Regions of Exclusion for the Latent Roots of a Matrix
نویسنده
چکیده
It is the purpose of this note to point out that there may also exist bounded regions which exclude the latent roots of A. Let B: [&,-,•] be an nXn matrix with complex elements. Let (/i(l), • • ■ , n(n)) be a permutation of (1, • • • , n), and let B'\ [b'tj] be the matrix [b'v] = [&*.(,•)]. Thus£' is obtained from B by a permutation of its columns, and therefore B is nonsingular when B' is nonsingular. The matrix B' is nonsingular if
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تاریخ انتشار 2009