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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2001
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oai:animorepository.dlsu.edu.ph:etd_bachelors-176912022-01-26T00:59:42Z On the convergence of complex continued fractions using complex analysis and linear algebra Tin, Kristine Valerie T. Vendiola, Clarissa Anne I. 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. 2001-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/17178 Bachelor's Theses English Animo Repository |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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English |
| description |
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. |
| format |
text |
| author |
Tin, Kristine Valerie T. Vendiola, Clarissa Anne I. |
| spellingShingle |
Tin, Kristine Valerie T. Vendiola, Clarissa Anne I. On the convergence of complex continued fractions using complex analysis and linear algebra |
| author_facet |
Tin, Kristine Valerie T. Vendiola, Clarissa Anne I. |
| author_sort |
Tin, Kristine Valerie T. |
| title |
On the convergence of complex continued fractions using complex analysis and linear algebra |
| title_short |
On the convergence of complex continued fractions using complex analysis and linear algebra |
| title_full |
On the convergence of complex continued fractions using complex analysis and linear algebra |
| title_fullStr |
On the convergence of complex continued fractions using complex analysis and linear algebra |
| title_full_unstemmed |
On the convergence of complex continued fractions using complex analysis and linear algebra |
| title_sort |
on the convergence of complex continued fractions using complex analysis and linear algebra |
| publisher |
Animo Repository |
| publishDate |
2001 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/17178 |
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1772835162463141888 |