Article ID Journal Published Year Pages File Type
4599010 Linear Algebra and its Applications 2015 6 Pages PDF
Abstract

E.M. Sá and R.C. Thompson proved that the invariant factors of a matrix over a commutative principal ideal domain and the invariant factors of its submatrices are related by a set of divisibility inequalities, called the interlacing inequalities for invariant factors. We extend this result to matrices over elementary divisor duo rings.

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Physical Sciences and Engineering Mathematics Algebra and Number Theory
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On the interlacing inequalities for invariant factors
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