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Associativity of recurrence multiplication

✍ Scribed by P.J. Grabner; A. Petho&#x030B;; R.F. Tichy; G.J. Woeginger

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 411 KB
Volume: 7
Category: Article
ISSN: 0893-9659
DOI: 10.1016/0893-9659(94)90017-5

No coin nor oath required. For personal study only.

✦ Synopsis

An extension of Knuth's Fibonacci multiplication to recurrences Gk+d = alGk+d_l + + adGk with al 2 a2 2 2 ad > 0 and "canonical" initial values Gk = alGk_l + azGk_2 +

akGo + 1, 0 5 Ic < d is established. We prove associativity for this multiplication if a related parameter is chosen sufficiently large.

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