Results 141 to 150 of about 900 (183)
Formation mechanism of the (2 × 1) reconstruction of calcite (104). [PDF]
Zhou H, Chen Y, Ding M, Zhong X.
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Extending the applicability of the local and semilocal convergence of Newton’s method
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Ioannis K Argyros, A Alberto Magreñán
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Semilocal Convergence Theorem for a Newton-Like Method
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Lin, Rong-Fei +4 more
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On the semilocal convergence of damped Newton’s method
Applied Mathematics and Computation, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioannis K Argyros, Said Hilout
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A new semilocal convergence theorem of Müller’s method
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weihong Bi, Hongmin Ren, Qingbiao Wu
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An analysis of the semilocal convergence for secant-like methods
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J A Ezquerro, M A Hernández-Verón
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Semilocal convergence for Halley’s method under weak Lipschitz condition
Applied Mathematics and Computation, 2009Let \(X,Y\) be Banach spaces, \(D\) be an open convex part of \(X\) and \(F:D\to Y\) be a continuous, twice Fréchet differentiable operator. The semilocal convergence of the Halley's method \[ x_{k+1}=x_k-(I-L_F(x_k))^{-1} F'(x_k)^{-1}F(x_k), \quad k\geq 0, \] towards the unique solution \(x^*\) of \(F(u)=0\) is established, under Lipschitz type ...
Xiubin Xu, Yonghui Ling
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Semilocal convergence of a sixth-order Jarratt method in Banach spaces
Numerical Algorithms, 2010Let \(X\) and \(Y\) be Banach spaces and \(F:\Omega\subset X\rightarrow Y\) be a three times Fréchet differentiable operator on an open convex subset \(\Omega\), and \(x_0 \in \Omega\) that satisfies C1) \(\left\|\Gamma_0F(x_0)\right\|\leq\eta\), C2) \(\left\|\Gamma_0\right\|\leq\beta\), C3) \(\left\|F''(x)\right\|\leq M, \;x \in \Omega\), C4) \(\left\|
Jisheng Kou +2 more
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Semilocal convergence by using recurrence relations for a fifth-order method in Banach spaces [PDF]
In this paper, a semilocal convergence result in Banach spaces of an efficient fifth-order method is analyzed. Recurrence relations are used in order to prove this convergence, and some a priori error bounds are found.
Alicia Cordero +2 more
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