07-Jan-2022 20:34:21

gram_schmidt_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  Test gram_schmidt().

GRAM_SCHMIDT_NAIVE_TEST
  Test GRAM_SCHMIDT_NAIVE.

  A1:

  Col:       1             2       
  Row
      1 :           1             4  
      2 :           1            -5  
      3 :           0             5  

  U1:

  Col:       1             2       
  Row
      1 :    0.707107      0.556022  
      2 :    0.707107     -0.556022  
      3 :           0      0.617802  

  Check:

  Col:       1             2       
  Row
      1 :           1    6.4896e-18  
      2 :  6.4896e-18             1  

  A2:

  Col:       1             2             3       
  Row
      1 :           1             4             8  
      2 :           1            -5            -7  
      3 :           0             5             3  

  U:

  Col:       1             2             3       
  Row
      1 :    0.707107      0.556022      0.436852  
      2 :    0.707107     -0.556022     -0.436852  
      3 :           0      0.617802     -0.786334  

  Check:

  Col:       1             2             3       
  Row
      1 :           1    6.4896e-18   1.98523e-19  
      2 :  6.4896e-18             1   5.53307e-18  
      3 : 1.98523e-19   5.53307e-18             1  

  A3:

  Col:       1             2             3             4       
  Row
      1 :           1             4             8             3  
      2 :           1            -5            -7             4  
      3 :           0             5             3             5  

  U:

  Col:       1             2             3             4       
  Row
      1 :    0.707107      0.556022      0.436852      0.948683  
      2 :    0.707107     -0.556022     -0.436852      0.316228  
      3 :           0      0.617802     -0.786334             0  

  Check:

  Col:       1             2             3             4       
  Row
      1 :           1    6.4896e-18   1.98523e-19      0.894427  
      2 :  6.4896e-18             1   5.53307e-18      0.351659  
      3 : 1.98523e-19   5.53307e-18             1      0.276289  
      4 :    0.894427      0.351659      0.276289             1  

GRAM_SCHMIDT_NAIVE_TEST
  Normal end of execution.

gram_schmidt_tolerance_test
  Test GRAM_SCHMIDT_TOLERANCE.

  A1:

  Col:       1             2       
  Row
      1 :           1             4  
      2 :           1            -5  
      3 :           0             5  

  U1:

  Col:       1             2       
  Row
      1 :    0.707107      0.556022  
      2 :    0.707107     -0.556022  
      3 :           0      0.617802  

  Check:

  Col:       1             2       
  Row
      1 :           1    6.4896e-18  
      2 :  6.4896e-18             1  

  A2:

  Col:       1             2             3       
  Row
      1 :           1             4             8  
      2 :           1            -5            -7  
      3 :           0             5             3  

  U:

  Col:       1             2             3       
  Row
      1 :    0.707107      0.556022      0.436852  
      2 :    0.707107     -0.556022     -0.436852  
      3 :           0      0.617802     -0.786334  

  Check:

  Col:       1             2             3       
  Row
      1 :           1    6.4896e-18   1.98523e-19  
      2 :  6.4896e-18             1   5.53307e-18  
      3 : 1.98523e-19   5.53307e-18             1  

  A3:

  Col:       1             2             3             4       
  Row
      1 :           1             4             8             3  
      2 :           1            -5            -7             4  
      3 :           0             5             3             5  

  U:

  Col:       1             2             3       
  Row
      1 :    0.707107      0.556022      0.436852  
      2 :    0.707107     -0.556022     -0.436852  
      3 :           0      0.617802     -0.786334  

  Check:

  Col:       1             2             3       
  Row
      1 :           1    6.4896e-18   1.98523e-19  
      2 :  6.4896e-18             1   5.53307e-18  
      3 : 1.98523e-19   5.53307e-18             1  

gram_schmidt_tolerance_test
  Normal end of execution.

gram_schmidt_test():
  Normal end of execution.

07-Jan-2022 20:34:21