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Convergence of Broyden-like matrix

✍ Scribed by Donghui Li; Jinping Zeng; Shuzi Zhou


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
156 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis


In this paper, the convergence of Broyden-like matrices generated by Broyden-like method for solving nonlinear equations F(x) = 0 is discussed. Under suitable conditions, it is proved that the matrix sequence converges to the gradiauent of F(x).


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On the Convergence of Broyden-Like Metho
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A smoothing Broyden-like method is proposed for solving nonlinear complementarity problem in this paper. The algorithm considered here is based on the smooth approximation Fischer-Burmeister function and makes use of the line search rule of Li and Fukushima [A derivative-free line search and global