lartv - lartv: apply vector of plane rotations to vectors

Generated automatically by Doxygen for LAPACK from the source code. Version 3.12.0 Thu Aug 7 2025 17:26:25 lartv(3)

subroutineclartv(integern,complex,dimension(*)x,integerincx,complex,dimension(*)y,integerincy,real,dimension(*)c,complex,dimension(*)s,integerincc)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) ) ParametersN 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. subroutinedlartv(integern,doubleprecision,dimension(*)x,integerincx,doubleprecision,dimension(*)y,integerincy,doubleprecision,dimension(*)c,doubleprecision,dimension(*)s,integerincc)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) ) ParametersN 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. subroutineslartv(integern,real,dimension(*)x,integerincx,real,dimension(*)y,integerincy,real,dimension(*)c,real,dimension(*)s,integerincc)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) ) ParametersN 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. subroutinezlartv(integern,complex*16,dimension(*)x,integerincx,complex*16,dimension(*)y,integerincy,doubleprecision,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) ) ParametersN 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.

lartv - lartv: apply vector of plane rotations to vectors

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.