Bryan E. Cain
Iowa State University
10 Papers
69 Citations
Bryan E. Cain is an academic researcher from Iowa State University. The author has contributed to research in topics: Hermitian matrix & Operator theory. The author has an hindex of 6, co-authored 10 publications.
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Papers
Multiplicative perturbations of stable and convergent operators
TL;DR: In this paper, some familiar classes of stable Hilbert-space operators are studied to determine how they overlap and where the unitary similarity classes of their members lie, and analogous, but less familiar, classes of convergent operators are examined with the same aim.
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The inertia of a Hermitian matrix having prescribed diagonal blocks
TL;DR: In this paper, the authors characterized in terms of the π i, ν i, δ i range of In(H ) where H varies over all Hermitian matrices which have a block decomposition H = ( X ij ) i, j = 1,…, m in which X Ij is n i × n j and X ii = H i.
12
The inertia of diagonal multiples of 3×3 real matrices
Christina A. Bahl,Bryan E. Cain +1 more
TL;DR: In this paper, it was shown that for 3×3 real matrices, the principal minors of a matrix can be characterized by algebraic conditions which the principal minor of its members satisfy.
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