Title: Matrix continued fractions related to first order linear recurrence systems
Authors: Levrie, Paul ×
Bultheel, Adhemar #
Issue Date: 1996
Publisher: Kent State University
Series Title: Electronic transactions on numerical analysis vol:4 pages:46-63
Abstract: We introduce a matrix continued fraction associated with the first-order linear recurrence system Y_k = T_k Y_{k-1}. A Pincherle type convergence theorem is proved. We show that the n-th order linear recurrence relation and previous generalizations of ordinary continued fractions form a special case. We give an application for the numerical computation of a non-dominant solution and discuss special cases where T_k is constant for all k and the limiting case where lim T_k for k to infinity is constant. Finally the notion of adjoint fraction is introduced which generalizes the notion of the adjoint of a recurrence relation of order n.
ISSN: 1068-9613
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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