Ten Years Collaboration with Jos Sturm

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Ten Years Collaboration with Jos Sturm A
Tribute with Personal Memories

• Speaker Shuzhong Zhang
• HPOPT 2004
• June 24, 2004
• Amsterdam, The Netherlands

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Biography of Jos F. Sturm

• Born in Rotterdam, August 13, 1971.
• Drs title at Department of Econometrics,
  University of Groningen, 1993.
• Ph.D. degree at Tinbergen Institute, Erasmus
  University Rotterdam, 1997.
• Year 1997 1998, postdoc fellow at CRL, McMaster
  University.
• Year 1998 2001, Assistant Professor at
  Department of Quantitative Economics, Maastricht
  University.
• Year 2001 2003, Associate Professor at CentER,
  Tilburg University.

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Highlights

• Ph.D. dissertation won Gijs de Leve Prize (best
  thesis in OR/MS in The Netherlands, 1997 1999).
• TALENT fellow, NWO (Dutch Organization for
  Sciences), 1997 1998.
• Vernieuwingsimpuls Grant from NWO, 2001.
• Editor of the newsletter Views-and-News,
  SIAG/OPT.
• Associate Editor, Mathematical Programming, Ser
  B.
• Council member-at-large of the Mathematical
  Programming Society.

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Scientific Achievements

• Author of about 30 scientific papers
• Author of SeDuMi a highly reputable SDP and
  SOCP solver
• Helped to solve many real-life, large-size,
  difficult optimization problems

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Contents in this talk

• The Iri-Imai method for LP
• Cone affine scaling and wide neighborhood
• Symmetric primal-dual transformation for SDP
• Error bound for the central path for SDP
• Weighted centers, long steps, and superlinear
  convergence for SDP

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Contents in this talk (continue)

• Duality theory for conic programming
• Self-dual embedding
• Sensitivity of the central solutions for SDP
• The cone of nonnegative quadratic functions and
  the rank-one decompositions
• Quadratic matrix inequalities

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The best way to remember Jos is to remember his
work.

• Thank you for your attention!