### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 369-387 |

Numero di pagine | 19 |

Rivista | Reports on Mathematical Physics |

Volume | 62 |

Stato di pubblicazione | Published - 2008 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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*Reports on Mathematical Physics*,

*62*, 369-387.

**Elementary symmetric functions of two solvents of a quadratic matrix equations.** / Messina, Antonino; Napoli, Anna; Jivulescu.

Risultato della ricerca: Article

*Reports on Mathematical Physics*, vol. 62, pagg. 369-387.

}

TY - JOUR

T1 - Elementary symmetric functions of two solvents of a quadratic matrix equations

AU - Messina, Antonino

AU - Napoli, Anna

AU - Jivulescu, null

PY - 2008

Y1 - 2008

N2 - Quadratic matrix equations occur in a variety of applications. In this paper we introduce new permutationally invariant functions of two solvents of the n £ n quadratic matrix equation X2 ¡ L1X ¡ L0 = 0, playing the role of the two elementary symmetric functions of the two roots of a quadratic scalar equation. Our results rely on the connection existing between the QME and the theory of linear second order di®erence equations with noncommutative coe±cients. An application of our results to a simple physical problem is brie°y discussed.

AB - Quadratic matrix equations occur in a variety of applications. In this paper we introduce new permutationally invariant functions of two solvents of the n £ n quadratic matrix equation X2 ¡ L1X ¡ L0 = 0, playing the role of the two elementary symmetric functions of the two roots of a quadratic scalar equation. Our results rely on the connection existing between the QME and the theory of linear second order di®erence equations with noncommutative coe±cients. An application of our results to a simple physical problem is brie°y discussed.

KW - quadratic matrix equation; solvent; difference equation; symmetric functions

UR - http://hdl.handle.net/10447/59339

M3 - Article

VL - 62

SP - 369

EP - 387

JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

SN - 0034-4877

ER -