function linpack_z_test32 ( ) %*****************************************************************************80 % %% TEST32 tests ZSPFA and ZSPSL. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 25 June 2009 % % Author: % % John Burkardt % n = 3; fprintf ( 1, '\n' ) fprintf ( 1, 'TEST32\n' ); fprintf ( 1, ' For a double precision complex (C)\n' ); fprintf ( 1, ' symmetric matrix in packed storage (SP),\n' ); fprintf ( 1, ' ZSPFA factors the matrix.\n' ); fprintf ( 1, ' ZSPSL solves a linear system.\n' ); fprintf ( 1, '\n' ) fprintf ( 1, ' The matrix order is N = %d\n', n ); % % Set the values of the packed matrix A. % k = 0; seed = 123456789; for j = 1 : n for i = 1 : j-1 k = k + 1; [ a(k), seed ] = c8_uniform_01 ( seed ); end k = k + 1; [ a(k), seed ] = c8_uniform_01 ( seed ); end % % Copy the packed matrix into a "normal" matrix. % k = 0; for j = 1 : n for i = 1 : j k = k + 1; a_save(i,j) = a(k); end end for j = 1 : n a_save(j+1:n,j) = transpose ( a_save(j,j+1:n) ); end fprintf ( 1, '\n' ) fprintf ( 1, ' The matrix A is\n' ); fprintf ( 1, '\n' ) for i = 1 : n for j = 1 : n fprintf ( 1, ' (%8f %8f)', real ( a_save(i,j) ), imag ( a_save(i,j) ) ); end fprintf ( 1, '\n' ); end % % Set the values of the right hand side vector B. % [ x, seed ] = c8vec_uniform_01 ( n, seed ); b(1:n) = a_save(1:n,1:n) * transpose ( x(1:n) ); fprintf ( 1, '\n' ) fprintf ( 1, ' The right hand side B is\n' ); fprintf ( 1, '\n' ) for i = 1 : n fprintf ( 1, ' (%8f %8f)\n', real ( b(i) ), imag ( b(i) ) ); end % % Factor the matrix A. % [ a, ipvt, info ] = zspfa ( a, n ); if ( info ~= 0 ) fprintf ( 1, '\n' ) fprintf ( 1, ' ZSPFA returned an error flag INFO = %d\n', info ); return end % % Solve the system. % b = zspsl ( a, n, ipvt, b ); fprintf ( 1, '\n' ) fprintf ( 1, ' Computed Exact\n' ); fprintf ( 1, ' Solution Solution\n' ); fprintf ( 1, '\n' ) for i = 1 : n fprintf ( 1, ' (%8f %8f) (%8f %8f)\n', ... real ( b(i) ), imag ( b(i) ), real ( x(i) ), imag ( x(i) ) ); end return end