Two-step Ulm-type method for solving nonlinear operator equations
Filomat, Tome 35 (2021) no. 3, p. 723

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In this paper, we present a two-step Ulm-type method to solve systems of nonlinear equations without computing Jacobian matrices and solving Jacobian equations. we prove that the two-step Ulm-type method converges locally to the solution with R-convergence rate 3. Numerical implementations demonstrate the effectiveness of the new method
DOI : 10.2298/FIL2103723M
Classification : 65H10, 65J15, 47H30
Keywords: Nonlinear equation, Two-step, Ulm-type method, R-convergence rate 3
Wei Ma; Liuqing Hua. Two-step Ulm-type method for solving nonlinear operator equations. Filomat, Tome 35 (2021) no. 3, p. 723 . doi: 10.2298/FIL2103723M
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     author = {Wei Ma and Liuqing Hua},
     title = {Two-step {Ulm-type} method for solving nonlinear operator equations},
     journal = {Filomat},
     pages = {723 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103723M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103723M/}
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