The SC1 property of the squared norm of the SOC Fischer-Burmeister function
We show that the gradient mapping of the squared norm of Fischer–Burmeister function is globally Lipschitz continuous and semismooth, which provides a theoretical basis for solving nonlinear second-order cone complementarity problems via the conjugate gradient method and the semismooth Newton’s meth...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2008
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| Online Access: | http://hdl.handle.net/20.500.11937/23160 |
| _version_ | 1848751072651247616 |
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| author | Chen, J. Sun, D. Sun, Jie |
| author_facet | Chen, J. Sun, D. Sun, Jie |
| author_sort | Chen, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We show that the gradient mapping of the squared norm of Fischer–Burmeister function is globally Lipschitz continuous and semismooth, which provides a theoretical basis for solving nonlinear second-order cone complementarity problems via the conjugate gradient method and the semismooth Newton’s method. |
| first_indexed | 2025-11-14T07:46:55Z |
| format | Journal Article |
| id | curtin-20.500.11937-23160 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:46:55Z |
| publishDate | 2008 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-231602018-03-29T09:06:48Z The SC1 property of the squared norm of the SOC Fischer-Burmeister function Chen, J. Sun, D. Sun, Jie We show that the gradient mapping of the squared norm of Fischer–Burmeister function is globally Lipschitz continuous and semismooth, which provides a theoretical basis for solving nonlinear second-order cone complementarity problems via the conjugate gradient method and the semismooth Newton’s method. 2008 Journal Article http://hdl.handle.net/20.500.11937/23160 10.1016/j.orl.2007.08.005 Elsevier restricted |
| spellingShingle | Chen, J. Sun, D. Sun, Jie The SC1 property of the squared norm of the SOC Fischer-Burmeister function |
| title | The SC1 property of the squared norm of the SOC Fischer-Burmeister function |
| title_full | The SC1 property of the squared norm of the SOC Fischer-Burmeister function |
| title_fullStr | The SC1 property of the squared norm of the SOC Fischer-Burmeister function |
| title_full_unstemmed | The SC1 property of the squared norm of the SOC Fischer-Burmeister function |
| title_short | The SC1 property of the squared norm of the SOC Fischer-Burmeister function |
| title_sort | sc1 property of the squared norm of the soc fischer-burmeister function |
| url | http://hdl.handle.net/20.500.11937/23160 |