51 research outputs found
Solution sensitivity for Karush–Kuhn–Tucker systems with non-unique Lagrange multipliers
Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions
An SQP method for mathematical programs with vanishing constraints with strong convergence properties
ε-Distance Weighted Support Vector Regression
We gratefully thank Dr Teng Zhang and Prof Zhi-Hua Zhou for providing the source code of “LDM”, and their kind technical assistance. We also thank Prof Chih-Jen Lins team for providing the LIBSVM and LIBLINEAR packages and their support. This work is supported by the National Natural Science Foundation of China (Grant Nos.61472159, 61572227) and Development Project of Jilin Province of China (Grant Nos. 20140101180JC, 20160204022GX, 20180414012G H). This work is also partially supported by the 2015 Scottish Crucible Award funded by the Royal Society of Edinburgh and the 2016 PECE bursary provided by the Scottish Informatics & Computer Science Alliance (SICSA).Postprin
Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption
Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it
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