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Title of Journal: J Appl Math Comput

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Abbravation: Journal of Applied Mathematics and Computing

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Springer-Verlag

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DOI

10.1016/0012-365x(83)90185-1

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1865-2085

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Subquadratic convergence of a smoothing Newton me

Authors: Xiaoni Chi Sanyang Liu
Publish Date: 2008/01/05
Volume: 26, Issue: 1-2, Pages: 489-502
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Abstract

In this paper we present a smoothing Newton method for solving the secondorder cone programming SOCP based on the Chen–Harker–Kanzow–Smale CHKS smoothing function Our smoothing method reformulates SOCP as a nonlinear system of equations and then applies Newton’s method to the system The proposed method solves only one linear system of equations and performs only one line search at each iteration It is shown that the method is globally and locally subquadratically convergent under a nonsingularity assumption Numerical results suggest that the method is promising

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  2. Similarity-based minimization of fuzzy tree automata
  3. Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons
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  7. Observability of linear time-invariant descriptor systems with a derivative in the output
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  9. Algebraic cryptanalysis of stream ciphers using decomposition of Boolean function
  10. $$H_{\infty }$$ filtering for discrete-time fuzzy stochastic neural networks with mixed time-delays
  11. Cyclic DNA codes over $$\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2$$ and their applications
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  13. On the Leverrier-Faddeev algorithm for computing the Moore-Penrose inverse
  14. On complementary dual quasi-twisted codes
  15. An ODE-based nonmonotone method for unconstrained optimization problems
  16. An ODE-based nonmonotone method for unconstrained optimization problems
  17. On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions
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