home *** CD-ROM | disk | FTP | other *** search
CCCCHHHHPPPPRRRR2222((((3333SSSS)))) CCCCHHHHPPPPRRRR2222((((3333SSSS)))) NNNNAAAAMMMMEEEE CCCCHHHHPPPPRRRR2222, ZZZZHHHHPPPPRRRR2222 - Performs Hermitian rank 2 update of a packed complex Hermitian matrix SSSSYYYYNNNNOOOOPPPPSSSSIIIISSSS Single precision complex Fortran: CCCCAAAALLLLLLLL CCCCHHHHPPPPRRRR2222 ((((_u_p_l_o,,,, _n,,,, _a_l_p_h_a,,,, _x,,,, _i_n_c_x,,,, _y,,,, _i_n_c_y,,,, _a_p)))) C/C++: ####iiiinnnncccclllluuuuddddeeee <<<<ssssccccssssllll____bbbbllllaaaassss....hhhh>>>> vvvvooooiiiidddd cccchhhhpppprrrr2222 ((((cccchhhhaaaarrrr _u_p_l_o,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_n,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_a_l_p_h_a,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_x,,,, iiiinnnntttt _i_n_c_x,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_y,,,, iiiinnnntttt _i_n_c_y,,,, ssssccccssssllll____ccccoooommmmpppplllleeeexxxx *_a_p))));;;; C++ STL: ####iiiinnnncccclllluuuuddddeeee <<<<ccccoooommmmpppplllleeeexxxx....hhhh>>>> ####iiiinnnncccclllluuuuddddeeee <<<<ssssccccssssllll____bbbbllllaaaassss....hhhh>>>> vvvvooooiiiidddd cccchhhhpppprrrr2222 ((((cccchhhhaaaarrrr _u_p_l_o,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_n,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_a_l_p_h_a,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_x,,,, iiiinnnntttt _i_n_c_x,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_y,,,, iiiinnnntttt _i_n_c_y,,,, ccccoooommmmpppplllleeeexxxx<<<<ffffllllooooaaaatttt>>>> *_a_p))));;;; Double precision complex Fortran: CCCCAAAALLLLLLLL ZZZZHHHHPPPPRRRR2222 ((((_u_p_l_o,,,, _n,,,, _a_l_p_h_a,,,, _x,,,, _i_n_c_x,,,, _y,,,, _i_n_c_y,,,, _a_p)))) C/C++: ####iiiinnnncccclllluuuuddddeeee <<<<ssssccccssssllll____bbbbllllaaaassss....hhhh>>>> vvvvooooiiiidddd zzzzhhhhpppprrrr2222 ((((cccchhhhaaaarrrr _u_p_l_o,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx *_n,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx *_a_l_p_h_a,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx *_x,,,, iiiinnnntttt _i_n_c_x,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx *_y,,,, iiiinnnntttt _i_n_c_y,,,, ssssccccssssllll____zzzzoooommmmpppplllleeeexxxx _a_p))));;;; C++ STL: ####iiiinnnncccclllluuuuddddeeee <<<<ccccoooommmmpppplllleeeexxxx....hhhh>>>> ####iiiinnnncccclllluuuuddddeeee <<<<ssssccccssssllll____bbbbllllaaaassss....hhhh>>>> vvvvooooiiiidddd zzzzhhhhpppprrrr2222 ((((cccchhhhaaaarrrr _u_p_l_o,,,, ccccoooommmmpppplllleeeexxxx<<<<ddddoooouuuubbbblllleeee>>>> *_n,,,, ccccoooommmmpppplllleeeexxxx<<<<ddddoooouuuubbbblllleeee>>>> *_a_l_p_h_a,,,, ccccoooommmmpppplllleeeexxxx<<<<ddddoooouuuubbbblllleeee>>>> *_x,,,, iiiinnnntttt _i_n_c_x,,,, ccccoooommmmpppplllleeeexxxx<<<<ddddoooouuuubbbblllleeee>>>> *_y,,,, iiiinnnntttt _i_n_c_y,,,, ccccoooommmmpppplllleeeexxxx<<<<ddddoooouuuubbbblllleeee>>>> _a_p))));;;; 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 CCCCHHHHPPPPRRRR2222((((3333SSSS)))) CCCCHHHHPPPPRRRR2222((((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 Hermitian rank 2 operation: _A <- _a_l_p_h_a _x_y_H + (complex conjugate of _a_l_p_h_a)* _y_x_H + _A where _a_l_p_h_a is a scalar, _x and _y are _n-element vectors, _x_H and _y_H conjugate transposes of _x and _y, respectively, 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. (input). CCCCHHHHPPPPRRRR2222: Single precision complex. ZZZZHHHHPPPPRRRR2222: Double precision complex. For C/C++, a pointer to this scalar is passed. _x Array of dimension 1+(_n-1) * |_i_n_c_x|. (input) CCCCHHHHPPPPRRRR2222: Single precision complex array. ZZZZHHHHPPPPRRRR2222: Double precision complex array. Contains vector _x. _i_n_c_x Integer. (input) Increment for the elements of _x. _i_n_c_x must not be 0. _y Array of dimension 1+(_n-1) * |_i_n_c_y|. (input) CCCCHHHHPPPPRRRR2222: Single precision complex array. ZZZZHHHHPPPPRRRR2222: Double precision complex array. PPPPaaaaggggeeee 2222 CCCCHHHHPPPPRRRR2222((((3333SSSS)))) CCCCHHHHPPPPRRRR2222((((3333SSSS)))) Contains vector _y. _i_n_c_y Integer. (input) Increment for the elements of _y. Argument _i_n_c_y must not be 0. _a_p Array of dimension (_n(_n+1))/2 . (input and output) CCCCHHHHPPPPRRRR2222: Single precision complex array. ZZZZHHHHPPPPRRRR2222: 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. On exit, the upper triangular part of the updated matrix overwrites array _a_p. 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), _a_p(2) contains _A(2,1), _a_p(3) contains _A(3,1), and so on. On exit, the lower triangular part of the updated matrix overwrites array _a_p. The imaginary parts of the diagonal elements need not be set. They are assumed to be 0; on exit, they are set to 0. NNNNOOOOTTTTEEEESSSS CCCCHHHHPPPPRRRR2222/ZZZZHHHHPPPPRRRR2222 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 Integer IIIINNNNTTTTEEEEGGGGEEEERRRR (IIIINNNNTTTTEEEEGGGGEEEERRRR****8888 for ----llllssssccccssss____iiii8888[[[[____mmmmpppp]]]]) PPPPaaaaggggeeee 3333 CCCCHHHHPPPPRRRR2222((((3333SSSS)))) CCCCHHHHPPPPRRRR2222((((3333SSSS)))) 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), SSSSSSSSPPPPRRRR(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 
