HP MLIB User's Guide Vol. 1 7th Ed.

Chapter 3 Basic Matrix Operations 351
Hermitian rank-1 update F_CHPR/F_ZHPR
N Number of elements of vector x.
ALPHA REAL scalar ALPHA.
X COMPLEX array, minimum length
(N - 1) x |incx| + 1.
INCX Increment for the array x. A vector x having component
x
i
, i = 1,..., n, is stored in an array X() with increment
argument incx. If incx > 0 then x
i
is stored in
X (1 + (i - 1) x incx). If incx < 0 then x
i
is stored in
X (1 + (N - i) x |incx|). incx = 0 is an illegal value.
BETA REAL scalar BETA.
AP Complex array, dimension (LDA, N). Contains the
upper or lower triangle, as specified by uplo of an
n-by-n real symmetric or complex Hermitian matrix A,
stored by columns in packed form.
Output AP The upper or lower triangle of the updated A matrix, as
specified by uplo, replaces the input.
A αxx
∗
βA
∗
with A=A
∗
+←