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

Chapter 3 Basic Matrix Operations 237
Rank-1 update SGER/DGER/CGERC/CGERU/ZGERC/ZGERU
Name SGER/DGER/CGERC/CGERU/ZGERC/ZGERU
Rank-1 update
Purpose These subprograms compute the rank-1 updates
where A is an m-by-n matrix, α is a scalar, x is an m-vector, y is an n-vector, and
y
T
and y* are the transpose and conjugate transpose of y, respectively.
Refer to “F_SGER/F_DGER/F_CGER/F_ZGER” on page 375 for a description of
the BLAS Standard subprograms for general rank-1 update.
Usage VECLIB:
INTEGER*4 m, n, lda, incx, incy
REAL*4 alpha, a(lda, n), x(lenx), y(leny)
CALL SGER(m, n, alpha, x, incx, y, incy, a, lda)
INTEGER*4 m, n, lda, incx, incy
REAL*8 alpha, a(lda, n), x(lenx), y(leny)
CALL DGER(m, n, alpha, x, incx, y, incy, a, lda)
INTEGER*4 m, n, lda, incx, incy
COMPLEX*8 alpha, a(lda, n), x(lenx), y(leny)
CALL CGERC(m, n, alpha, x, incx, y, incy, a, lda)
INTEGER*4 m, n, lda, incx, incy
COMPLEX*8 alpha, a(lda, n), x(lenx), y(leny)
CALL CGERU(m, n, alpha, x, incx, y, incy, a, lda)
INTEGER*4 m, n, lda, incx, incy
COMPLEX*16 alpha, a(lda, n), x(lenx), y(leny)
CALL ZGERC(m, n, alpha, x, incx, y, incy, a, lda)
INTEGER*4 m, n, lda, incx, incy
COMPLEX*16 alpha, a(lda, n), x(lenx), y(leny)
CALL ZGERU(m, n, alpha, x, incx, y, incy, a, lda)
VECLIB8:
INTEGER*8 m, n, lda, incx, incy
REAL*4 alpha, a(lda, n), x(lenx), y(leny)
CALL SGER(m, n, alpha, x, incx, y, incy, a, lda)
Aaxy
T
← A+ and Aaxy*← A,+