Nonnegative matrices with prescribed extremal singular values
نویسندگان
چکیده
We consider the problem of constructing nonnegative matrices with prescribed extremal singular values. In particular, given 2n−1 real numbers σ ( j) 1 and σ ( j) j , j = 1, . . . , n, we construct an n×n nonnegative bidiagonal matrix B and an n×n nonnegative semi-bordered diagonal matrix C , such that σ ( j) 1 and σ ( j) j are, respectively, the minimal and the maximal singular values of certain submatrices B j and C j of B and C , respectively. By using a singular value perturbation result, we also construct an n × n nonnegative matrix with prescribed singular values σ1 ≥ · · · ≥ σn . c © 2007 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 56 شماره
صفحات -
تاریخ انتشار 2008