1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath SUBROUTINE ZHPMV(UPLO,N,ALPHA,AP,X,INCX,BETA,Y,INCY) 2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Scalar Arguments .. 3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DOUBLE COMPLEX ALPHA,BETA 4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INTEGER INCX,INCY,N 5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CHARACTER UPLO 6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Array Arguments .. 8c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DOUBLE COMPLEX AP(*),X(*),Y(*) 9c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 10c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 11c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Purpose 12c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ======= 13c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 14c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ZHPMV performs the matrix-vector operation 15c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 16c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* y := alpha*A*x + beta*y, 17c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 18c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* where alpha and beta are scalars, x and y are n element vectors and 19c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* A is an n by n hermitian matrix, supplied in packed form. 20c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 21c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Arguments 22c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ========== 23c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 24c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* UPLO - CHARACTER*1. 25c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, UPLO specifies whether the upper or lower 26c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* triangular part of the matrix A is supplied in the packed 27c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* array AP as follows: 28c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 29c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* UPLO = 'U' or 'u' The upper triangular part of A is 30c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* supplied in AP. 31c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 32c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* UPLO = 'L' or 'l' The lower triangular part of A is 33c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* supplied in AP. 34c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 35c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 36c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 37c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* N - INTEGER. 38c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, N specifies the order of the matrix A. 39c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* N must be at least zero. 40c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 41c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 42c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ALPHA - COMPLEX*16 . 43c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, ALPHA specifies the scalar alpha. 44c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 45c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 46c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* AP - COMPLEX*16 array of DIMENSION at least 47c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ( ( n*( n + 1 ) )/2 ). 48c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Before entry with UPLO = 'U' or 'u', the array AP must 49c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* contain the upper triangular part of the hermitian matrix 50c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* packed sequentially, column by column, so that AP( 1 ) 51c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) 52c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* and a( 2, 2 ) respectively, and so on. 53c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Before entry with UPLO = 'L' or 'l', the array AP must 54c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* contain the lower triangular part of the hermitian matrix 55c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* packed sequentially, column by column, so that AP( 1 ) 56c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) 57c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* and a( 3, 1 ) respectively, and so on. 58c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Note that the imaginary parts of the diagonal elements need 59c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* not be set and are assumed to be zero. 60c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 61c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 62c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* X - COMPLEX*16 array of dimension at least 63c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ( 1 + ( n - 1 )*abs( INCX ) ). 64c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Before entry, the incremented array X must contain the n 65c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* element vector x. 66c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 67c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 68c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* INCX - INTEGER. 69c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, INCX specifies the increment for the elements of 70c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* X. INCX must not be zero. 71c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 72c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 73c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* BETA - COMPLEX*16 . 74c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, BETA specifies the scalar beta. When BETA is 75c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* supplied as zero then Y need not be set on input. 76c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 77c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 78c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Y - COMPLEX*16 array of dimension at least 79c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ( 1 + ( n - 1 )*abs( INCY ) ). 80c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Before entry, the incremented array Y must contain the n 81c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* element vector y. On exit, Y is overwritten by the updated 82c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* vector y. 83c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 84c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* INCY - INTEGER. 85c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, INCY specifies the increment for the elements of 86c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Y. INCY must not be zero. 87c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 88c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 89c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Further Details 90c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* =============== 91c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 92c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Level 2 Blas routine. 93c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 94c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* -- Written on 22-October-1986. 95c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Jack Dongarra, Argonne National Lab. 96c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Jeremy Du Croz, Nag Central Office. 97c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Sven Hammarling, Nag Central Office. 98c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Richard Hanson, Sandia National Labs. 99c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 100c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ===================================================================== 101c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 102c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Parameters .. 103c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DOUBLE COMPLEX ONE 104c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath PARAMETER (ONE= (1.0D+0,0.0D+0)) 105c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DOUBLE COMPLEX ZERO 106c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath PARAMETER (ZERO= (0.0D+0,0.0D+0)) 107c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 108c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Local Scalars .. 109c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DOUBLE COMPLEX TEMP1,TEMP2 110c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INTEGER I,INFO,IX,IY,J,JX,JY,K,KK,KX,KY 111c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 112c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. External Functions .. 113c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath LOGICAL LSAME 114c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EXTERNAL LSAME 115c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 116c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. External Subroutines .. 117c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EXTERNAL XERBLA 118c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 119c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Intrinsic Functions .. 120c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INTRINSIC DBLE,DCONJG 121c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 122c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 123c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Test the input parameters. 