On the convergence of complex continued fractions using complex analysis and linear algebra
Date of Publication
2001
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis is based on two articles, namely Convergence of Complex Continued Fractions by J. Marafino and T. McDevitt and Matrices, Continued Fractions, and Some Early History of Iteration Theory by M. Sormani. We used complex analysis and linear algebra to study the convergence of the complex continued fraction 1/c. 1+ c .... In both techniques, we have shown that it converges for all complex numbers c except those on the real line less than -1/4.
Abstract Format
html
Language
English
Format
Accession Number
TU10740
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
58 leaves
Recommended Citation
Tin, K. T., & Vendiola, C. I. (2001). On the convergence of complex continued fractions using complex analysis and linear algebra. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17178
