%0 Journal Article
%T Analytic Theory of Finite Asymptotic  Expansions in the Real Domain. Part II-C: Constructive Algorithms for Canonical  Factorizations and a Special Class of  Asymptotic Scales
%A Antonio Granata
%J Advances in Pure Mathematics
%P 503-526
%@ 2160-0384
%D 2015
%I Scientific Research Publishing
%R 10.4236/apm.2015.58047
%X This part II-C of our work completes the factorizational theory of asymptotic expansions in the real domain. Here we present two algorithms for constructing canonical factorizations of a disconjugate operator starting from a basis of its kernel which forms a Chebyshev asymptotic scale at an endpoint. These algorithms arise quite naturally in our asymptotic context and prove very simple in special cases and/or for scales with a small numbers of terms. All the results in the three Parts of this work are well illustrated by a class of asymptotic scales featuring interesting properties. Examples and counterexamples complete the exposition.
%K Asymptotic Expansions
%K Canonical Factorizations of Disconjugate Operators
%K Algorithms for  Canonical Factorizations
%K Chebyshev Asymptotic Scales
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=57682