A New Primal-Dual Interior-Point Method for Semidefinite Optimization Based on a New Wide Neighborhood with Infinity-Norm

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nasrollahi Afsaneh; kheirfam Behrouz

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Journal Paper

Paper Information

Journal: JOURNAL OF SCIENCE AND ENGINEERING ELITES Year:2020 | Volume:4 | Issue:6 Page(s): 138-144

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Title

A New Primal-Dual Interior-Point Method for Semidefinite Optimization Based on a New Wide Neighborhood with Infinity-Norm

Author(s)

nasrollahi Afsaneh | kheirfam Behrouz | Issue Writer Certificate

Keywords

Semidefinite optimization

wide neighborhood

interior-point method

iteration complexity bound

Abstract

In this paper, we present a new primal-dual interior-point algorithm based on a new large neighbourhood ( ,  )  N for Semidefinite optimization. This large neighbourhood is based on the infinity norm. It is larger than the N( ,  ) large neighborhood of the central path, which is popular wide neighborhood. We demonstraite the convergence of the proposed algorithm and show that the algorithm has ( log ) 1 2 1    p O n iteration complexity bound for the Nesterov-Todd direction.

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APA: Copy

nasrollahi, Afsaneh, & kheirfam, Behrouz. (2020). A New Primal-Dual Interior-Point Method for Semidefinite Optimization Based on a New Wide Neighborhood with Infinity-Norm. JOURNAL OF SCIENCE AND ENGINEERING ELITES, 4(6 ), 138-144. SID. https://sid.ir/paper/742234/en

Vancouver: Copy

nasrollahi Afsaneh, kheirfam Behrouz. A New Primal-Dual Interior-Point Method for Semidefinite Optimization Based on a New Wide Neighborhood with Infinity-Norm. JOURNAL OF SCIENCE AND ENGINEERING ELITES[Internet]. 2020;4(6 ):138-144. Available from: https://sid.ir/paper/742234/en

IEEE: Copy

Afsaneh nasrollahi, and Behrouz kheirfam, “A New Primal-Dual Interior-Point Method for Semidefinite Optimization Based on a New Wide Neighborhood with Infinity-Norm,” JOURNAL OF SCIENCE AND ENGINEERING ELITES, vol. 4, no. 6 , pp. 138–144, 2020, [Online]. Available: https://sid.ir/paper/742234/en

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