CDOTC(3)

SYNOPSIS
COMPLEX FUNCTION CDOTC (N, CX, INCX, CY, INCY)

NAME
cdotc - Dot product of two complex vectors using the complex conjugate of the first vector.

LIBRARY
SLATEC (BLAS)

CATEGORY
D1A4

TYPE
COMPLEX (CDOTC-C)

KEYWORDS
BLAS, INNER PRODUCT, LINEAR ALGEBRA, VECTOR

AUTHOR
Lawson, C. L., (JPL) Hanson, R. J., (SNLA) Kincaid, D. R., (U. of Texas) Krogh, F. T., (JPL)

DESCRIPTION
B L A S Subprogram Description of Parameters --Input-- N number of elements in input vector(s) CX complex vector with N elements INCX storage spacing between elements of CX CY complex vector with N elements INCY storage spacing between elements of CY --Output-- CDOTC complex result (zero if N .LE. 0) Returns the dot product of complex CX and CY, using CONJUGATE(CX) CDOTC = SUM for I = 0 to N-1 of CONJ(CX(LX+I*INCX))*CY(LY+I*INCY), where LX = 1 if INCX .GE. 0, else LX = 1+(1-N)*INCX, and LY is defined in a similar way using INCY.

REFERENCES
C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T. Krogh, Basic linear algebra subprograms for Fortran usage, Algorithm No. 539, Transactions on Mathematical Software 5, 3 (September 1979), pp. 308-323.

ROUTINES CALLED
(NONE)

REVISION HISTORY (YYMMDD)
791001 DATE WRITTEN
890831 Modified array declarations. (WRB)
890831 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)
920310 Corrected definition of LX in DESCRIPTION. (WRB)
920501 Reformatted the REFERENCES section. (WRB)