A modified infeasible homotopy algorithm for computing fixed point in general non-convex set
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2002
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Authors
Zhichuan Zhu
- School of Statistics, Jilin University of Finance and Economics, Changchun, Jilin 130117, China.
Ruifeng Wu
- School of Applied Mathematics, Jilin University of Finance and Economics, Changchun, Jilin 130117, China.
Yanchun Xing
- School of Statistics, Jilin University of Finance and Economics, Changchun, Jilin 130117, China.
Abstract
In this paper, to find a fixed point of self-mapping in the general
non-convex set with both equality constraints and inequality
constraints, a modified infeasible homotopy for perturbing only
inequality constraints is constructed and the global convergence of
the smooth homotopy pathways is proved under some much weaker
conditions. The advantage of the modified homotopy is that the
initial point needs to be only in the shifted set with only
inequality constraints, not necessarily, a feasible point in the
original set, and hence it is more convenient to be implemented than
the existing methods. The feasibility and effectiveness of the
modified homotopy method is shown by some numerical tests.
Share and Cite
ISRP Style
Zhichuan Zhu, Ruifeng Wu, Yanchun Xing, A modified infeasible homotopy algorithm for computing fixed point in general non-convex set, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5904--5913
AMA Style
Zhu Zhichuan, Wu Ruifeng, Xing Yanchun, A modified infeasible homotopy algorithm for computing fixed point in general non-convex set. J. Nonlinear Sci. Appl. (2017); 10(11):5904--5913
Chicago/Turabian Style
Zhu, Zhichuan, Wu, Ruifeng, Xing, Yanchun. "A modified infeasible homotopy algorithm for computing fixed point in general non-convex set." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5904--5913
Keywords
- Infeasible homotopy
- fixed point
- self-mapping
- non-convex set
MSC
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