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Application of Rectangular Full Packed and Blocked Hybrid Matrix Formats in Semidefinite Programming for Sensor Network Localization

  • Jacek Błaszczyk
  • Ewa Niewiadomska-Szynkiewicz
  • Michał Marks
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4967)

Abstract

This paper addresses issues associated with reduction of memory usage for a semidefinite programming (SDP) relaxation based method and its application to position estimation problem in ad-hoc wireless sensor networks. We describe two new CSDP solvers (semidefinite programming in C) using two algorithms for Cholesky factorization implementing RFP and BHF matrix storage formats and different implementations of BLAS/LAPACK libraries (Netlib’s BLAS/LAPACK, sequential and parallel versions of ATLAS, Intel MKL and GotoBLAS). The numerical results given and discussed in the final part of the paper show that using both RFP and BHF data formats preserve high numerical performance of the LAPACK full data format while using half the computer storage.

Keywords

semidefinite programming Cholesky factorization novel matrix data structures wireless sensor networks localization methods 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Jacek Błaszczyk
    • 1
  • Ewa Niewiadomska-Szynkiewicz
    • 1
  • Michał Marks
    • 1
  1. 1.Institute of Control and Computation Engineering Faculty of Electronics and Information TechnologyWarsaw University of TechnologyWarsawPoland

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