Bounds on polynomial roots using intercyclic companion matrices
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DOI: 10.1016/j.laa.2017.11.002
Abstract: Abstract The Frobenius companion matrix, and more recently the Fiedler companion matrices, have been used to provide lower and upper bounds on the modulus of any root of a polynomial p ( x ) .… read more here.
Keywords: companion matrix; companion; bounds polynomial; companion matrices ... See more keywords
Radicals of matrix rings generated by a companion matrix
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DOI: 10.1080/00927872.2016.1233214
Abstract: ABSTRACT The radicals of full matrix rings as well as structural matrix rings have been studied extensively and there is a well-developed theory for both. Here we initiate the radical theory for another class of… read more here.
Keywords: companion matrix; radicals matrix; matrix; generated companion ... See more keywords