1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath SUBROUTINE ZTPMV(UPLO,TRANS,DIAG,N,AP,X,INCX) 2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Scalar Arguments .. 3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INTEGER INCX,N 4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CHARACTER DIAG,TRANS,UPLO 5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Array Arguments .. 7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DOUBLE COMPLEX AP(*),X(*) 8c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 9c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 10c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Purpose 11c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ======= 12c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 13c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ZTPMV performs one of the matrix-vector operations 14c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 15c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* x := A*x, or x := A'*x, or x := conjg( A' )*x, 16c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 17c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* where x is an n element vector and A is an n by n unit, or non-unit, 18c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* upper or lower triangular matrix, supplied in packed form. 19c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 20c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Arguments 21c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ========== 22c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 23c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* UPLO - CHARACTER*1. 24c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, UPLO specifies whether the matrix is an upper or 25c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* lower triangular matrix as follows: 26c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 27c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* UPLO = 'U' or 'u' A is an upper triangular matrix. 28c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 29c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* UPLO = 'L' or 'l' A is a lower triangular matrix. 30c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 31c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 32c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 33c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* TRANS - CHARACTER*1. 34c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, TRANS specifies the operation to be performed as 35c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* follows: 36c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 37c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* TRANS = 'N' or 'n' x := A*x. 38c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 39c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* TRANS = 'T' or 't' x := A'*x. 40c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 41c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* TRANS = 'C' or 'c' x := conjg( A' )*x. 42c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 43c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 44c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 45c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* DIAG - CHARACTER*1. 46c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, DIAG specifies whether or not A is unit 47c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* triangular as follows: 48c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 49c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* DIAG = 'U' or 'u' A is assumed to be unit triangular. 50c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 51c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* DIAG = 'N' or 'n' A is not assumed to be unit 52c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* triangular. 53c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 54c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 55c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 56c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* N - INTEGER. 57c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, N specifies the order of the matrix A. 58c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* N must be at least zero. 59c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 60c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 61c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* AP - COMPLEX*16 array of DIMENSION at least 62c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ( ( n*( n + 1 ) )/2 ). 63c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Before entry with UPLO = 'U' or 'u', the array AP must 64c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* contain the upper triangular matrix packed sequentially, 65c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* column by column, so that AP( 1 ) contains a( 1, 1 ), 66c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) 67c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* respectively, and so on. 68c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Before entry with UPLO = 'L' or 'l', the array AP must 69c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* contain the lower triangular matrix packed sequentially, 70c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* column by column, so that AP( 1 ) contains a( 1, 1 ), 71c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) 72c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* respectively, and so on. 73c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Note that when DIAG = 'U' or 'u', the diagonal elements of 74c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* A are not referenced, but are assumed to be unity. 75c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 76c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 77c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* X - COMPLEX*16 array of dimension at least 78c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ( 1 + ( n - 1 )*abs( INCX ) ). 79c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Before entry, the incremented array X must contain the n 80c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* element vector x. On exit, X is overwritten with the 81c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* tranformed vector x. 82c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 83c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* INCX - INTEGER. 84c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* On entry, INCX specifies the increment for the elements of 85c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* X. INCX must not be zero. 86c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Unchanged on exit. 87c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 88c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Further Details 89c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* =============== 90c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 91c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Level 2 Blas routine. 92c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 93c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* -- Written on 22-October-1986. 94c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Jack Dongarra, Argonne National Lab. 95c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Jeremy Du Croz, Nag Central Office. 96c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Sven Hammarling, Nag Central Office. 97c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Richard Hanson, Sandia National Labs. 98c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 99c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* ===================================================================== 100c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 101c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Parameters .. 102c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DOUBLE COMPLEX ZERO 103c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath PARAMETER (ZERO= (0.0D+0,0.0D+0)) 104c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 105c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Local Scalars .. 106c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DOUBLE COMPLEX TEMP 107c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INTEGER I,INFO,IX,J,JX,K,KK,KX 108c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath LOGICAL NOCONJ,NOUNIT 109c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 110c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. External Functions .. 111c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath LOGICAL LSAME 112c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EXTERNAL LSAME 113c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 114c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. External Subroutines .. 115c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EXTERNAL XERBLA 116c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 117c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. Intrinsic Functions .. 118c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INTRINSIC DCONJG 119c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* .. 120c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 121c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Test the input parameters. 122c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 123c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 0 124c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (.NOT.LSAME(UPLO,'U') .AND. .NOT.LSAME(UPLO,'L')) THEN 125c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 1 126c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE IF (.NOT.LSAME(TRANS,'N') .AND. .NOT.LSAME(TRANS,'T') .AND. 127c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath + .NOT.LSAME(TRANS,'C')) THEN 128c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 2 129c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE IF (.NOT.LSAME(DIAG,'U') .AND. .NOT.LSAME(DIAG,'N')) THEN 130c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 3 131c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE IF (N.LT.0) THEN 132c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 4 133c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE IF (INCX.EQ.0) THEN 134c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath INFO = 7 135c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 136c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INFO.NE.0) THEN 137c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CALL XERBLA('ZTPMV ',INFO) 138c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath RETURN 139c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 140c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 141c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Quick return if possible. 142c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 143c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (N.EQ.0) RETURN 144c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 145c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath NOCONJ = LSAME(TRANS,'T') 146c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath NOUNIT = LSAME(DIAG,'N') 147c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 148c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Set up the start point in X if the increment is not unity. This 149c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* will be ( N - 1 )*INCX too small for descending loops. 