extendr_api::prelude::sparse::linalg::cholesky

Struct IntranodeBunchKaufmanRef

pub struct IntranodeBunchKaufmanRef<'a, I, E>
where I: Index, E: Entity,
{ symbolic: &'a SymbolicCholesky<I>, values: SliceGroup<'a, E>, subdiag: SliceGroup<'a, E>, perm: PermRef<'a, I>, }
Expand description

Sparse intranodal Bunch-Kaufman factorization wrapper.

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§symbolic: &'a SymbolicCholesky<I>§values: SliceGroup<'a, E>§subdiag: SliceGroup<'a, E>§perm: PermRef<'a, I>

Implementations§

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impl<'a, I, E> IntranodeBunchKaufmanRef<'a, I, E>
where I: Index, E: Entity,

pub fn new( symbolic: &'a SymbolicCholesky<I>, values: <<E as Entity>::Group as ForType>::FaerOf<&'a [<E as Entity>::Unit]>, subdiag: <<E as Entity>::Group as ForType>::FaerOf<&'a [<E as Entity>::Unit]>, perm: PermRef<'a, I>, ) -> IntranodeBunchKaufmanRef<'a, I, E>

Creates a new Cholesky intranodal Bunch-Kaufman factor from the symbolic part and numerical values, as well as the pivoting permutation.

§Panics
  • Panics if values.len() != symbolic.len_values().
  • Panics if subdiag.len() != symbolic.nrows().
  • Panics if perm.len() != symbolic.nrows().

pub fn symbolic(self) -> &'a SymbolicCholesky<I>

Returns the symbolic part of the Cholesky factor.

pub fn solve_in_place_with_conj( &self, conj: Conj, rhs: MatMut<'_, E>, parallelism: Parallelism<'_>, stack: PodStack<'_>, )
where E: ComplexField,

Solves the equation $\text{Op}(A) x = \text{rhs}$ and stores the result in rhs, where $\text{Op}$ is either the identity or the conjugate, depending on the value of conj.

§Panics

Panics if rhs.nrows() != self.symbolic().nrows().

Methods from Deref<Target = SymbolicCholesky<I>>§

pub fn nrows(&self) -> usize

Returns the number of rows of the matrix.

pub fn ncols(&self) -> usize

Returns the number of columns of the matrix.

pub fn raw(&self) -> &SymbolicCholeskyRaw<I>

Returns the inner type of the factorization, either simplicial or symbolic.

pub fn perm(&self) -> Option<PermRef<'_, I>>

Returns the permutation that was computed during symbolic analysis.

pub fn len_values(&self) -> usize

Returns the length of the slice needed to store the numerical values of the Cholesky decomposition.

pub fn factorize_numeric_llt_req<E>( &self, parallelism: Parallelism<'_>, ) -> Result<StackReq, SizeOverflow>
where E: Entity,

Computes the required workspace size and alignment for a numerical LLT factorization.

pub fn factorize_numeric_ldlt_req<E>( &self, with_regularization_signs: bool, parallelism: Parallelism<'_>, ) -> Result<StackReq, SizeOverflow>
where E: Entity,

Computes the required workspace size and alignment for a numerical LDLT factorization.

pub fn factorize_numeric_intranode_bunch_kaufman_req<E>( &self, with_regularization_signs: bool, parallelism: Parallelism<'_>, ) -> Result<StackReq, SizeOverflow>
where E: Entity,

Computes the required workspace size and alignment for a numerical intranodal Bunch-Kaufman factorization.

pub fn factorize_numeric_llt<'out, E>( &'out self, L_values: <<E as Entity>::Group as ForType>::FaerOf<&'out mut [<E as Entity>::Unit]>, A: SparseColMatRef<'_, I, E>, side: Side, regularization: LltRegularization<E>, parallelism: Parallelism<'_>, stack: PodStack<'_>, ) -> Result<LltRef<'out, I, E>, CholeskyError>
where E: ComplexField,

Computes a numerical LLT factorization of A, or returns a CholeskyError if the matrix is not numerically positive definite.

pub fn factorize_numeric_ldlt<'out, E>( &'out self, L_values: <<E as Entity>::Group as ForType>::FaerOf<&'out mut [<E as Entity>::Unit]>, A: SparseColMatRef<'_, I, E>, side: Side, regularization: LdltRegularization<'_, E>, parallelism: Parallelism<'_>, stack: PodStack<'_>, ) -> LdltRef<'out, I, E>
where E: ComplexField,

Computes a numerical LDLT factorization of A.

pub fn factorize_numeric_intranode_bunch_kaufman<'out, E>( &'out self, L_values: <<E as Entity>::Group as ForType>::FaerOf<&'out mut [<E as Entity>::Unit]>, subdiag: <<E as Entity>::Group as ForType>::FaerOf<&'out mut [<E as Entity>::Unit]>, perm_forward: &'out mut [I], perm_inverse: &'out mut [I], A: SparseColMatRef<'_, I, E>, side: Side, regularization: BunchKaufmanRegularization<'_, E>, parallelism: Parallelism<'_>, stack: PodStack<'_>, ) -> IntranodeBunchKaufmanRef<'out, I, E>
where E: ComplexField,

Computes a numerical intranodal Bunch-Kaufman factorization of A.

pub fn solve_in_place_req<E>( &self, rhs_ncols: usize, ) -> Result<StackReq, SizeOverflow>
where E: Entity,

Computes the required workspace size and alignment for a dense solve in place using an LLT, LDLT or intranodal Bunch-Kaufman factorization.

Trait Implementations§

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impl<'a, I, E> Clone for IntranodeBunchKaufmanRef<'a, I, E>
where I: Index, E: Entity,

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fn clone(&self) -> IntranodeBunchKaufmanRef<'a, I, E>

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<'a, I, E> Debug for IntranodeBunchKaufmanRef<'a, I, E>
where I: Debug + Index, 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<'a, I, E> Deref for IntranodeBunchKaufmanRef<'a, I, E>
where I: Index, E: Entity,

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type Target = SymbolicCholesky<I>

The resulting type after dereferencing.
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fn deref(&self) -> &<IntranodeBunchKaufmanRef<'a, I, E> as Deref>::Target

Dereferences the value.
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impl<'a, I, E> Copy for IntranodeBunchKaufmanRef<'a, I, E>
where I: Index, E: Entity,

Auto Trait Implementations§

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impl<'a, I, E> Freeze for IntranodeBunchKaufmanRef<'a, I, E>
where <<E as Entity>::Group as ForCopyType>::FaerOfCopy<*const [<E as Entity>::Unit]>: Freeze,

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impl<'a, I, E> RefUnwindSafe for IntranodeBunchKaufmanRef<'a, I, E>
where <<E as Entity>::Group as ForCopyType>::FaerOfCopy<*const [<E as Entity>::Unit]>: RefUnwindSafe, I: RefUnwindSafe,

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impl<'a, I, E> Send for IntranodeBunchKaufmanRef<'a, I, E>

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impl<'a, I, E> Sync for IntranodeBunchKaufmanRef<'a, I, E>

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impl<'a, I, E> Unpin for IntranodeBunchKaufmanRef<'a, I, E>
where <<E as Entity>::Group as ForCopyType>::FaerOfCopy<*const [<E as Entity>::Unit]>: Unpin,

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impl<'a, I, E> UnwindSafe for IntranodeBunchKaufmanRef<'a, I, E>
where <<E as Entity>::Group as ForCopyType>::FaerOfCopy<*const [<E as Entity>::Unit]>: UnwindSafe, I: RefUnwindSafe,

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unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
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const ALIGN: usize = _

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type Init = T

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

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