function det = r8but_det ( n, mu, a ) %*****************************************************************************80 % %% R8BUT_DET computes the determinant of a R8BUT matrix. % % Discussion: % % The R8BUT storage format is used for a banded upper triangular matrix. % The matrix is assumed to be zero above the MU-th superdiagonal. % The matrix is stored in an MU+1 by N array. % Columns are preserved. % % The diagonal is stored in row MU+1 of the array. % The first superdiagonal in row MU, columns 2 through N. % The second superdiagonal in row MU-1, columns 3 through N. % The MU-th superdiagonal in row 1, columns MU+1 through N. % % Example: % % N = 5, MU = 2 % % A11 A12 A13 0 0 % 0 A22 A23 A24 0 % 0 0 A33 A34 A35 % 0 0 0 A44 A45 % 0 0 0 0 A55 % --- --- % --- % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 28 March 2004 % % Author: % % John Burkardt % % Parameters: % % Input, integer N, the order of the matrix. % % Input, integer MU, the upper bandwidth. % % Input, real A(MU+1,N), the R8BUT matrix. % % Output, real DET, the determinant of A. % det = 1.0; for j = 1 : n det = det * a(mu+1,j); end return end