r8ut
    
    
    
      r8ut,
      an Octave code which 
      carries out some basic linear algebra operations on R8UT matrices
      (real 64 bit precision upper triangular format).
    
    
      Licensing:
    
    
      The information on this web page is distributed under the MIT license.
    
    
      Languages:
    
    
      r8ut 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:
    
    
      
      r8ut_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);
        
 
        - 
          r8ge_print.m, 
          prints an R8GE matrix;
        
 
        - 
          r8ge_print_some.m, 
          prints some of an R8GE matrix;
        
 
        - 
          r8ge_random.m, 
          returns a random R8GE matrix;
        
 
        - 
          r8ge_to_r8ut.m, 
          converts an R8GE matrix to an R8UT matrix;
        
 
        - 
          r8ut_det.m, 
          computes the determinant of an R8UT matrix;
        
 
        - 
          r8ut_indicator.m, 
          returns an R8UT indicator matrix;
        
 
        - 
          r8ut_inverse.m, 
          returns the inverse of an R8UT matrix;
        
 
        - 
          r8ut_mm.m, 
          computes the product A*B of two R8UT matrices.
        
 
        - 
          r8ut_mtm.m, 
          computes the product A*B of two R8UT matrices.
        
 
        - 
          r8ut_mtv.m, 
          multiplies a vector times an R8UT matrix;
        
 
        - 
          r8ut_mv.m, 
          multiplies an R8UT matrix times a vector;
        
 
        - 
          r8ut_print.m, 
          prints an R8UT matrix;
        
 
        - 
          r8ut_print_some.m, 
          prints some of an R8UT matrix;
        
 
        - 
          r8ut_random.m, 
          randomizes an R8UT matrix;
        
 
        - 
          r8ut_sl.m, 
          solves an R8UT linear system A*x=b;
        
 
        - 
          r8ut_slt.m, 
          solves an R8UT linear system A'*x=b;
        
 
        - 
          r8ut_to_r8ge.m, 
          converts an R8UT matrix to an R8GE matrix;
        
 
        - 
          r8ut_zeros.m, 
          zeros out space for an R8UT matrix.
        
 
        - 
          r8vec_indicator1.m, 
          sets an R8VEC to the indicator1 vector;
        
 
        - 
          r8vec_print.m, 
          prints an R8VEC;
        
 
      
    
    
    
      Last revised on 22 May 2023.