What is it about?

We study how the second order cone program in its primal and dual form is related to the semi-definite program in an interesting way, and this study contributes to the literature in having a better understanding on their relationship.

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Why is it important?

This study reveals an overlooked relation between a second order cone program and a semi-definite program.

Perspectives

In this work, we looked more closely into the way a second order cone program is related to a semi-definite program, besides what is commonly known in the literature on how a second order cone can be written as a positive semi-definite matrix.

Dr Chee Khian Sim
University of Portsmouth

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This page is a summary of: A note on treating a second order cone program as a special case of a semidefinite program, Mathematical Programming, August 2004, Springer Science + Business Media,
DOI: 10.1007/s10107-004-0546-3.
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Contributors

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