On weighted centers for semidefinite programming

Jos F. Sturm; Shuzhong Zhang

doi:10.1016/S0377-2217(99)00299-4

On weighted centers for semidefinite programming

Jos F. Sturm
, Shuzhong Zhang

Industrial and Systems Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we generalize the notion of weighted centers to semidefinite programming. Our analysis fits in the v-space framework, which is purely based on the symmetric primal-dual transformation and does not make use of barriers. Existence and scale invariance properties are proven for the weighted centers. Relations with other primaldual maps are discussed.

Original language	English (US)
Pages (from-to)	391-407
Number of pages	17
Journal	European Journal of Operational Research
Volume	126
Issue number	2
DOIs	https://doi.org/10.1016/S0377-2217(99)00299-4
State	Published - Oct 16 2000

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title = "On weighted centers for semidefinite programming",

abstract = "In this paper, we generalize the notion of weighted centers to semidefinite programming. Our analysis fits in the v-space framework, which is purely based on the symmetric primal-dual transformation and does not make use of barriers. Existence and scale invariance properties are proven for the weighted centers. Relations with other primaldual maps are discussed.",

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AU - Sturm, Jos F.

AU - Zhang, Shuzhong

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Y1 - 2000/10/16

N2 - In this paper, we generalize the notion of weighted centers to semidefinite programming. Our analysis fits in the v-space framework, which is purely based on the symmetric primal-dual transformation and does not make use of barriers. Existence and scale invariance properties are proven for the weighted centers. Relations with other primaldual maps are discussed.

AB - In this paper, we generalize the notion of weighted centers to semidefinite programming. Our analysis fits in the v-space framework, which is purely based on the symmetric primal-dual transformation and does not make use of barriers. Existence and scale invariance properties are proven for the weighted centers. Relations with other primaldual maps are discussed.

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UR - https://www.scopus.com/pages/publications/0034675398#tab=citedBy

U2 - 10.1016/S0377-2217(99)00299-4

DO - 10.1016/S0377-2217(99)00299-4

M3 - Article

AN - SCOPUS:0034675398

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VL - 126

SP - 391

EP - 407

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 2

ER -

On weighted centers for semidefinite programming

Abstract

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