7. Summary

The following table shows the mean square error (represented by the norm ||err||, the square-root of the sum of the squares of the errors) and the maximum absolute error for each of the approximations discussed above:

RP1 TA1 TA2 LLSQ MinMax
||err|| 0.1301 0.1516 0.0586 0.0138 0.0147
max|err| 0.0469 0.0858 0.0392 0.0075 0.0049

Code: input (in VECR/SS/ sqrt_approximations.ss), output, plot script

Combined plot: