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Finding roots using divergent functional iteration

✍ Scribed by Ranjan Bhattacharya; Dhiranjan Roy; Siddhartha Bhowmick

Book ID: 107745526
Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 678 KB
Volume: 69
Category: Article
ISSN: 0010-4655
DOI: 10.1016/0010-4655(92)90172-u

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Let gn denote the iterates of a function y from the finite field FG into itself, defined induct~ively by go@) = x and g"(x) = g ( g n -l ( x ) ) , n>O. We study the existence of solutions to the functional equation g"=f, where f is a given linear, quadratic or CHEBYSIIEV function on .Fq, \*) Researc