lartv(3) Library Functions Manual lartv(3) NAME lartv - lartv: apply vector of plane rotations to vectors SYNOPSIS Functions subroutine clartv (n, x, incx, y, incy, c, s, incc) CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. subroutine dlartv (n, x, incx, y, incy, c, s, incc) DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. subroutine slartv (n, x, incx, y, incy, c, s, incc) SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. 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. Detailed Description Function Documentation subroutine clartv (integer n, complex, dimension( * ) x, integer incx, complex, dimension( * ) y, integer incy, real, dimension( * ) c, complex, dimension( * ) s, integer incc) CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. Purpose: CLARTV 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 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 array, dimension (1+(N-1)*INCY) The vector y. INCY INCY is INTEGER The increment between elements of Y. INCY > 0. C C is REAL array, dimension (1+(N-1)*INCC) The cosines of the plane rotations. S S is COMPLEX 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. Definition at line 106 of file clartv.f. subroutine dlartv (integer n, double precision, dimension( * ) x, integer incx, double precision, dimension( * ) y, integer incy, double precision, dimension( * ) c, double precision, dimension( * ) s, integer incc) DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. Purpose: DLARTV applies a vector of real plane rotations to elements of the real vectors x and y. For i = 1,2,...,n ( x(i) ) := ( c(i) s(i) ) ( x(i) ) ( y(i) ) ( -s(i) c(i) ) ( y(i) ) Parameters N N is INTEGER The number of plane rotations to be applied. X X is DOUBLE PRECISION array, dimension (1+(N-1)*INCX) The vector x. INCX INCX is INTEGER The increment between elements of X. INCX > 0. Y Y is DOUBLE PRECISION 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 DOUBLE PRECISION 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. Definition at line 107 of file dlartv.f. subroutine slartv (integer n, real, dimension( * ) x, integer incx, real, dimension( * ) y, integer incy, real, dimension( * ) c, real, dimension( * ) s, integer incc) SLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. Purpose: SLARTV applies a vector of real plane rotations to elements of the real vectors x and y. For i = 1,2,...,n ( x(i) ) := ( c(i) s(i) ) ( x(i) ) ( y(i) ) ( -s(i) c(i) ) ( y(i) ) Parameters N N is INTEGER The number of plane rotations to be applied. X X is REAL array, dimension (1+(N-1)*INCX) The vector x. INCX INCX is INTEGER The increment between elements of X. INCX > 0. Y Y is REAL array, dimension (1+(N-1)*INCY) The vector y. INCY INCY is INTEGER The increment between elements of Y. INCY > 0. C C is REAL array, dimension (1+(N-1)*INCC) The cosines of the plane rotations. S S is REAL 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. Definition at line 107 of file slartv.f. subroutine zlartv (integer n, complex*16, dimension( * ) x, integer incx, complex*16, dimension( * ) y, integer incy, double precision, dimension( * ) c, complex*16, dimension( * ) s, integer incc) 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. Definition at line 106 of file zlartv.f. Author Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 lartv(3)