r8pbu
    
    
    
      r8pbu,
      a MATLAB code which 
      carries out some basic linear algebra operations on R8PBU matrices
      (real 64 bit precision positive definite symmetric band upper format).
    
    
      Licensing:
    
    
      The information on this web page is distributed under the MIT 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,
      MATLAB codes which 
      carry 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;
        
 
      
    
    
    
      Last revised on 25 August 2022.