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picture1_Newton Method For System Of Nonlinear Equations 178514 | 2014 Newton Method


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File: Newton Method For System Of Nonlinear Equations 178514 | 2014 Newton Method
Newton’s Method on a System of Nonlinear Equations Nicolle Eagan, University at Bu↵alo George Hauser, Brown University Research Advisor: Dr. Timothy Flaherty, Carnegie Mellon University Abstract Newton’s ...

icon picture PDF Filetype PDF | Posted on 29 Jan 2023 | 2 years ago

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...Newton s method on a system of nonlinear equations nicolle eagan university at bu alo george hauser brown research advisor dr timothy flaherty carnegie mellon abstract is an algorithm for nding the roots di erentiable functions that uses iterated local linearization function to approxi mate its also extends systems n eren tiable in variables this paper we examine dynamics two bivariate polynomials explore generalization polynomi als as well techniques computer visualization corresponding particular investigate whether attracting cycles arise certain cubic one complex variable case quadratics introduction dened study dynamical context plane it broad eld can be examined through many erent perspectives including applied polynomial equation allows us approximate iteration e ective because happen xed points so when root passed will still return exact same value see found correspond distinct components fatou set from determine basins attraction starting which each point iterates since easily...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 29 Jan 2023 | 2 years ago
										
										
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Filetype: PDF
										
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