A condition for anti-diagonals product invariance across powers of $2 \times 2$ matrix sets characterizing a particular class of polynomial families

Journal article


Larcombe, Peter J. and Fennessey, Eric J. 2015. A condition for anti-diagonals product invariance across powers of $2 \times 2$ matrix sets characterizing a particular class of polynomial families. Fibonacci Quarterly.
AuthorsLarcombe, Peter J. and Fennessey, Eric J.
Abstract

Motivated by some recent work on a particular class of polynomial families associated with certain types of integer sequences, we formulate a sufficient condition under which the anti-diagonals products across sets of characterizing 2 × 2 matrices remain invariant as matrix power increases. Two proofs are given along with some examples.

Motivated by some recent work on a particular class of polynomial
families associated with certain types of integer sequences, we formulate
a sufficient condition under which the anti-diagonals products across
sets of characterizing 2 × 2 matrices remain invariant as matrix power
increases. Two proofs are given along with some examples.

KeywordsDiscrete mathematics; Applied mathematics
Year2015
JournalFibonacci Quarterly
PublisherThe Fibonacci Association
ISSN0015-0517
Web address (URL)http://hdl.handle.net/10545/620852
http://creativecommons.org/licenses/by/4.0/
hdl:10545/620852
Publication datesMay 2015
Publication process dates
Deposited15 Nov 2016, 11:59
ContributorsUniversity of Derby
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