A theorem about the bounds of solutions of the Toeplitz Inverse Eigenvalue Problem is introduced and proved. It can be applied to make a better starting generator for iterative numerical methods. This application is tested through a short Mathematica program. Also an optimisation method for solving the Toeplitz Inverse Eigenvalue Problem with a global convergence property is presented. A global convergence theorem is proved.
@article{1023, title = {Some remarks on the inverse eigenvalue problem for real symmetric Toeplitz matrices}, journal = {ANZIAM Journal}, volume = {46}, year = {2006}, doi = {10.21914/anziamj.v46i0.1023}, language = {EN}, url = {http://dml.mathdoc.fr/item/1023} }
Li, N. Some remarks on the inverse eigenvalue problem for real symmetric Toeplitz matrices. ANZIAM Journal, Tome 46 (2006) . doi : 10.21914/anziamj.v46i0.1023. http://gdmltest.u-ga.fr/item/1023/