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CCCCHHHHPPPPMMMMVVVV((((3333SSSS)))) CCCCHHHHPPPPMMMMVVVV((((3333SSSS)))) NNNNAAAAMMMMEEEE CCCCHHHHPPPPMMMMVVVV, ZZZZHHHHPPPPMMMMVVVV - Multiplies a complex vector by a packed complex Hermitian matrix SSSSYYYYNNNNOOOOPPPPSSSSIIIISSSS Single precision complex Fortran: CCCCAAAALLLLLLLL CCCCHHHHPPPPMMMMVVVV ((((_u_p_l_o,,,, _n,,,, _a_l_p_h_a,,,, _a_p,,,, _x,,,, _i_n_c_x, _b_e_t_a,,,, _y,,,, _i_n_c_y)))) C/C++: ####iiiinnnncccclllluuuuddddeeee <<<<ssssccccssssllll____bbbbllllaaaassss....hhhh>>>> vvvvooooiiiidddd cccchhhhppppmmmmvvvv ((((cccchhhhaaaarrrr *_u_p_l_o,,,, iiiinnnntttt _n,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_a_l_p_h_a,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_a_p,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_x,,,, iiiinnnntttt _i_n_c_x,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_b_e_t_a,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_y,,,, iiiinnnntttt _i_n_c_y))));;;; C++ STL: ####iiiinnnncccclllluuuuddddeeee <<<<ccccoooommmmpppplllleeeexxxx....hhhh>>>> ####iiiinnnncccclllluuuuddddeeee <<<<ssssccccssssllll____bbbbllllaaaassss....hhhh>>>> vvvvooooiiiidddd cccchhhhppppmmmmvvvv ((((cccchhhhaaaarrrr *_u_p_l_o,,,, iiiinnnntttt _n,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_a_l_p_h_a,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_a_p,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_x,,,, iiiinnnntttt _i_n_c_x,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_b_e_t_a,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_y,,,, iiiinnnntttt _i_n_c_y))));;;; Double precision complex Fortran: CCCCAAAALLLLLLLL ZZZZHHHHPPPPMMMMVVVV ((((_u_p_l_o,,,, _n,,,, _a_l_p_h_a,,,, _a_p,,,, _x,,,, _i_n_c_x, _b_e_t_a,,,, _y,,,, _i_n_c_y)))) C/C++: ####iiiinnnncccclllluuuuddddeeee <<<<ssssccccssssllll____bbbbllllaaaassss....hhhh>>>> vvvvooooiiiidddd zzzzhhhhppppmmmmvvvv ((((cccchhhhaaaarrrr *_u_p_l_o,,,, iiiinnnntttt _n,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx *_a_l_p_h_a,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx *_a_p,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx *_x,,,, iiiinnnntttt _i_n_c_x,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx *_b_e_t_a,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx *_y,,,, iiiinnnntttt _i_n_c_y))));;;; C++ STL: ####iiiinnnncccclllluuuuddddeeee <<<<ccccoooommmmpppplllleeeexxxx....hhhh>>>> ####iiiinnnncccclllluuuuddddeeee <<<<ssssccccssssllll____bbbbllllaaaassss....hhhh>>>> vvvvooooiiiidddd zzzzhhhhppppmmmmvvvv ((((cccchhhhaaaarrrr *_u_p_l_o,,,, iiiinnnntttt _n,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_a_l_p_h_a,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_a_p,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_x,,,, iiiinnnntttt _i_n_c_x,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_b_e_t_a,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_y,,,, iiiinnnntttt _i_n_c_y))));;;; IIIIMMMMPPPPLLLLEEEEMMMMEEEENNNNTTTTAAAATTTTIIIIOOOONNNN These routines are part of the SCSL Scientific Library and can be loaded using either the ----llllssssccccssss or the ----llllssssccccssss____mmmmpppp option. The ----llllssssccccssss____mmmmpppp option directs the linker to use the multi-processor version of the library. When linking to SCSL with ----llllssssccccssss or ----llllssssccccssss____mmmmpppp, the default integer size is 4 bytes (32 bits). Another version of SCSL is available in which integers are 8 bytes (64 bits). This version allows the user access to larger memory sizes and helps when porting legacy Cray codes. It can be loaded by using the ----llllssssccccssss____iiii8888 option or the ----llllssssccccssss____iiii8888____mmmmpppp option. A program may use only one of the two versions; 4-byte integer and 8-byte integer library PPPPaaaaggggeeee 1111 CCCCHHHHPPPPMMMMVVVV((((3333SSSS)))) CCCCHHHHPPPPMMMMVVVV((((3333SSSS)))) calls cannot be mixed. The C and C++ prototypes shown above are appropriate for the 4-byte integer version of SCSL. When using the 8-byte integer version, the variables of type iiiinnnntttt become lllloooonnnngggg lllloooonnnngggg and the <<<<ssssccccssssllll____bbbbllllaaaassss____iiii8888....hhhh>>>> header file should be included. DDDDEEEESSSSCCCCRRRRIIIIPPPPTTTTIIIIOOOONNNN These routines perform the following matrix-vector operation: _y <- _a_l_p_h_a _A_x + _b_e_t_a _y where _a_l_p_h_a and _b_e_t_a are complex scalars, _x and _y are _n-element vectors, and _A is an _n-by-_n packed complex