Reflectors¶
Householder reflectors¶
Generate a reflector¶
TODO: Describe major difference from LAPACK’s conventions (i.e., we do not treat the identity matrix as a Householder transform since it requires the \(u\) in \(H=I-2uu'\) to have norm zero rather than one).
-
F
LeftReflector(F &chi, AbstractDistMatrix<F> &x)¶
-
F
LeftReflector(AbstractDistMatrix<F> &chi, AbstractDistMatrix<F> &x)¶
-
F
reflector::Col(F &chi, AbstractDistMatrix<F> &x)¶
-
F
reflector::Col(AbstractDistMatrix<F> &chi, AbstractDistMatrix<F> &x)¶
-
F
RightReflector(F &chi, AbstractDistMatrix<F> &x)¶
-
F
RightReflector(AbstractDistMatrix<F> &chi, AbstractDistMatrix<F> &x)¶
-
F
reflector::Row(F &chi, AbstractDistMatrix<F> &x)¶
-
F
reflector::Row(AbstractDistMatrix<F> &chi, AbstractDistMatrix<F> &x)¶
Apply packed reflectors¶
-
void
ApplyPackedReflectors(LeftOrRight side, UpperOrLower uplo, VerticalOrHorizontal dir, ForwardOrBackward order, Conjugation conjugation, Int offset, const Matrix<F> &H, const Matrix<F> &t, Matrix<F> &A)¶
-
void
ApplyPackedReflectors(LeftOrRight side, UpperOrLower uplo, VerticalOrHorizontal dir, ForwardOrBackward order, Conjugation conjugation, Int offset, const AbstractDistMatrix<F> &H, const AbstractDistMatrix<F> &t, AbstractDistMatrix<F> &A)¶
Expand packed reflectors¶
-
void
ExpandPackedReflectors(UpperOrLower uplo, VerticalOrHorizontal dir, Conjugation conjugation, Int offset, Matrix<F> &H, const Matrix<F> &t)¶
-
void
ExpandPackedReflectors(UpperOrLower uplo, VerticalOrHorizontal dir, Conjugation conjugation, Int offset, AbstractDistMatrix<F> &H, const AbstractDistMatrix<F> &t)¶
Hyperbolic reflectors¶
Generate a reflector¶
-
F
LeftHyperbolicReflector(F &chi, AbstractDistMatrix<F> &x)¶
-
F
LeftHyperbolicReflector(AbstractDistMatrix<F> &chi, AbstractDistMatrix<F> &x)¶
-
F
hyp_reflector::Col(F &chi, AbstractDistMatrix<F> &x)¶
-
F
hyp_reflector::Col(AbstractDistMatrix<F> &chi, AbstractDistMatrix<F> &x)¶
-
F
RightHyperbolicReflector(F &chi, AbstractDistMatrix<F> &x)¶
-
F
RightHyperbolicReflector(AbstractDistMatrix<F> &chi, AbstractDistMatrix<F> &x)¶
-
F
hyp_reflector::Row(F &chi, AbstractDistMatrix<F> &x)¶
-
F
hyp_reflector::Row(AbstractDistMatrix<F> &chi, AbstractDistMatrix<F> &x)¶