.TH "complex16_blas_level1" 3 "Sat Aug 1 2020" "Version 3.9.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME complex16_blas_level1 .SH SYNOPSIS .br .PP .SS "Functions" .in +1c .ti -1c .RI "subroutine \fBzaxpy\fP (N, ZA, ZX, INCX, ZY, INCY)" .br .RI "\fBZAXPY\fP " .ti -1c .RI "subroutine \fBzcopy\fP (N, ZX, INCX, ZY, INCY)" .br .RI "\fBZCOPY\fP " .ti -1c .RI "complex *16 function \fBzdotc\fP (N, ZX, INCX, ZY, INCY)" .br .RI "\fBZDOTC\fP " .ti -1c .RI "complex *16 function \fBzdotu\fP (N, ZX, INCX, ZY, INCY)" .br .RI "\fBZDOTU\fP " .ti -1c .RI "subroutine \fBzdrot\fP (N, CX, INCX, CY, INCY, C, S)" .br .RI "\fBZDROT\fP " .ti -1c .RI "subroutine \fBzdscal\fP (N, DA, ZX, INCX)" .br .RI "\fBZDSCAL\fP " .ti -1c .RI "subroutine \fBzrotg\fP (CA, CB, C, S)" .br .RI "\fBZROTG\fP " .ti -1c .RI "subroutine \fBzscal\fP (N, ZA, ZX, INCX)" .br .RI "\fBZSCAL\fP " .ti -1c .RI "subroutine \fBzswap\fP (N, ZX, INCX, ZY, INCY)" .br .RI "\fBZSWAP\fP " .in -1c .SH "Detailed Description" .PP This is the group of complex16 LEVEL 1 BLAS routines\&. .SH "Function Documentation" .PP .SS "subroutine zaxpy (integer N, complex*16 ZA, complex*16, dimension(*) ZX, integer INCX, complex*16, dimension(*) ZY, integer INCY)" .PP \fBZAXPY\fP .PP \fBPurpose:\fP .RS 4 .PP .nf ZAXPY constant times a vector plus a vector. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER number of elements in input vector(s) .fi .PP .br \fIZA\fP .PP .nf ZA is COMPLEX*16 On entry, ZA specifies the scalar alpha. .fi .PP .br \fIZX\fP .PP .nf ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) .fi .PP .br \fIINCX\fP .PP .nf INCX is INTEGER storage spacing between elements of ZX .fi .PP .br \fIZY\fP .PP .nf ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) .fi .PP .br \fIINCY\fP .PP .nf INCY is INTEGER storage spacing between elements of ZY .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate\fP .RS 4 November 2017 .RE .PP \fBFurther Details:\fP .RS 4 .PP .nf jack dongarra, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) .fi .PP .RE .PP .SS "subroutine zcopy (integer N, complex*16, dimension(*) ZX, integer INCX, complex*16, dimension(*) ZY, integer INCY)" .PP \fBZCOPY\fP .PP \fBPurpose:\fP .RS 4 .PP .nf ZCOPY copies a vector, x, to a vector, y. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER number of elements in input vector(s) .fi .PP .br \fIZX\fP .PP .nf ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) .fi .PP .br \fIINCX\fP .PP .nf INCX is INTEGER storage spacing between elements of ZX .fi .PP .br \fIZY\fP .PP .nf ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) .fi .PP .br \fIINCY\fP .PP .nf INCY is INTEGER storage spacing between elements of ZY .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate\fP .RS 4 November 2017 .RE .PP \fBFurther Details:\fP .RS 4 .PP .nf jack dongarra, linpack, 4/11/78. modified 12/3/93, array(1) declarations changed to array(*) .fi .PP .RE .PP .SS "complex*16 function zdotc (integer N, complex*16, dimension(*) ZX, integer INCX, complex*16, dimension(*) ZY, integer INCY)" .PP \fBZDOTC\fP .PP \fBPurpose:\fP .RS 4 .PP .nf ZDOTC forms the dot product of two complex vectors ZDOTC = X^H * Y .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER number of elements in input vector(s) .fi .PP .br \fIZX\fP .PP .nf ZX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) .fi .PP .br \fIINCX\fP .PP .nf INCX is INTEGER storage spacing between elements of ZX .fi .PP .br \fIZY\fP .PP .nf ZY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) .fi .PP .br \fIINCY\fP .PP .nf INCY is INTEGER storage spacing between elements of ZY .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate\fP .RS 4 November 2017 .RE .PP \fBFurther Details:\fP .RS 4 .PP .nf jack dongarra, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) .fi .PP .RE .PP .SS "complex*16 function zdotu (integer N, complex*16, dimension(*) ZX, integer INCX, complex*16, dimension(*) ZY, integer INCY)" .PP \fBZDOTU\fP .PP \fBPurpose:\fP .RS 4 .PP .nf ZDOTU forms the dot product of two complex vectors ZDOTU = X^T * Y .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER number of elements in input vector(s) .fi .PP .br \fIZX\fP .PP .nf ZX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) .fi .PP .br \fIINCX\fP .PP .nf INCX is INTEGER storage spacing between elements of ZX .fi .PP .br \fIZY\fP .PP .nf ZY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) .fi .PP .br \fIINCY\fP .PP .nf INCY is INTEGER storage spacing between elements of ZY .