Annotation of rpl/lapack/lapack/zlartv.f, revision 1.8
1.8 ! bertrand 1: *> \brief \b ZLARTV
! 2: *
! 3: * =========== DOCUMENTATION ===========
! 4: *
! 5: * Online html documentation available at
! 6: * http://www.netlib.org/lapack/explore-html/
! 7: *
! 8: *> \htmlonly
! 9: *> Download ZLARTV + dependencies
! 10: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlartv.f">
! 11: *> [TGZ]</a>
! 12: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlartv.f">
! 13: *> [ZIP]</a>
! 14: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlartv.f">
! 15: *> [TXT]</a>
! 16: *> \endhtmlonly
! 17: *
! 18: * Definition:
! 19: * ===========
! 20: *
! 21: * SUBROUTINE ZLARTV( N, X, INCX, Y, INCY, C, S, INCC )
! 22: *
! 23: * .. Scalar Arguments ..
! 24: * INTEGER INCC, INCX, INCY, N
! 25: * ..
! 26: * .. Array Arguments ..
! 27: * DOUBLE PRECISION C( * )
! 28: * COMPLEX*16 S( * ), X( * ), Y( * )
! 29: * ..
! 30: *
! 31: *
! 32: *> \par Purpose:
! 33: * =============
! 34: *>
! 35: *> \verbatim
! 36: *>
! 37: *> ZLARTV applies a vector of complex plane rotations with real cosines
! 38: *> to elements of the complex vectors x and y. For i = 1,2,...,n
! 39: *>
! 40: *> ( x(i) ) := ( c(i) s(i) ) ( x(i) )
! 41: *> ( y(i) ) ( -conjg(s(i)) c(i) ) ( y(i) )
! 42: *> \endverbatim
! 43: *
! 44: * Arguments:
! 45: * ==========
! 46: *
! 47: *> \param[in] N
! 48: *> \verbatim
! 49: *> N is INTEGER
! 50: *> The number of plane rotations to be applied.
! 51: *> \endverbatim
! 52: *>
! 53: *> \param[in,out] X
! 54: *> \verbatim
! 55: *> X is COMPLEX*16 array, dimension (1+(N-1)*INCX)
! 56: *> The vector x.
! 57: *> \endverbatim
! 58: *>
! 59: *> \param[in] INCX
! 60: *> \verbatim
! 61: *> INCX is INTEGER
! 62: *> The increment between elements of X. INCX > 0.
! 63: *> \endverbatim
! 64: *>
! 65: *> \param[in,out] Y
! 66: *> \verbatim
! 67: *> Y is COMPLEX*16 array, dimension (1+(N-1)*INCY)
! 68: *> The vector y.
! 69: *> \endverbatim
! 70: *>
! 71: *> \param[in] INCY
! 72: *> \verbatim
! 73: *> INCY is INTEGER
! 74: *> The increment between elements of Y. INCY > 0.
! 75: *> \endverbatim
! 76: *>
! 77: *> \param[in] C
! 78: *> \verbatim
! 79: *> C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
! 80: *> The cosines of the plane rotations.
! 81: *> \endverbatim
! 82: *>
! 83: *> \param[in] S
! 84: *> \verbatim
! 85: *> S is COMPLEX*16 array, dimension (1+(N-1)*INCC)
! 86: *> The sines of the plane rotations.
! 87: *> \endverbatim
! 88: *>
! 89: *> \param[in] INCC
! 90: *> \verbatim
! 91: *> INCC is INTEGER
! 92: *> The increment between elements of C and S. INCC > 0.
! 93: *> \endverbatim
! 94: *
! 95: * Authors:
! 96: * ========
! 97: *
! 98: *> \author Univ. of Tennessee
! 99: *> \author Univ. of California Berkeley
! 100: *> \author Univ. of Colorado Denver
! 101: *> \author NAG Ltd.
! 102: *
! 103: *> \date November 2011
! 104: *
! 105: *> \ingroup complex16OTHERauxiliary
! 106: *
! 107: * =====================================================================
1.1 bertrand 108: SUBROUTINE ZLARTV( N, X, INCX, Y, INCY, C, S, INCC )
109: *
1.8 ! bertrand 110: * -- LAPACK auxiliary routine (version 3.4.0) --
1.1 bertrand 111: * -- LAPACK is a software package provided by Univ. of Tennessee, --
112: * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
1.8 ! bertrand 113: * November 2011
1.1 bertrand 114: *
115: * .. Scalar Arguments ..
116: INTEGER INCC, INCX, INCY, N
117: * ..
118: * .. Array Arguments ..
119: DOUBLE PRECISION C( * )
120: COMPLEX*16 S( * ), X( * ), Y( * )
121: * ..
122: *
123: * =====================================================================
124: *
125: * .. Local Scalars ..
126: INTEGER I, IC, IX, IY
127: COMPLEX*16 XI, YI
128: * ..
129: * .. Intrinsic Functions ..
130: INTRINSIC DCONJG
131: * ..
132: * .. Executable Statements ..
133: *
134: IX = 1
135: IY = 1
136: IC = 1
137: DO 10 I = 1, N
138: XI = X( IX )
139: YI = Y( IY )
140: X( IX ) = C( IC )*XI + S( IC )*YI
141: Y( IY ) = C( IC )*YI - DCONJG( S( IC ) )*XI
142: IX = IX + INCX
143: IY = IY + INCY
144: IC = IC + INCC
145: 10 CONTINUE
146: RETURN
147: *
148: * End of ZLARTV
149: *
150: END
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