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» On the convergence of Hill's method
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ENTCS
2008
91views more  ENTCS 2008»
15 years 24 days ago
Newton's method and the Computational Complexity of the Fundamental Theorem of Algebra
Several different uses of Newton's method in connection with the Fundamental Theorem of Algebra are pointed out. Theoretical subdivision schemes have been combined with the n...
Prashant Batra
100
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MOC
2002
108views more  MOC 2002»
15 years 12 days ago
Newton-like method with modification of the right-hand-side vector
This paper proposes a new Newton-like method which defines new iterates using a linear system with the same coefficient matrix in each iterate, while the correction is performed on...
Natasa Krejic, Zorana Luzanin
107
Voted
AMC
2007
136views more  AMC 2007»
15 years 26 days ago
Iterative method for solving a nonlinear boundary value problem
In this paper, a boundary value problem for a nonlinear second-order ordinary differential equation is studied. By means of the maximum principle we established the existence and...
A. Dang Quang
AMC
2006
119views more  AMC 2006»
15 years 24 days ago
Interval iterative methods for computing Moore-Penrose inverse
In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton itera...
Xian Zhang, Jianfeng Cai, Yimin Wei
112
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ICML
2007
IEEE
16 years 1 months ago
Trust region Newton methods for large-scale logistic regression
Large-scale logistic regression arises in many applications such as document classification and natural language processing. In this paper, we apply a trust region Newton method t...
Chih-Jen Lin, Ruby C. Weng, S. Sathiya Keerthi