Abstract:
The paper suggests generalizations of some known sufficient nonsingularity conditions for matrices with constant principal diagonal and the corresponding eigenvalue inclusion sets to the cases of arbitrary matrices and matrices with nonzero diagonal entries.
Key words and phrases:sufficient nonsingularity conditions, eigenvalue inclusion sets, Gerschgorin disks, ovals of Cassini, strict diagonal dominance, Ostrowski's theorem, Ostrowski–Brauer theorem.
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