Explicit generalized factorization with Mathematica 6.0
The aim of this seminar is to present our progress in the explicit generalized factorization of some special matrix-valued functions. We construct an algorithm to obtain the solutions of certain singular integral equations related with a self-adjoint operator. Using these solutions we construct another algorithm to determine an effective factorization of the matrix functions. Using Mathematica 6.0 symbolic computation package we implement the two algorithms on a digital computer, automating the factorization process as a whole. We present some examples, both in the real line and in the unit circle, obtained with the Mathematica application. The presentation is based on a joint work with Viktor G. Kravchenko.
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