### Abstract

This paper proposes a solution algorithm to explicitly obtain the exact optimal solution of a second-order cone programming (SOCP) problem. The proposed solution algorithm is based on a parametric solution approach to determine the optimal strict region of parameters, and the main procedures are to perform deterministic equivalent transformations for the main SOCP problem and to solve the KKT condition of auxiliary problem without the loss of optimality.

Original language | English |
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Title of host publication | IMECS 2011 - International MultiConference of Engineers and Computer Scientists 2011 |

Pages | 1484-1488 |

Number of pages | 5 |

Publication status | Published - 2011 |

Event | International MultiConference of Engineers and Computer Scientists 2011, IMECS 2011 - Kowloon, Hong Kong Duration: 2011 Mar 16 → 2011 Mar 18 |

### Publication series

Name | IMECS 2011 - International MultiConference of Engineers and Computer Scientists 2011 |
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Volume | 2 |

### Other

Other | International MultiConference of Engineers and Computer Scientists 2011, IMECS 2011 |
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Country | Hong Kong |

City | Kowloon |

Period | 11/3/16 → 11/3/18 |

### Keywords

- Exact optimal solution
- KKT condition
- Parametric approach
- SOCP problem

### ASJC Scopus subject areas

- Computer Science(all)
- Engineering(all)

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## Cite this

Hasuike, T. (2011). On an exact optimal solution for a second-order cone programming problem. In

*IMECS 2011 - International MultiConference of Engineers and Computer Scientists 2011*(pp. 1484-1488). (IMECS 2011 - International MultiConference of Engineers and Computer Scientists 2011; Vol. 2).