An inverse eigenvalue problem for symmetrical tridiagonal matrices
نویسندگان
چکیده
منابع مشابه
An inverse eigenvalue problem for symmetrical tridiagonal matrices
We consider the following inverse eigenvalue problem: to construct a symmetrical tridiagonal matrix from the minimal and maximal eigenvalues of all its leading principal submatrices. We give a necessary and sufficient condition for the existence of such a matrix and for the existence of a nonnegative symmetrical tridiagonal matrix. Our results are constructive, in the sense that they generate a...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2007
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.12.035