Mathematics – Numerical Analysis
Scientific paper
2009-03-06
Mathematics
Numerical Analysis
Scientific paper
In this paper, we re-investigate the resolution of Toeplitz systems $T u =g$, from a new point of view, by correlating the solution of such problems with syzygies of polynomials or moving lines. We show an explicit connection between the generators of a Toeplitz matrix and the generators of the corresponding module of syzygies. We show that this module is generated by two elements of degree $n$ and the solution of $T u=g$ can be reinterpreted as the remainder of an explicit vector depending on $g$, by these two generators.
Khalil Houssam
Mourrain Bernard
Schatzman Michelle
No associations
LandOfFree
Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-136246