On the Diierential Equation Dx Dt = X; K(x )] Where K Is a Toeplitz Annihilator
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چکیده
The di erential equation dX dt = [X; k(X)] where k is a Toeplitz annihilator has been suggested as a means to solve the inverse Toeplitz eigenvalue problem. Starting with the diagonal matrix whose entries are the same as the given eigenvalues, the solution ow has been observed numerically to always converge a symmetric Toeplitz matrix as t ! 1. This paper is an attempt to understand the dynamics involved in the case n = 3.
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تاریخ انتشار 2008