150c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 151c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INCX.LE.0) THEN 152c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KX = 1 - (N-1)*INCX 153c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE IF (INCX.NE.1) THEN 154c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KX = 1 155c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 156c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 157c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Start the operations. In this version the elements of AP are 158c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* accessed sequentially with one pass through AP. 159c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 160c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (LSAME(TRANS,'N')) THEN 161c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 162c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Form x:= A*x. 163c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 164c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (LSAME(UPLO,'U')) THEN 165c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = 1 166c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INCX.EQ.1) THEN 167c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 20 J = 1,N 168c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (X(J).NE.ZERO) THEN 169c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = X(J) 170c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = KK 171c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 10 I = 1,J - 1 172c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath X(I) = X(I) + TEMP*AP(K) 173c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = K + 1 174c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 10 CONTINUE 175c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) X(J) = X(J)*AP(KK+J-1) 176c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 177c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK + J 178c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 20 CONTINUE 179c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 180c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = KX 181c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 40 J = 1,N 182c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (X(JX).NE.ZERO) THEN 183c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = X(JX) 184c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = KX 185c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 30 K = KK,KK + J - 2 186c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath X(IX) = X(IX) + TEMP*AP(K) 187c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = IX + INCX 188c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 30 CONTINUE 189c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) X(JX) = X(JX)*AP(KK+J-1) 190c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 191c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = JX + INCX 192c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK + J 193c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 40 CONTINUE 194c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 195c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 196c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = (N* (N+1))/2 197c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INCX.EQ.1) THEN 198c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 60 J = N,1,-1 199c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (X(J).NE.ZERO) THEN 200c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = X(J) 201c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = KK 202c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 50 I = N,J + 1,-1 203c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath X(I) = X(I) + TEMP*AP(K) 204c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = K - 1 205c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 50 CONTINUE 206c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) X(J) = X(J)*AP(KK-N+J) 207c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 208c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK - (N-J+1) 209c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 60 CONTINUE 210c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 211c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KX = KX + (N-1)*INCX 212c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = KX 213c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 80 J = N,1,-1 214c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (X(JX).NE.ZERO) THEN 215c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = X(JX) 216c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = KX 217c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 70 K = KK,KK - (N- (J+1)),-1 218c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath X(IX) = X(IX) + TEMP*AP(K) 219c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = IX - INCX 220c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 70 CONTINUE 221c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) X(JX) = X(JX)*AP(KK-N+J) 222c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 223c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = JX - INCX 224c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK - (N-J+1) 225c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 80 CONTINUE 226c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 227c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 228c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 229c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 230c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* Form x := A'*x or x := conjg( A' )*x. 231c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 232c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (LSAME(UPLO,'U')) THEN 233c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = (N* (N+1))/2 234c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INCX.EQ.1) THEN 235c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 110 J = N,1,-1 236c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = X(J) 237c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = KK - 1 238c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOCONJ) THEN 239c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) TEMP = TEMP*AP(KK) 240c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 90 I = J - 1,1,-1 241c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = TEMP + AP(K)*X(I) 242c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = K - 1 243c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 90 CONTINUE 244c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 245c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) TEMP = TEMP*DCONJG(AP(KK)) 246c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 100 I = J - 1,1,-1 247c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = TEMP + DCONJG(AP(K))*X(I) 248c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = K - 1 249c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 100 CONTINUE 250c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 251c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath X(J) = TEMP 252c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK - J 253c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 110 CONTINUE 254c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 255c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = KX + (N-1)*INCX 256c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 140 J = N,1,-1 257c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = X(JX) 258c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = JX 259c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOCONJ) THEN 260c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) TEMP = TEMP*AP(KK) 261c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 120 K = KK - 1,KK - J + 1,-1 262c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = IX - INCX 263c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = TEMP + AP(K)*X(IX) 264c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 120 CONTINUE 265c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 266c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) TEMP = TEMP*DCONJG(AP(KK)) 267c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 130 K = KK - 1,KK - J + 1,-1 268c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = IX - INCX 269c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = TEMP + DCONJG(AP(K))*X(IX) 270c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 130 CONTINUE 271c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 272c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath X(JX) = TEMP 273c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = JX - INCX 274c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK - J 275c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 140 CONTINUE 276c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 277c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 278c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = 1 279c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (INCX.EQ.1) THEN 280c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 170 J = 1,N 281c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = X(J) 282c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = KK + 1 283c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOCONJ) THEN 284c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) TEMP = TEMP*AP(KK) 285c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 150 I = J + 1,N 286c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = TEMP + AP(K)*X(I) 287c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = K + 1 288c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 150 CONTINUE 289c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 290c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) TEMP = TEMP*DCONJG(AP(KK)) 291c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 160 I = J + 1,N 292c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = TEMP + DCONJG(AP(K))*X(I) 293c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath K = K + 1 294c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 160 CONTINUE 295c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 296c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath X(J) = TEMP 297c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK + (N-J+1) 298c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 170 CONTINUE 299c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 300c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = KX 301c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 200 J = 1,N 302c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = X(JX) 303c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = JX 304c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOCONJ) THEN 305c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) TEMP = TEMP*AP(KK) 306c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 180 K = KK + 1,KK + N - J 307c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = IX + INCX 308c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = TEMP + AP(K)*X(IX) 309c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 180 CONTINUE 310c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ELSE 311c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IF (NOUNIT) TEMP = TEMP*DCONJG(AP(KK)) 312c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath DO 190 K = KK + 1,KK + N - J 313c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath IX = IX + INCX 314c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath TEMP = TEMP + DCONJG(AP(K))*X(IX) 315c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 190 CONTINUE 316c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 317c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath X(JX) = TEMP 318c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath JX = JX + INCX 319c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath KK = KK + (N-J+1) 320c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 200 CONTINUE 321c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 322c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 323c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END IF 324c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 325c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath RETURN 326c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 327c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* End of ZTPMV . 328c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath* 329c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath END 330