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

408 HP MLIB User’s Guide
F_STRMV/F_DTRMV/F_CTRMV/F_ZTRMV Triangular matrix-vector multiply
Name F_STRMV/F_DTRMV/F_CTRMV/F_ZTRMV
Triangular matrix-vector multiply
Purpose F_xTRMV multiplies a vector x by a general triangular matrix (T), its
transpose (T
T
), or its conjugate transpose (T*), and copies the resulting vector
to the vector operand x. If n is less than or equal to zero, this routine returns
immediately.
Refer to “STRMV/DTRMV/CTRMV/ZTRMV” on page 323 for a description of
the equivalent HP MLIB legacy BLAS subprograms.
Matrix
Storage
For these subprograms, you supply A in a two-dimensional array large enough
to hold a square matrix. The other triangle of the array is not referenced. If A
has an unstored unit diagonal (see input argument DIAG), then the diagonal
elements of the array also is not referenced.
Usage VECLIB
INTEGER*4 DIAG, INCX, LDA, N, TRANS, UPLO
REAL*4 ALPHA
REAL*4 A( LDA, * ), X( * )
SUBROUTINE F_STRMV (UPLO, TRANS, DIAG, N, ALPHA, A, LDA, X,
INCX)
INTEGER*4 DIAG, INCX, LDA, N, TRANS, UPLO
REAL*8 ALPHA
REAL*8 A( LDA, * ), X( * )
SUBROUTINE F_DTRMV (UPLO, TRANS, DIAG, N, ALPHA, A, LDA, X,
INCX)
INTEGER*4 DIAG, INCX, LDA, N, TRANS, UPLO
COMPLEX*8 ALPHA
COMPLEX*8 A( LDA, * ), X( * )
SUBROUTINE F_CTRMV (UPLO, TRANS, DIAG, N, ALPHA, A, LDA, X,
INCX)
x αTx←
x αT
T
x←
x αT
∗
x←