Solving cubic equations using linear fractional transformation

2021 ◽  
pp. 1-3
Author(s):  
Raghavendra G. Kulkarni
Keyword(s):  
Linear Fractional Transformation

The depth of continued fraction expansion for some classes of rational functions

2020 ◽  
pp. 2150033
Author(s):  
Yanapat Tongron ◽  
Narakorn Rompurk Kanasri ◽  
Vichian Laohakosol
Keyword(s):  
Rational Function ◽  
Upper Bound ◽  
Continued Fraction ◽  
Rational Functions ◽  
Linear Fractional Transformation ◽  
Continued Fraction Expansion ◽  
Polynomial Formula ◽  
Nonzero Polynomial

For nonzero polynomials [Formula: see text] and [Formula: see text] over a field [Formula: see text], let [Formula: see text] be the depth (length) of the continued fraction expansion for [Formula: see text]. An upper bound on [Formula: see text], for nonzero polynomial [Formula: see text] and rational function [Formula: see text] is obtained. Applying this result, an upper bound on the depth of a linear fractional transformation is also established.

scholarly journals Linear Fractional Transformation co-modeling of high-order aeroelastic systems for robust flutter analysis

2020 ◽  
Vol 54 ◽  
pp. 49-63 ◽  
Author(s):  
Andrea Iannelli ◽  
Andrés Marcos ◽  
Rocco Bombardieri ◽  
Rauno Cavallaro
Keyword(s):  
High Order ◽  
Linear Fractional Transformation ◽  
Flutter Analysis
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