# zrot.f(3) [centos man page]

zrot.f(3) LAPACK zrot.f(3)NAME

zrot.f-SYNOPSIS

Functions/Subroutines subroutine zrot (N, CX, INCX, CY, INCY, C, S) ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.Function/Subroutine Documentation subroutine zrot (integerN, complex*16, dimension( * )CX, integerINCX, complex*16, dimension( * )CY, integerINCY, double precisionC, complex*16S) ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors. Purpose: ZROT applies a plane rotation, where the cos (C) is real and the sin (S) is complex, and the vectors CX and CY are complex. Parameters: N N is INTEGER The number of elements in the vectors CX and CY. CX CX is COMPLEX*16 array, dimension (N) On input, the vector X. On output, CX is overwritten with C*X + S*Y. INCX INCX is INTEGER The increment between successive values of CY. INCX <> 0. CY CY is COMPLEX*16 array, dimension (N) On input, the vector Y. On output, CY is overwritten with -CONJG(S)*X + C*Y. INCY INCY is INTEGER The increment between successive values of CY. INCX <> 0. C C is DOUBLE PRECISION S S is COMPLEX*16 C and S define a rotation [ C S ] [ -conjg(S) C ] where C*C + S*CONJG(S) = 1.0. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Definition at line 104 of file zrot.f.AuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.2Tue Sep 25 2012 zrot.f(3)

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zlartv.f(3) LAPACK zlartv.f(3)NAME

zlartv.f-SYNOPSIS

Functions/Subroutines subroutine zlartv (N, X, INCX, Y, INCY, C, S, INCC) ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.Function/Subroutine Documentation subroutine zlartv (integerN, complex*16, dimension( * )X, integerINCX, complex*16, dimension( * )Y, integerINCY, double precision, dimension( * )C, complex*16, dimension( * )S, integerINCC) ZLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. Purpose: ZLARTV applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y. For i = 1,2,...,n ( x(i) ) := ( c(i) s(i) ) ( x(i) ) ( y(i) ) ( -conjg(s(i)) c(i) ) ( y(i) ) Parameters: N N is INTEGER The number of plane rotations to be applied. X X is COMPLEX*16 array, dimension (1+(N-1)*INCX) The vector x. INCX INCX is INTEGER The increment between elements of X. INCX > 0. Y Y is COMPLEX*16 array, dimension (1+(N-1)*INCY) The vector y. INCY INCY is INTEGER The increment between elements of Y. INCY > 0. C C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC) The cosines of the plane rotations. S S is COMPLEX*16 array, dimension (1+(N-1)*INCC) The sines of the plane rotations. INCC INCC is INTEGER The increment between elements of C and S. INCC > 0. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Definition at line 108 of file zlartv.f.AuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.2Tue Sep 25 2012 zlartv.f(3)