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Solving symmetric indefinite systems in an interior-point method for second order cone programming

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dc.creator Toh, Kim Chuan
dc.creator Cai, Zhi
dc.creator Freund, Robert M.
dc.date 2003-12-23T03:16:45Z
dc.date 2003-12-23T03:16:45Z
dc.date 2002-01
dc.date.accessioned 2013-10-09T02:33:46Z
dc.date.available 2013-10-09T02:33:46Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/4016
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description Many optimization problems can be formulated as second order cone programming (SOCP) problems. Theoretical results show that applying interior-point method (IPM) to SOCP has global polynomial convergence. However, various stability issues arise in the implementation of IPM. The standard normal equation based implementation of IPM encounters stability problems in the computation of search direction. In this paper, an augmented system approach is proposed to overcome the stability problems. Numerical experiments show that the new approach can improve the stability.
dc.description Singapore-MIT Alliance (SMA)
dc.format 172213 bytes
dc.format application/pdf
dc.language en_US
dc.relation High Performance Computation for Engineered Systems (HPCES);
dc.subject second order cone programming
dc.subject SOCP
dc.subject interior-point methog
dc.subject reduced augmented system approach
dc.title Solving symmetric indefinite systems in an interior-point method for second order cone programming
dc.type Article


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