Solution and sensitivity analysis of nonlinear equations using a hypercomplex-variable Newton-Raphson method

Here, the classical Newton-Raphson (NR) method for solving nonlinear equations is enhanced in two ways through the use of hypercomplex variables and algebra. In particular, i) the Jacobian is computed in a highly accurate and automated way, and ii) the derivative of the solution to the nonlinear equ...

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Veröffentlicht in:	Applied mathematics and computation 2023-04, Vol.451 (C)
Hauptverfasser:	Aristizabal, Mauricio, Hernández-Estrada, José L., Garcia, Manuel, Millwater, Harry
Format:	Artikel
Sprache:	eng
Schlagworte:	Catenary Elastic cable Hypercomplex numbers Mathematics MATHEMATICS AND COMPUTING Newton-Raphson Nonlinear equations
Online-Zugang:	Volltext
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