C>, C>)
where DefaultAllocator: Allocator<T, R, DimMinimum<R, C>> + Allocator<T, DimMinimum<R, C>, C> + Reallocator<T, R, C, R, DimMinimum<R, C>>,

The row permutations and two triangular matrices of this decomposition: (P, L, U).

impl<T: ComplexField, D: DimMin<D, Output = D>> LU<T, D, D>
where DefaultAllocator: Allocator<T, D, D> + Allocator<(usize, usize), D>,

pub fn solve<R2: Dim, C2: Dim, S2>( &self, b: &Matrix<T, R2, C2, S2> ) -> Option<OMatrix<T, R2, C2>>
where S2: Storage<T, R2, C2>, ShapeConstraint: SameNumberOfRows<R2, D>, DefaultAllocator: Allocator<T, R2, C2>,

Solves the linear system self * x = b, where x is the unknown to be determined.

Returns None if self is not invertible.

pub fn solve_mut<R2: Dim, C2: Dim, S2>( &self, b: &mut Matrix<T, R2, C2, S2> ) -> bool
where S2: StorageMut<T, R2, C2>, ShapeConstraint: SameNumberOfRows<R2, D>,

Solves the linear system self * x = b, where x is the unknown to be determined.

If the decomposed matrix is not invertible, this returns false and its input b may be overwritten with garbage.

pub fn try_inverse(&self) -> Option<OMatrix<T, D, D>>

Computes the inverse of the decomposed matrix.

Returns None if the matrix is not invertible.

pub fn try_inverse_to<S2: StorageMut<T, D, D>>( &self, out: &mut Matrix<T, D, D, S2> ) -> bool

Computes the inverse of the decomposed matrix and outputs the result to out.

If the decomposed matrix is not invertible, this returns false and out may be overwritten with garbage.

pub fn determinant(&self) -> T

Computes the determinant of the decomposed matrix.

pub fn is_invertible(&self) -> bool

Indicates if the decomposed matrix is invertible.

Trait Implementations§

impl<T: Clone + ComplexField, R: Clone + DimMin<C>, C: Clone + Dim> Clone for LU<T, R, C>
where DefaultAllocator: Allocator<T, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>,

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

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

impl<T: Debug + ComplexField, R: Debug + DimMin<C>, C: Debug + Dim> Debug for LU<T, R, C>
where DefaultAllocator: Allocator<T, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>,

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

Formats the value using the given formatter. Read more

impl<'de, T: ComplexField, R: DimMin<C>, C: Dim> Deserialize<'de> for LU<T, R, C>
where DefaultAllocator: Allocator<T, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>, OMatrix<T, R, C>: Deserialize<'de>, PermutationSequence<DimMinimum<R, C>>: Deserialize<'de>,

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

Deserialize this value from the given Serde deserializer. Read more

impl<T: ComplexField, R: DimMin<C>, C: Dim> Serialize for LU<T, R, C>
where DefaultAllocator: Allocator<T, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>, OMatrix<T, R, C>: Serialize, PermutationSequence<DimMinimum<R, C>>: Serialize,

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

Serialize this value into the given Serde serializer. Read more

impl<T: ComplexField, R: DimMin<C>, C: Dim> Copy for LU<T, R, C>
where DefaultAllocator: Allocator<T, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>, OMatrix<T, R, C>: Copy, PermutationSequence<DimMinimum<R, C>>: Copy,

Auto Trait Implementations§

impl<T, R, C> !UnwindSafe for LU<T, R, C>

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> ArchivePointee for T

type ArchivedMetadata = ()

The archived version of the pointer metadata for this type.

fn pointer_metadata( _: &<T as ArchivePointee>::ArchivedMetadata ) -> <T as Pointee>::Metadata

Converts some archived metadata to the pointer metadata for itself.

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

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

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

Mutably borrows from an owned value. Read more

impl<F, W, T, D> Deserialize<With<T, W>, D> for F
where W: DeserializeWith<F, T, D>, D: Fallible + ?Sized, F: ?Sized,

fn deserialize( &self, deserializer: &mut D ) -> Result<With<T, W>, <D as Fallible>::Error>

Deserializes using the given deserializer

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

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

fn into(self) -> U

Calls U::from(self).

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

impl<T> LayoutRaw for T

fn layout_raw(_: <T as Pointee>::Metadata) -> Result<Layout, LayoutError>

Gets the layout of the type.

impl<T> Pointable for T

const ALIGN: usize = _

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

impl<T> Pointee for T

type Metadata = ()

The type for metadata in pointers and references to Self.

impl<T> Same for T

type Output = T

Should always be Self

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

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

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

fn is_in_subset(&self) -> bool

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

fn to_subset_unchecked(&self) -> SS

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

fn from_subset(element: &SS) -> SP

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

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

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

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

fn is_in_subset(&self) -> bool

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

unsafe fn to_subset_unchecked(&self) -> SS

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

fn from_subset(element: &SS) -> SP

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

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

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

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

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

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

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

type Error = Infallible

The type returned in the event of a conversion error.

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

Performs the conversion.

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

type Error = >::Error

The type returned in the event of a conversion error.

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

Performs the conversion.

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

fn vzip(self) -> V