calculations of this section was presented in the previous section
We start from the pair
introduced in the section
) and calculated in the section
Calculation of scaling
). We intend to adapt the procedure of the section
Adapting GMRA to interval
) to have two properties:
1. The procedure should be numerically stable.
2. The Gram
should have a low condition number.
The following is the procedure that accomplishes these two goals.
The procedure is implemented in the script "bases\phi.py" and tested by the
script "_run_bases.py". Experimentation shows that for 6 steps of scaling
procedure we produce Gram matrix with condition number below 10 and precision
of scaling projection below 0.0001.