Quadratic matrix equations occur in a variety of applications. Inthis paper we introduce new permutationally invariant functions oftwo solvents of the n £ n quadratic matrix equation X2 ¡ L1X ¡L0 = 0, playing the role of the two elementary symmetric functionsof the two roots of a quadratic scalar equation. Our results rely onthe connection existing between the QME and the theory of linearsecond order di®erence equations with noncommutative coe±cients.An application of our results to a simple physical problem is brie°ydiscussed.
|Numero di pagine||19|
|Rivista||Reports on Mathematical Physics|
|Stato di pubblicazione||Published - 2008|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics