Struct extendr_api::prelude::solvers::Svd

pub struct Svd<E>
where E: Entity,
{ s: Col<E>, u: Mat<E>, v: Mat<E>, }
Expand description

Singular value decomposition.

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§s: Col<E>§u: Mat<E>§v: Mat<E>

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impl<E> Svd<E>
where E: ComplexField,

pub fn new<ViewE>(matrix: MatRef<'_, ViewE>) -> Svd<E>
where ViewE: Conjugate<Canonical = E>,

Returns the SVD of the input matrix.

The factorization is such that $A = U S V^H$, where $U$ and $V$ are unitary and $S$ is a rectangular diagonal matrix.

pub fn u(&self) -> MatRef<'_, E>

Returns the factor $U$ of the SVD.

pub fn s_diagonal(&self) -> ColRef<'_, E>

Returns the diagonal of the factor $S$ of the SVD as a column vector.

pub fn v(&self) -> MatRef<'_, E>

Returns the factor $V$ of the SVD.

pub fn pseudoinverse(&self) -> Mat<E>

Computes the pseudo inverse.

Trait Implementations§

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impl<E> Debug for Svd<E>
where E: Debug + Entity,

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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<E> SolverCore<E> for Svd<E>
where E: ComplexField,

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fn reconstruct(&self) -> Mat<E>

Reconstructs the original matrix using the decomposition.
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fn inverse(&self) -> Mat<E>

Computes the inverse of the original matrix using the decomposition. Read more
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impl<E> SpSolverCore<E> for Svd<E>
where E: ComplexField,

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fn nrows(&self) -> usize

Returns the number of rows of the matrix used to construct this decomposition.
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fn ncols(&self) -> usize

Returns the number of columns of the matrix used to construct this decomposition.

Auto Trait Implementations§

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impl<E> Freeze for Svd<E>
where <<E as Entity>::Group as ForCopyType>::FaerOfCopy<NonNull<<E as Entity>::Unit>>: Freeze,

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impl<E> RefUnwindSafe for Svd<E>
where <<E as Entity>::Group as ForCopyType>::FaerOfCopy<NonNull<<E as Entity>::Unit>>: RefUnwindSafe, E: RefUnwindSafe,

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impl<E> Send for Svd<E>

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impl<E> Sync for Svd<E>

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impl<E> Unpin for Svd<E>
where <<E as Entity>::Group as ForCopyType>::FaerOfCopy<NonNull<<E as Entity>::Unit>>: Unpin, E: Unpin,

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impl<E> UnwindSafe for Svd<E>
where <<E as Entity>::Group as ForCopyType>::FaerOfCopy<NonNull<<E as Entity>::Unit>>: UnwindSafe, E: UnwindSafe,

Blanket Implementations§

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

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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

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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> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T> Pointable for T

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const ALIGN: usize = _

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<E, Dec> SpSolver<E> for Dec
where E: ComplexField, Dec: SpSolverCore<E> + ?Sized,

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fn solve_in_place(&self, rhs: impl ColBatchMut<E>)

Solves the equation self * X = rhs, and stores the result in rhs.
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fn solve_conj_in_place(&self, rhs: impl ColBatchMut<E>)

Solves the equation conjugate(self) * X = rhs, and stores the result in rhs.
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fn solve_transpose_in_place(&self, rhs: impl ColBatchMut<E>)

Solves the equation transpose(self) * X = rhs, and stores the result in rhs.
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fn solve_conj_transpose_in_place(&self, rhs: impl ColBatchMut<E>)

Solves the equation adjoint(self) * X = rhs, and stores the result in rhs.
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fn solve<ViewE, B>(&self, rhs: B) -> <B as ColBatch<ViewE>>::Owned
where ViewE: Conjugate<Canonical = E>, B: ColBatch<ViewE>,

Solves the equation self * X = rhs, and returns the result.
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fn solve_conj<ViewE, B>(&self, rhs: B) -> <B as ColBatch<ViewE>>::Owned
where ViewE: Conjugate<Canonical = E>, B: ColBatch<ViewE>,

Solves the equation conjugate(self) * X = rhs, and returns the result.
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fn solve_transpose<ViewE, B>(&self, rhs: B) -> <B as ColBatch<ViewE>>::Owned
where ViewE: Conjugate<Canonical = E>, B: ColBatch<ViewE>,

Solves the equation transpose(self) * X = rhs, and returns the result.
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fn solve_conj_transpose<ViewE, B>( &self, rhs: B, ) -> <B as ColBatch<ViewE>>::Owned
where ViewE: Conjugate<Canonical = E>, B: ColBatch<ViewE>,

Solves the equation adjoint(self) * X = rhs, and returns the result.
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<E, Dec> Solver<E> for Dec
where E: ComplexField, Dec: SolverCore<E> + ?Sized,