Computation of multiple eigenvalues of infinite tridiagonal matrices
نویسندگان
چکیده
In this paper, it is first given as a necessary and sufficient condition that infinite matrices of a certain type have double eigenvalues. The computation of such double eigenvalues is enabled by the Newton method of two variables. The three-term recurrence relations obtained from its eigenvalue problem (EVP) subsume the well-known relations of (A) the zeros of Jν(z); (B) the zeros of zJ ′ ν(z) + HJν(z); (C) the EVP of the Mathieu differential equation; and (D) the EVP of the spheroidal wave equation. The results of experiments are shown for the three cases (A)–(C) for the computation of their “double pairs”.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 73 شماره
صفحات -
تاریخ انتشار 2004