function [ a, seed ] = d3_uniform ( n, seed ) %*****************************************************************************80 % %% D3_UNIFORM randomizes a D3 matrix. % % Discussion: % % The D3 storage format is used for a tridiagonal matrix. % The superdiagonal is stored in entries (1,2:N), the diagonal in % entries (2,1:N), and the subdiagonal in (3,1:N-1). Thus, the % original matrix is "collapsed" vertically into the array. % % Example: % % Here is how a D3 matrix of order 5 would be stored: % % * A12 A23 A34 A45 % A11 A22 A33 A44 A55 % A21 A32 A43 A54 * % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 30 January 2004 % % Author: % % John Burkardt % % Parameters: % % Input, integer N, the order of the linear system. % % Input, integer SEED, a seed for the random number generator. % % Output, real A(3,N), the D3 matrix. % % Output, integer SEED, an updated seed for the random number generator. % a(1,1) = 0.0; [ a(1,2:n), seed ] = r8vec_uniform ( n-1, 0.0, 1.0, seed ); [ a(2,1:n), seed ] = r8vec_uniform ( n, 0.0, 1.0, seed ); [ a(3,1:n-1), seed ] = r8vec_uniform ( n-1, 0.0, 1.0, seed ); a(3,n) = 0.0; return end