zhpr2 - perform the Hermitian rank 2 operation A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A
SUBROUTINE ZHPR2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP) CHARACTER*1 UPLO DOUBLE COMPLEX ALPHA DOUBLE COMPLEX X(*), Y(*), AP(*) INTEGER N, INCX, INCY SUBROUTINE ZHPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP) CHARACTER*1 UPLO DOUBLE COMPLEX ALPHA DOUBLE COMPLEX X(*), Y(*), AP(*) INTEGER*8 N, INCX, INCY F95 INTERFACE SUBROUTINE HPR2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP) CHARACTER(LEN=1) :: UPLO COMPLEX(8) :: ALPHA COMPLEX(8), DIMENSION(:) :: X, Y, AP INTEGER :: N, INCX, INCY SUBROUTINE HPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP) CHARACTER(LEN=1) :: UPLO COMPLEX(8) :: ALPHA COMPLEX(8), DIMENSION(:) :: X, Y, AP INTEGER(8) :: N, INCX, INCY C INTERFACE #include <sunperf.h> void zhpr2(char uplo, int n, doublecomplex *alpha, doublecomplex *x, int incx, doublecomplex *y, int incy, doublecomplex *ap); void zhpr2_64(char uplo, long n, doublecomplex *alpha, doublecomplex *x, long incx, doublecomplex *y, long incy, doublecomplex *ap);
Oracle Solaris Studio Performance Library zhpr2(3P) NAME zhpr2 - perform the Hermitian rank 2 operation A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A SYNOPSIS SUBROUTINE ZHPR2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP) CHARACTER*1 UPLO DOUBLE COMPLEX ALPHA DOUBLE COMPLEX X(*), Y(*), AP(*) INTEGER N, INCX, INCY SUBROUTINE ZHPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP) CHARACTER*1 UPLO DOUBLE COMPLEX ALPHA DOUBLE COMPLEX X(*), Y(*), AP(*) INTEGER*8 N, INCX, INCY F95 INTERFACE SUBROUTINE HPR2(UPLO, N, ALPHA, X, INCX, Y, INCY, AP) CHARACTER(LEN=1) :: UPLO COMPLEX(8) :: ALPHA COMPLEX(8), DIMENSION(:) :: X, Y, AP INTEGER :: N, INCX, INCY SUBROUTINE HPR2_64(UPLO, N, ALPHA, X, INCX, Y, INCY, AP) CHARACTER(LEN=1) :: UPLO COMPLEX(8) :: ALPHA COMPLEX(8), DIMENSION(:) :: X, Y, AP INTEGER(8) :: N, INCX, INCY C INTERFACE #include <sunperf.h> void zhpr2(char uplo, int n, doublecomplex *alpha, doublecomplex *x, int incx, doublecomplex *y, int incy, doublecomplex *ap); void zhpr2_64(char uplo, long n, doublecomplex *alpha, doublecomplex *x, long incx, doublecomplex *y, long incy, doublecomplex *ap); PURPOSE zhpr2 performs the Hermitian rank 2 operation A := alpha*x*conjg( y' ) + conjg( alpha )*y*conjg( x' ) + A where alpha is a scalar, x and y are n element vectors and A is an n by n hermitian matrix, supplied in packed form. ARGUMENTS UPLO (input) On entry, UPLO specifies whether the upper or lower triangu- lar part of the matrix A is supplied in the packed array AP as follows: UPLO = 'U' or 'u' The upper triangular part of A is sup- plied in AP. UPLO = 'L' or 'l' The lower triangular part of A is sup- plied in AP. Unchanged on exit. N (input) On entry, N specifies the order of the matrix A. N >= 0. Unchanged on exit. ALPHA (input) On entry, ALPHA specifies the scalar alpha. Unchanged on exit. X (input) ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element vector x. Unchanged on exit. INCX (input) On entry, INCX specifies the increment for the elements of X. INCX <> 0. Unchanged on exit. Y (input) ( 1 + ( n - 1 )*abs( INCY ) ). Before entry, the incremented array Y must contain the n element vector y. Unchanged on exit. INCY (input) On entry, INCY specifies the increment for the elements of Y. INCY <> 0. Unchanged on exit. AP (input/output) ( ( n*( n + 1 ) )/2 ). Before entry with UPLO = 'U' or 'u', the array AP must contain the upper triangular part of the hermitian matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) respectively, and so on. On exit, the array AP is overwritten by the upper triangular part of the updated matrix. Before entry with UPLO = 'L' or 'l', the array AP must contain the lower triangular part of the hermi- tian matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) respectively, and so on. On exit, the array AP is overwritten by the lower triangular part of the updated matrix. Note that the imaginary parts of the diagonal ele- ments need not be set, they are assumed to be zero, and on exit they are set to zero. 7 Nov 2015 zhpr2(3P)