2009 IEEE International Conference on
Systems, Man, and Cybernetics |
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Abstract
This paper presents the following inverse
eigenvalue problem for generalized periodic Jacobi matrices:
Given two unequal real numbers, and nonzero vectors. Find
n steps generalized periodic Jacobi matrices J , which is satisfied
the conditions that the numbers and the nonzero vectors are the
characteristic pairs of J . This paper obtains the existence and
uniqueness of this kind of inverse eigenvalue problem, discusses
the expression of the problem¡¯s solution, and some numerical
example is provided.