Square Roots of Real 3 × 3 Matrices vs. Quartic Polynomials with Real Zeros

Anghel, Nicolae

doi:10.1515/auom-2017-0034

Abstract

Abstract There is an interesting analogy between the description of the real square roots of 3×3 matrices and the zeros of the (depressed) real quartic polynomials. This analogy, which in fact better explains the nature of the zeros of those polynomials, is unveiled through a natural use of the Cayley-Hamilton theorem.

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Square Roots of Real 3 × 3 Matrices vs. Quartic Polynomials with Real Zeros

Abstract

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