Struct ndarray_linalg::solveh::BKFactorized
source · [−]Expand description
Represents the Bunch–Kaufman factorization of a Hermitian (or real
symmetric) matrix as A = P * U * D * U^H * P^T
.
Fields
a: ArrayBase<S, Ix2>
ipiv: Pivot
Implementations
sourceimpl<A, S> BKFactorized<S> where
A: Scalar + Lapack,
S: Data<Elem = A>,
impl<A, S> BKFactorized<S> where
A: Scalar + Lapack,
S: Data<Elem = A>,
sourcepub fn deth(&self) -> A::Real
pub fn deth(&self) -> A::Real
Computes the determinant of the factorized Hermitian (or real symmetric) matrix.
sourcepub fn sln_deth(&self) -> (A::Real, A::Real)
pub fn sln_deth(&self) -> (A::Real, A::Real)
Computes the (sign, natural_log)
of the determinant of the factorized
Hermitian (or real symmetric) matrix.
The natural_log
is the natural logarithm of the absolute value of the
determinant. If the determinant is zero, sign
is 0 and natural_log
is negative infinity.
To obtain the determinant, you can compute sign * natural_log.exp()
or just call .deth()
instead.
This method is more robust than .deth()
to very small or very large
determinants since it returns the natural logarithm of the determinant
rather than the determinant itself.
sourcepub fn deth_into(self) -> A::Real
pub fn deth_into(self) -> A::Real
Computes the determinant of the factorized Hermitian (or real symmetric) matrix.
sourcepub fn sln_deth_into(self) -> (A::Real, A::Real)
pub fn sln_deth_into(self) -> (A::Real, A::Real)
Computes the (sign, natural_log)
of the determinant of the factorized
Hermitian (or real symmetric) matrix.
The natural_log
is the natural logarithm of the absolute value of the
determinant. If the determinant is zero, sign
is 0 and natural_log
is negative infinity.
To obtain the determinant, you can compute sign * natural_log.exp()
or just call .deth_into()
instead.
This method is more robust than .deth_into()
to very small or very
large determinants since it returns the natural logarithm of the
determinant rather than the determinant itself.
Trait Implementations
sourceimpl<A, S> InverseHInto for BKFactorized<S> where
A: Scalar + Lapack,
S: DataMut<Elem = A>,
impl<A, S> InverseHInto for BKFactorized<S> where
A: Scalar + Lapack,
S: DataMut<Elem = A>,
sourceimpl<A, S> SolveH<A> for BKFactorized<S> where
A: Scalar + Lapack,
S: Data<Elem = A>,
impl<A, S> SolveH<A> for BKFactorized<S> where
A: Scalar + Lapack,
S: Data<Elem = A>,
sourcefn solveh_inplace<'a, Sb>(
&self,
rhs: &'a mut ArrayBase<Sb, Ix1>
) -> Result<&'a mut ArrayBase<Sb, Ix1>> where
Sb: DataMut<Elem = A>,
fn solveh_inplace<'a, Sb>(
&self,
rhs: &'a mut ArrayBase<Sb, Ix1>
) -> Result<&'a mut ArrayBase<Sb, Ix1>> where
Sb: DataMut<Elem = A>,
Solves a system of linear equations A * x = b
with Hermitian (or real
symmetric) matrix A
, where A
is self
, b
is the argument, and
x
is the successful result. The value of x
is also assigned to the
argument. Read more
Auto Trait Implementations
impl<S> RefUnwindSafe for BKFactorized<S> where
S: RefUnwindSafe,
<S as RawData>::Elem: RefUnwindSafe,
impl<S> Send for BKFactorized<S> where
S: Send,
impl<S> Sync for BKFactorized<S> where
S: Sync,
impl<S> Unpin for BKFactorized<S> where
S: Unpin,
impl<S> UnwindSafe for BKFactorized<S> where
S: UnwindSafe,
<S as RawData>::Elem: RefUnwindSafe,
Blanket Implementations
sourceimpl<T> BorrowMut<T> for T where
T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
const: unstable · sourcefn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more