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SAXPBY(3S)							    SAXPBY(3S)

NAME
     SAXPBY, DAXPBY, CAXPBY, ZAXPBY - Adds a scalar multiple of a Single
     precision or complex vector x to a scalar multiple of another Single
     precision or complex vector y

SYNOPSIS
     Single precision

	  Fortran:
	       CALL SAXPBY (n, alpha, x, incx, beta, y, incy)

	  C/C++:
	       #include <scsl_blas.h>
	       void saxpby( int n, float alpha, float *x, int incx, float
	       beta, float *y, int incy );
     Double precision

	  Fortran:
	       CALL DAXPBY (n, alpha, x, incx, beta, y, incy)

	  C/C++:
	       #include <scsl_blas.h>
	       void daxpby( int n, double alpha, double *x, int incx, double
	       beta, double *y, int incy );

     Single precision complex

	  Fortran:
	       CALL CAXPBY (n, alpha, x, incx, beta, y, incy)

	  C/C++:
	       #include <scsl_blas.h>
	       void caxpby( int n, scsl_complex *alpha, scsl_complex *x, int
	       incx, scsl_complex *beta, scsl_complex *y, int incy );

	  C++ STL:
	       #include <complex.h>
	       #include <scsl_blas.h>
	       void caxpby( int n, complex<float> *alpha, complex<float>
	       *x,int incx, complex<float> *beta, complex<float> *y, int incy
	       );

     Double precision complex

	  Fortran:

	       CALL ZAXPBY (n, alpha, x, incx, beta, y, incy)

	  C/C++:
	       #include <scsl_blas.h>
	       void zaxpby( int n, scsl_zomplex *alpha, scsl_zomplex *x, int
	       incx, scsl_zomplex *beta, scsl_zomplex *y, int incy );

									Page 1

SAXPBY(3S)							    SAXPBY(3S)

	  C++ STL:
	       #include <complex.h>
	       #include <scsl_blas.h>
	       void zaxpby( int n, complex<double> *alpha, complex<double> *x,
	       int incx, complex<double> *beta, complex<double> *y, int incy
	       );

IMPLEMENTATION
     These routines are part of the SCSL Scientific Library and can be loaded
     using either the -lscs or the -lscs_mp option.  The -lscs_mp option
     directs the linker to use the multi-processor version of the library.

     When linking to SCSL with -lscs or -lscs_mp, the default integer size is
     4 bytes (32 bits). Another version of SCSL is available in which integers
     are 8 bytes (64 bits).  This version allows the user access to larger
     memory sizes and helps when porting legacy Cray codes.  It can be loaded
     by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use
     only one of the two versions; 4-byte integer and 8-byte integer library
     calls cannot be mixed.

     The C and C++ prototypes shown above are appropriate for the 4-byte
     integer version of SCSL. When using the 8-byte integer version, the
     variables of type int become long long and the <scsl_blas_i8.h> header
     file should be included.

DESCRIPTION
     SAXPBY/DAXPBY adds a scalar multiple of a real vector x to a scalar
     multiple of a real vector y.

     CAXPBY/ZAXPBY adds a scalar multiple of a complex vector x to a scalar
     multiple of a complex vector y:

	  y <- alpha x + beta y

     where x and y are n-vectors and alpha and beta are scalars.

     The following special cases are recognized:

     *	 alpha = 0:  equivalent to SSCAL, DSCAL, CSCAL, ZSCAL

     *	 alpha = 1, beta = 0:  equivalent to SCOPY, CCOPY, DCOPY, ZCOPY

     *	 alpha not equal to 1, beta = 0:  like SCOPY, CCOPY, DCOPY, ZCOPY with
	 scaling

     *	 alpha not equal to 0, beta = 1:  equivalent to SAXPY, CAXPY, DAXPY,
	 ZAXPY

     See the NOTES section of this man page for information about the
     interpretation of the data types described in the following arguments.

									Page 2

SAXPBY(3S)							    SAXPBY(3S)

     These routines have the following arguments:

     n	       Integer.	 (input)
	       Number of elements of the vectors x and y.

     alpha     Scalar alpha (input).
	       SAXPBY: Single precision.
	       DAXPBY:	Double precision.
	       CAXPBY: Single precision complex.
	       ZAXPBY:	Double precision complex.

	       For C/C++, a pointer to this scalar is passed when alpha is
	       complex; otherwise, alpha is passed by value.

     x	       Array of dimension (1+(n-1) *|incx|).  (input)
	       SAXPBY: Single precision array.
	       DAXPBY: Double precision array.
	       CAXPBY: Single precision omplex array.
	       ZAXPBY: Double precision complex array.
	       The vector x.  If incx > 0, the i-th element of the vector x is
	       located in x(1+(i-1) * |incx|).	If incx < 0, the i-th element
	       of the vector x is located in x(1+(n-i) * |incx|).

     incx      Integer.	 (input)
	       Increment between elements of the vector x.  If incx < 0, x is
	       processed in reverse order.

     beta      Scalar beta. (input)
	       SAXPBY: Single precision scalar.
	       DAXPBY:	Double precision scalar.
	       CAXPBY: Single precision complex scalar.
	       ZAXPBY:	Double precision complex scalar.

	       For C/C++, a pointer to this scalar is passed when beta is
	       complex; otherwise, beta is passed by value.

     y	       Array of dimension (1+(n-1) * |incy|).  (input/output)
	       SAXPBY: Single precision array.
	       DAXPBY: Double precision array.
	       CAXPBY: Single precision complex array.
	       ZAXPBY: Double complex array.
	       On entry, the vector y.	If incy > 0, the i-th element of the
	       vector y is located in y(1+(i-1) * |incy|).  If incy < 0, the
	       i-th element of the vector y is located in y(1+(n-i) * |incy|).

	       On exit, y is overwritten with the vector sum alphax+ betay.

     incy      Integer.	 (input)
	       Increment between elements of y.	 If incy < 0, y is processed
	       in reverse order.

									Page 3

SAXPBY(3S)							    SAXPBY(3S)

NOTES
     These routines are extensions to the Level 1 Basic Linear Algebra
     Subprograms (Level 1 BLAS).

   Data Types
     The following data types are described in this documentation:

     Term Used				Data type

     Fortran:

	  Array dimensioned n		x(n)

	  Character			CHARACTER

	  Integer			INTEGER (INTEGER*8 for -lscs_i8[_mp])

	  Single precision		REAL

	  Double precision		DOUBLE PRECISION

	  Single precision complex	COMPLEX

	  Double precision complex	DOUBLE COMPLEX

     C/C++:

	  Array dimensioned n		x[n]

	  Character			char

	  Integer			int (long long for -lscs_i8[_mp])

	  Single precision		float

	  Double precision		double

	  Single precision complex	scsl_complex

	  Double precision complex	scsl_zomplex

     C++ STL:

	  Array dimensioned n		x[n]

	  Character			char

	  Integer			int (long long for -lscs_i8[_mp])

									Page 4

SAXPBY(3S)							    SAXPBY(3S)

	  Single precision		float

	  Double precision		double

	  Single precision complex	complex<float>

	  Double precision complex	complex<double>

SEE ALSO
     INTRO_SCSL(3S), INTRO_BLAS1(3S)

     INTRO_CBLAS(3S) for information about using the C interface to Fortran 77
     Basic Linear Algebra Subprograms (legacy BLAS) set forth by the Basic
     Linear Algebra Subprograms Technical Forum.

									Page 5

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