Abstract:
The study of 2 × 2 linear iterative systems leads naturally to
an analysis of the eigenvalues and eigenvectors of the corresponding system
matrix. The phase portraits for such systems have been previously examined
and outlined; however the outline lacks the analysis of the many borderline
cases in the trace-determinant plane. In this paper we fill in some of these
details and look at the general solutions for the most interesting cases in terms
of eigenvectors. In particular, we find generalized eigenvectors when required.
Citation:
Habre, S. S., & McDill, J. M. BORDERLINE BEHAVIOR FOR 2 χ 2 ITERATIVE SYSTEMS.
