Regions of exclusion for the latent roots of a matrix

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Regions of Exclusion for the Latent Roots of a Matrix

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 nons...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1954

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1954-0060459-0