Volume 16, Issue 2
A New Homotopy Method for Nonlinear Complementary Problems

J. D. Ding & H. Y. Yin

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 155-163

Published online: 2007-05

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  • Abstract
In this paper, we present a new homotopy method for the nonlinear complementarity problems. Without the regularity or non-singulary assumptions for $\nabla F(x)$, we prove that our homotopy equations have a bounded solution curve. The numerical tests confirm the efficiency of our proposed method.
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@Article{NM-16-155, author = {J. D. Ding and H. Y. Yin}, title = {A New Homotopy Method for Nonlinear Complementary Problems}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2007}, volume = {16}, number = {2}, pages = {155--163}, abstract = { In this paper, we present a new homotopy method for the nonlinear complementarity problems. Without the regularity or non-singulary assumptions for $\nabla F(x)$, we prove that our homotopy equations have a bounded solution curve. The numerical tests confirm the efficiency of our proposed method.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/10073.html} }
TY - JOUR T1 - A New Homotopy Method for Nonlinear Complementary Problems AU - J. D. Ding & H. Y. Yin JO - Numerical Mathematics, a Journal of Chinese Universities VL - 2 SP - 155 EP - 163 PY - 2007 DA - 2007/05 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/10073.html KW - AB - In this paper, we present a new homotopy method for the nonlinear complementarity problems. Without the regularity or non-singulary assumptions for $\nabla F(x)$, we prove that our homotopy equations have a bounded solution curve. The numerical tests confirm the efficiency of our proposed method.
J. D. Ding and H. Y. Yin. (2007). A New Homotopy Method for Nonlinear Complementary Problems. Numerical Mathematics, a Journal of Chinese Universities. 16 (2). 155-163. doi:
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