Title of article
On the matrix powers and exponential by the r-generalized Fibonacci sequences methods: the companion matrix case
Author/Authors
Rajae Ben Taher، نويسنده , , Mustapha Rachidi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
13
From page
341
To page
353
Abstract
Properties of some r-generalized Fibonacci sequences in the algebra of square matrices , allow us to derive some explicit formulas for the matrix powers An (n 0) and exponential etA, for every . Connection with the Verde-Star method is displayed. For a companion matrix A, we present some explicit combinatorial formulas for An (n 0) and etA. Furthermore, the Chen–Louck’s Theorem is derived.
Keywords
Dynamicsolution , Matrix powers , Algebra ofmatrices , Companion matrix , Matrix exponential , Linear recurrence relations
Journal title
Linear Algebra and its Applications
Serial Year
2003
Journal title
Linear Algebra and its Applications
Record number
824022
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