A Test Matrix for an Inverse Eigenvalue Problem
نویسندگان
چکیده
We present a real symmetric tridiagonalmatrix of order nwhose eigenvalues are {2k}n−1 k=0 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum, {2l + 1}n−2 l=0 . Thematrix entries are explicit functions of the size n, and so the matrix can be used as a test matrix for eigenproblems, both forward and inverse. An explicit solution of a springmass inverse problem incorporating the test matrix is provided.
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2014 شماره
صفحات -
تاریخ انتشار 2014