Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Application of the companion factorization to linear non-autonomous area-preserving maps
Year:2012
Research Areas
  • Physics chemical and mathematical,
  • Mathematics,
  • Engineering,
  • Information technology and adata processing
Information
Abstract
For a large class of discrete matrix difference equations many qualitative problems remain unsolved. The companion matrix factorization is applied here to the shift matrices associated to linear non-autonomous area-preserving maps. It permits us to introduce second order linear difference equations, which provide a faster computation of the transition matrices with respect to numerical algorithms based on the standard product of matrices. In addition, compact representations for the main elements of these discrete planar systems can be provided when using the well-known solutions of linear difference equations. Some properties and applications of current interest are presented.
International
Si
JCR
Si
Title
LINEAR & MULTILINEAR ALGEBRA
ISBN
0308-1087
Impact factor JCR
0,818
Impact info
Volume
60
10.1080/03081087.2011.582583
Journal number
From page
201
To page
217
Month
SIN MES
Ranking
72/276 MATHEMATICS (SCI)
Participants
  • Autor: Jesus Carmelo Abderraman Marrero (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
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