function b = r83p_to_r8ge ( n, a ) %*****************************************************************************80 % %% R83P_TO_R8GE copies a R83P matrix to a R8GE matrix. % % Discussion: % % The R83P storage format stores a periodic tridiagonal matrix as % a 3 by N array, in which each row corresponds to a diagonal, and % column locations are preserved. The matrix value % A(1,N) is stored as the array entry A(3,N), and the matrix value % A(N,1) is stored as the array entry A(1,1). % % Example: % % Here is how a R83P matrix of order 5 would be stored: % % A51 A12 A23 A34 A45 % A11 A22 A33 A44 A55 % A21 A32 A43 A54 A15 % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 03 February 2004 % % Author: % % John Burkardt % % Parameters: % % Input, integer N, the order of the matrix. % N must be at least 3. % % Input, real A(3,N), the R83P matrix. % % Output, real B(N,N), the R8GE matrix. % for i = 1 : n for j = 1 : n if ( i == j ) b(i,j) = a(2,j); elseif ( j == i-1 ) b(i,j) = a(3,j); elseif ( j == i+1 ) b(i,j) = a(1,j); elseif ( i == 1 & j == n ) b(i,j) = a(3,j); elseif ( i == n & j == 1 ) b(i,j) = a(1,j); else b(i,j) = 0.0; end end end return end