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate\fP .RS 4 November 2017 .RE .PP \fBFurther Details:\fP .RS 4 .PP .nf jack dongarra, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) .fi .PP .RE .PP .SS "subroutine zdrot (integer N, complex*16, dimension( * ) CX, integer INCX, complex*16, dimension( * ) CY, integer INCY, double precision C, double precision S)" .PP \fBZDROT\fP .PP \fBPurpose:\fP .RS 4 .PP .nf Applies a plane rotation, where the cos and sin (c and s) are real and the vectors cx and cy are complex. jack dongarra, linpack, 3/11/78. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER On entry, N specifies the order of the vectors cx and cy. N must be at least zero. .fi .PP .br \fICX\fP .PP .nf CX is COMPLEX*16 array, dimension at least ( 1 + ( N - 1 )*abs( INCX ) ). Before entry, the incremented array CX must contain the n element vector cx. On exit, CX is overwritten by the updated vector cx. .fi .PP .br \fIINCX\fP .PP .nf INCX is INTEGER On entry, INCX specifies the increment for the elements of CX. INCX must not be zero. .fi .PP .br \fICY\fP .PP .nf CY is COMPLEX*16 array, dimension at least ( 1 + ( N - 1 )*abs( INCY ) ). Before entry, the incremented array CY must contain the n element vector cy. On exit, CY is overwritten by the updated vector cy. .fi .PP .br \fIINCY\fP .PP .nf INCY is INTEGER On entry, INCY specifies the increment for the elements of CY. INCY must not be zero. .fi .PP .br \fIC\fP .PP .nf C is DOUBLE PRECISION On entry, C specifies the cosine, cos. .fi .PP .br \fIS\fP .PP .nf S is DOUBLE PRECISION On entry, S specifies the sine, sin. .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate\fP .RS 4 December 2016 .RE .PP .SS "subroutine zdscal (integer N, double precision DA, complex*16, dimension(*) ZX, integer INCX)" .PP \fBZDSCAL\fP .PP \fBPurpose:\fP .RS 4 .PP .nf ZDSCAL scales a vector by a constant. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER number of elements in input vector(s) .fi .PP .br \fIDA\fP .PP .nf DA is DOUBLE PRECISION On entry, DA specifies the scalar alpha. .fi .PP .br \fIZX\fP .PP .nf ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) .fi .PP .br \fIINCX\fP .PP .nf INCX is INTEGER storage spacing between elements of ZX .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate\fP .RS 4 November 2017 .RE .PP \fBFurther Details:\fP .RS 4 .PP .nf jack dongarra, 3/11/78. modified 3/93 to return if incx .le. 0. modified 12/3/93, array(1) declarations changed to array(*) .fi .PP .RE .PP .SS "subroutine zrotg (complex*16 CA, complex*16 CB, double precision C, complex*16 S)" .PP \fBZROTG\fP .PP \fBPurpose:\fP .RS 4 .PP .nf ZROTG determines a double complex Givens rotation. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fICA\fP .PP .nf CA is COMPLEX*16 .fi .PP .br \fICB\fP .PP .nf CB is COMPLEX*16 .fi .PP .br \fIC\fP .PP .nf C is DOUBLE PRECISION .fi .PP .br \fIS\fP .PP .nf S is COMPLEX*16 .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate\fP .RS 4 November 2017 .RE .PP .SS "subroutine zscal (integer N, complex*16 ZA, complex*16, dimension(*) ZX, integer INCX)" .PP \fBZSCAL\fP .PP \fBPurpose:\fP .RS 4 .PP .nf ZSCAL scales a vector by a constant. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER number of elements in input vector(s) .fi .PP .br \fIZA\fP .PP .nf ZA is COMPLEX*16 On entry, ZA specifies the scalar alpha. .fi .PP .br \fIZX\fP .PP .nf ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) .fi .PP .br \fIINCX\fP .PP .nf INCX is INTEGER storage spacing between elements of ZX .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate\fP .RS 4 November 2017 .RE .PP \fBFurther Details:\fP .RS 4 .PP .nf jack dongarra, 3/11/78. modified 3/93 to return if incx .le. 0. modified 12/3/93, array(1) declarations changed to array(*) .fi .PP .RE .PP .SS "subroutine zswap (integer N, complex*16, dimension(*) ZX, integer INCX, complex*16, dimension(*) ZY, integer INCY)" .PP \fBZSWAP\fP .PP \fBPurpose:\fP .RS 4 .PP .nf ZSWAP interchanges two vectors. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIN\fP .PP .nf N is INTEGER number of elements in input vector(s) .fi .PP .br \fIZX\fP .PP .nf ZX is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCX ) ) .fi .PP .br \fIINCX\fP .PP .nf INCX is INTEGER storage spacing between elements of ZX .fi .PP .br \fIZY\fP .PP .nf ZY is COMPLEX*16 array, dimension ( 1 + ( N - 1 )*abs( INCY ) ) .fi .PP .br \fIINCY\fP .PP .nf INCY is INTEGER storage spacing between elements of ZY .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate\fP .RS 4 November 2017 .RE .PP \fBFurther Details:\fP .RS 4 .PP .nf jack dongarra, 3/11/78. modified 12/3/93, array(1) declarations changed to array(*) .fi .PP .RE .PP .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.