On the convergence of complex continued fractions using complex analysis and linear algebra
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 cont...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
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Animo Repository
2001
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| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/17178 |
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| Institution: | De La Salle University |
| Language: | English |
| 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. |
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