Conic Formulation for l p -Norm Optimization

François Glineur and T. Terlaky
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T. Terlaky: McMaster University

Journal of Optimization Theory and Applications, 2004, vol. 122, issue 2, No 3, 285-307

Abstract: Abstract In this paper, we formulate the l p -norm optimization problem as a conic optimization problem, derive its duality properties (weak duality, zero duality gap, and primal attainment) using standard conic duality and show how it can be solved in polynomial time applying the framework of interior-point algorithms based on self-concordant barriers.

Keywords: Duality theory; l p -norm optimization; conic optimization; interior-point methods; self-concordant barrier (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTA.0000042522.65261.51

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