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Rodion Laptsuev's CV

Based on the paper Sometimes Newton's Method Cycles, we first asked ourselves if there were any Newtonian Method Cycle functions which have non-trivial guesses. We encountered a way to create functions that cycle between a set number of points with any initial, non-trivial guesses when Newton's Method is applied. We exercised these possibilities through the methods of 2-cycles, 3-cycles and 4-cycles. We then generalized these cycles into k-cycles. After generalizing Newton's Method, we found the conditions that skew the cycles into a spiral pattern which will either converge, diverge or become a near-cycle. Once we obtained all this information, we explored additional questions that rose up from our initial exploration of Newton's Method.

Ali Özen's Resume. Created using the Deedy CV template.

Prachi Agarwal's CV. Created with the Deedy CV template.

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Maher Moussa's CV. Created using the TwentySeconds CV template.

Edited on the outline of the CV by Aratikatla Umasankara Srinivasu and the Medium Length Professional CV template.

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William Senfuma's Résumé