<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Square Roots of Real 3 × 3 Matrices vs. Quartic Polynomials with Real Zeros"}

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...

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

Published Online: Mar 31, 2018

Page range: 45 - 58

DOI: https://doi.org/10.1515/auom-2017-0034

Keywords
Matrix square root, Quartic polynomial equation, Characteristic polynomial, Jordan canonical form

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Mar 31, 2018

Page range: 45 - 58

DOI: https://doi.org/10.1515/auom-2017-0034

KeywordsMatrix square root, Quartic polynomial equation, Characteristic polynomial, Jordan canonical form

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Matrix square root, Quartic polynomial equation, Characteristic polynomial, Jordan canonical form