124c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 125c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 0 126c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (.NOT.LSAME(UPLO,'U') .AND. .NOT.LSAME(UPLO,'L')) THEN 127c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 1 128c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE IF (N.LT.0) THEN 129c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 2 130c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE IF (INCX.EQ.0) THEN 131c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 6 132c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE IF (INCY.EQ.0) THEN 133c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 9 134c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 135c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INFO.NE.0) THEN 136c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CALL XERBLA('ZHPMV ',INFO) 137c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath RETURN 138c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 139c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 140c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Quick return if possible. 141c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 142c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF ((N.EQ.0) .OR. ((ALPHA.EQ.ZERO).AND. (BETA.EQ.ONE))) RETURN 143c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 144c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Set up the start points in X and Y. 145c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 146c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INCX.GT.0) THEN 147c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KX = 1 148c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 149c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KX = 1 - (N-1)*INCX 150c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 151c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INCY.GT.0) THEN 152c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KY = 1 153c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 154c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KY = 1 - (N-1)*INCY 155c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 156c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 157c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Start the operations. In this version the elements of the array AP 158c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* are accessed sequentially with one pass through AP. 159c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 160c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* First form y := beta*y. 161c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 162c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (BETA.NE.ONE) THEN 163c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INCY.EQ.1) THEN 164c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (BETA.EQ.ZERO) THEN 165c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 10 I = 1,N 166c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(I) = ZERO 167c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 10 CONTINUE 168c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 169c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 20 I = 1,N 170c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(I) = BETA*Y(I) 171c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 20 CONTINUE 172c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 173c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 174c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IY = KY 175c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (BETA.EQ.ZERO) THEN 176c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 30 I = 1,N 177c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(IY) = ZERO 178c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IY = IY + INCY 179c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 30 CONTINUE 180c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 181c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 40 I = 1,N 182c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(IY) = BETA*Y(IY) 183c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IY = IY + INCY 184c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 40 CONTINUE 185c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 186c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 187c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 188c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (ALPHA.EQ.ZERO) RETURN 189c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = 1 190c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (LSAME(UPLO,'U')) THEN 191c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 192c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Form y when AP contains the upper triangle. 193c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 194c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF ((INCX.EQ.1) .AND. (INCY.EQ.1)) THEN 195c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 60 J = 1,N 196c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP1 = ALPHA*X(J) 197c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP2 = ZERO 198c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = KK 199c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 50 I = 1,J - 1 200c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(I) = Y(I) + TEMP1*AP(K) 201c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP2 = TEMP2 + DCONJG(AP(K))*X(I) 202c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = K + 1 203c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 50 CONTINUE 204c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(J) = Y(J) + TEMP1*DBLE(AP(KK+J-1)) + ALPHA*TEMP2 205c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK + J 206c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 60 CONTINUE 207c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 208c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = KX 209c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JY = KY 210c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 80 J = 1,N 211c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP1 = ALPHA*X(JX) 212c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP2 = ZERO 213c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = KX 214c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IY = KY 215c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 70 K = KK,KK + J - 2 216c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(IY) = Y(IY) + TEMP1*AP(K) 217c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP2 = TEMP2 + DCONJG(AP(K))*X(IX) 218c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = IX + INCX 219c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IY = IY + INCY 220c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 70 CONTINUE 221c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(JY) = Y(JY) + TEMP1*DBLE(AP(KK+J-1)) + ALPHA*TEMP2 222c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = JX + INCX 223c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JY = JY + INCY 224c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK + J 225c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 80 CONTINUE 226c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 227c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 228c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 229c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Form y when AP contains the lower triangle. 230c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 231c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF ((INCX.EQ.1) .AND. (INCY.EQ.1)) THEN 232c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 100 J = 1,N 233c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP1 = ALPHA*X(J) 234c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP2 = ZERO 235c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(J) = Y(J) + TEMP1*DBLE(AP(KK)) 236c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = KK + 1 237c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 90 I = J + 1,N 238c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(I) = Y(I) + TEMP1*AP(K) 239c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP2 = TEMP2 + DCONJG(AP(K))*X(I) 240c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = K + 1 241c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 90 CONTINUE 242c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(J) = Y(J) + ALPHA*TEMP2 243c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK + (N-J+1) 244c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 100 CONTINUE 245c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 246c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = KX 247c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JY = KY 248c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 120 J = 1,N 249c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP1 = ALPHA*X(JX) 250c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP2 = ZERO 251c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(JY) = Y(JY) + TEMP1*DBLE(AP(KK)) 252c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = JX 253c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IY = JY 254c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 110 K = KK + 1,KK + N - J 255c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = IX + INCX 256c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IY = IY + INCY 257c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(IY) = Y(IY) + TEMP1*AP(K) 258c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP2 = TEMP2 + DCONJG(AP(K))*X(IX) 259c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 110 CONTINUE 260c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Y(JY) = Y(JY) + ALPHA*TEMP2 261c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = JX + INCX 262c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JY = JY + INCY 263c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK + (N-J+1) 264c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 120 CONTINUE 265c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 266c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 267c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 268c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath RETURN 269c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 270c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* End of ZHPMV . 271c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 272c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END 273