Hermitian matrix. See the NOTES section of this man page for information about the interpretation of the data types described in the following arguments. These routines have the following arguments: _u_p_l_o Character. (input) Specifies whether the upper or lower triangular part of matrix _A is packed into the array argument _a_p, as follows: _u_p_l_o= 'U' or 'u': the upper triangular part of _A is being supplied in the argument _a_p. _u_p_l_o= 'L' or 'l': the lower triangular part of _A is being supplied in the argument _a_p. For C/C++, a pointer to this character is passed. _n Integer. (input) Specifies the order of matrix _A. _n >= 0. _a_l_p_h_a Scalar alpha. CCCCHHHHPPPPMMMMVVVV: Single precision complex. ZZZZHHHHPPPPMMMMVVVV: Double precision complex. For C/C++, a pointer to this scalar is passed. _a_p Array of dimension (_n(_n+1))/2 . (input) CCCCHHHHPPPPMMMMVVVV: Single precision complex array. ZZZZHHHHPPPPMMMMVVVV: Double precision complex array. Before entry with _u_p_l_o = 'U' or 'u', array _a_p must contain the upper triangular part of the Hermitian matrix packed sequentially, column-by-column, so that _a_p(1) contains _A(1,1), _a_p(2) contains _A(1,2), _a_p(3) contains _A(2,2), and so on. Before entry with _u_p_l_o = 'L' or 'l', array _a_p must contain the lower triangular part of the Hermitian matrix packed sequentially, column-by-column, so that _a_p(1) contains _A(1,1), PPPPaaaaggggeeee 2222 CCCCHHHHPPPPMMMMVVVV((((3333SSSS)))) CCCCHHHHPPPPMMMMVVVV((((3333SSSS)))) _a_p(2) contains _A(2,1), _a_p(3) contains _A(3,1), and so on. _x Array of dimension 1+(_n-1) * |_i_n_c_x|. (input) CCCCHHHHPPPPMMMMVVVV: Single precision complex array. ZZZZHHHHPPPPMMMMVVVV: Double precision complex array. Contains vector _x. _i_n_c_x Integer. (input) Specifies the increment for the elements of _x. _i_n_c_x must not be 0. _b_e_t_a Scalar beta. (input) CCCCHHHHPPPPMMMMVVVV: Single precision complex. ZZZZHHHHPPPPMMMMVVVV: Double precision complex. If _b_e_t_a is supplied as 0, _y need not be set on input. For C/C++, a pointer to this scalar is passed. _y Array of dimension 1+(_n-1) * |_i_n_c_y|. (input and output) CCCCHHHHPPPPMMMMVVVV: Single precision complex array. ZZZZHHHHPPPPMMMMVVVV: Double precision complex array. Contains vector _y. On exit, _y is overwritten by updated vector _y. _i_n_c_y Integer. (input) Specifies the increment for the elements of _y. _i_n_c_y must not be 0. NNNNOOOOTTTTEEEESSSS CCCCHHHHPPPPMMMMVVVV/ZZZZHHHHPPPPMMMMVVVV is a Level 2 Basic Linear Algebra Subprogram (Level 2 BLAS). When working backward (_i_n_c_x < 0 or _i_n_c_y < 0), this routine starts at the end of the vector and moves backward, as follows: _x(1-_i_n_c_x * (_n-1)), _x(1-_i_n_c_x * (_n-2)) , ..., _x(1) _y(1-_i_n_c_y * (_n-1)), _y(1-_i_n_c_y * (_n-2)) , ..., _y(1) DDDDaaaattttaaaa TTTTyyyyppppeeeessss The following data types are described in this documentation: TTTTeeeerrrrmmmm UUUUsssseeeedddd DDDDaaaattttaaaa ttttyyyyppppeeee Fortran: Array dimensioned _n xxxx((((nnnn)))) Character CCCCHHHHAAAARRRRAAAACCCCTTTTEEEERRRR PPPPaaaaggggeeee 3333 CCCCHHHHPPPPMMMMVVVV((((3333SSSS)))) CCCCHHHHPPPPMMMMVVVV((((3333SSSS)))) Integer IIIINNNNTTTTEEEEGGGGEEEERRRR (IIIINNNNTTTTEEEEGGGGEEEERRRR****8888 for ----llllssssccccssss____iiii8888[[[[____mmmmpppp]]]]) Single precision complex CCCCOOOOMMMMPPPPLLLLEEEEXXXX Double precision complex DDDDOOOOUUUUBBBBLLLLEEEE CCCCOOOOMMMMPPPPLLLLEEEEXXXX C/C++: Array dimensioned _n xxxx[[[[_n]]]] Character cccchhhhaaaarrrr Integer iiiinnnntttt (lllloooonnnngggg lllloooonnnngggg for ----llllssssccccssss____iiii8888[[[[____mmmmpppp]]]]) Single precision complex ssssccccssssllll____ccccoooommmmpppplllleeeexxxx Double precision complex ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx C++ STL: Array dimensioned _n xxxx[[[[_n]]]] Character cccchhhhaaaarrrr Integer iiiinnnntttt (lllloooonnnngggg lllloooonnnngggg for ----llllssssccccssss____iiii8888[[[[____mmmmpppp]]]]) Single precision complex ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> Double precision complex ccccoooommmmpppplllleeeexxxx<<<<ddddoooouuuubbbblllleeee>>>> SSSSEEEEEEEE AAAALLLLSSSSOOOO IIIINNNNTTTTRRRROOOO____SSSSCCCCSSSSLLLL(3S), IIIINNNNTTTTRRRROOOO____BBBBLLLLAAAASSSS2222(3S), SSSSSSSSPPPPMMMMVVVV(3S) IIIINNNNTTTTRRRROOOO____CCCCBBBBLLLLAAAASSSS(3S) for information about using the C interface to Fortran 77 Basic Linear Algebra Subprograms (legacy BLAS) set forth by the Basic Linear Algebra Subprograms Technical Forum. PPPPaaaaggggeeee 4444 
