A cubic-order variant of Newton’s method for finding multiple roots of nonlinear equations
Tóm tắt
Từ khóa
Tài liệu tham khảo
Du, 1997, The quasi-Laguerre iteration, Mathematics of Computation, 66, 345, 10.1090/S0025-5718-97-00786-2
Geum, 2007, The asymptotic error constant of leap-frogging Newton’s method locating a simple real zero, Applied Mathematics and Computation, 189, 963, 10.1016/j.amc.2006.11.150
Petkovic, 2003, Hansen–Patrick’s family is of Laguerre’s type, Novi Sad Journal of Mathematics, 33, 109
Potra, 1984, vol. 103
Traub, 1982
Kalantari, 2000, Generalization of Taylor’s theorem and Newton’s method via a new family of determinantal interpolation formulas, Journal of Computational and Applied Mathematics, 126, 287, 10.1016/S0377-0427(99)00360-X
Kalantari, 2001, A computational comparison of the first nine members of a determinantal family of root-finding methods, Journal of Computational and Applied Mathematics, 130, 197, 10.1016/S0377-0427(99)00383-0
Kalantari, 2008
Conte, 1980
Stoer, 1980
Kou, 2006, A modification of Newton method with third-order convergence, Applied Mathematics and Computation, 181, 1106, 10.1016/j.amc.2006.01.076
Mathews, 1982
Clark, 1971
Spiegel, 1968
Marsden, 1974
Wolfram, 1999