r8pbu

r8pbu, an Octave code which carries out some basic linear algebra operations on R8PBU matrices (real 64 bit precision positive definite symmetric band upper format).

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

r8pbu is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

r8pbu_test

linear_algebra, an Octave code which carries out various linear algebra operations for matrices stored in a variety of formats.

Source Code:

• i4_log_10.m, returns the integer part of the logarithm base 10 of abs(X);
• r8_uniform_01.m, is a uniform random number generator;
• r8ge_det.m, computes the determinant of a factored R8GE matrix;
• r8ge_fa.m, factors an R8GE matrix;
• r8ge_print.m, prints an R8GE matrix;
• r8ge_print_some.m, prints some of an R8GE matrix;
• r8pbu_cg.m, uses the conjugate gradient method on a linear system with an R8PBU matrix;
• r8pbu_det.m, computes the determinant of an R8PO matrix factored by R8PBU_FA;
• r8pbu_dif2.m, returns the DIF2 matrix in R8PBU format.
• r8pbu_fa.m, factors an R8PBU matrix;
• r8pbu_indicator.m, returns an R8PBU indicator matrix;
• r8pbu_ml.m, computes A*x or A'*x after A has been factored by R8PBU_FA;
• r8pbu_mv.m, multiplies an R8PBU matrix times a vector;
• r8pbu_print.m, prints an R8PBU matrix;
• r8pbu_print_some.m, prints some of an R8PBU matrix;
• r8pbu_random.m, randomizes an R8PBU matrix;
• r8pbu_res.m, computes the residual R = B-A*X for R8PBU matrices.
• r8pbu_sl.m, solves an R8PBU linear system factored by R83P_FA;
• r8pbu_sor.m, applies the SOR iterative method to solve a linear system with an R8PBU matrix;
• r8pbu_to_r8ge.m, copies an R8PBU matrix to an R8GE matrix;
• r8pbu_zeros.m, zeros an R8PBU matrix;
• r8vec_indicator1.m, sets an R8VEC to the indicator1 vector;
• r8vec_print.m, prints an R8VEC;
• r8vec_print_some.m, prints some of an R8VEC;
• r8vec_uniform_01.m, returns a random R8VEC;
• r8vec2_print_some.m, prints some of a pair R8VEC's;