An Accelerated Iterative Method with Third-Order Convergence
2012 ◽
Vol 220-223
◽
pp. 2658-2661
Keyword(s):
We present a new modified Newton's method with third-order convergence and compare it with the Jarratt method, which is of fourth-order. Based on this new method, we obtain a family of Newton-type methods, which converge cubically. Numerical examples show that the presented method can compete with Newton's method and other known third-order modifications of Newton's method.
2015 ◽
Vol 34
(2)
◽
pp. 197-211
2011 ◽
Vol 60
(2)
◽
pp. 145-159
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Keyword(s):
2003 ◽
Vol 156
(2)
◽
pp. 345-354
◽
Keyword(s):
2017 ◽
Vol 10
(1)
◽
pp. 144-150
◽
2006 ◽
Vol 183
(1)
◽
pp. 659-684
◽
2003 ◽
Vol 140
(2-3)
◽
pp. 419-426
◽
2019 ◽
Vol 38
(3)
◽
pp. 111-123
2019 ◽
Vol 17
(01)
◽
pp. 1843005
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