Geodesic
Bounded and stably bounded palindromic difference equations of first order
The electronic journal of linear algebra, Tome 15 (2006), pp. 22-49.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Criteria for palindromic difference equations A?xi + Axi+1 = 0, where ? stands for either transpose or conjugate transpose, to have bounded or stably bounded solutions are given in terms of the congruent equivalent classes of the matrix A. It is proved that the set of bounded palindromic difference equations is connected in the complex case, and has two connected components corresponding to the sign of the determinant of A in the real case. The connected components of the set of stably bounded palindromic difference equations are characterized.
Classification : 15A63, 39A99
Keywords: palindromic, difference equations of first order, bounded solutions, stably bounded solutions, matrix congruence, canonical forms 
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     author = {Rodman, Leiba},
     title = {Bounded and stably bounded palindromic difference equations of first order},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2006__15__a24/}
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Rodman, Leiba. Bounded and stably bounded palindromic difference equations of first order. The electronic journal of linear algebra, Tome 15 (2006), pp. 22-49. http://geodesic.mathdoc.fr/item/ELA_2006__15__a24/