Inverse eigenvalue problem for real symmetric Toeplitz matrices
German Feyh, C.T. Mullis · 2003
The inverse eigenvalue problem for real symmetric Toeplitz matrices is defined. A Newton-Raphson-type algorithm is developed for the solution of the problem. The algorithm converges unsafeguarded in all the computed cases and shows the typical behavior of Newton-type algorithms: in general quadratic convergence, linear convergence near double roots. Examples of dimension 10 and 20 are presented. Known sufficient conditions for inverse eigenvalue problems of real symmetric matrices are discussed.>