[psoc-2008] week 4 report - Math::GSL

[Thierry Moisan]

This week I worked on CDF, Linear Algebra and Eigensystems. I almost
finished the documentation for CDF and Eigensystems, I just need to
had some examples. However, Linear Algebra and Eigensystems need more
tests. I'll try to finish them in the next days. Linear Algebra took
longer than I tought. Testing these functions has been long and
panifull because we needed to get data from maple and then write the
tests to see if the output from GSL was the same as Maple. I tought of
an other way to tests the decomposition functions which should make
the next tests easier : I will the decomposition matrices and then
recompose them and check if the result is the same as the original.

While working on the Linear Algebra subsytems I found that we haven't
added yet the gsl_matrix_complex functions in the Matrix subsystem. I
also found that these functions weren't documented inside GSL official
documentation. I added the functions to Matrix and I contacted the GSL
librairy developer to see if I could help them to document theses
functions since I'll documented them anyway in the Matrix POD.

I also learned some new stuff in mathematics such what are an
hermitician matrix, superdiagonal and subdiagonal. This is pretty
simple things but I haven't got the chance to work with these concepts
in my university courses yet.

In the following week I'll try to finish the parts of the subsystems I
haven't finished in the last week and I'll work on, Fast Fourier
Transform, Discrete Fourier Transform and Discrete Hankel Transform
subsystems.

Thierry Moisan