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{\bf INDEFINITE TRUST REGION\\
 SUBPROBLEMS,\\
 INTERIOR POINT METHODS,\\
AND MAX-MIN EIGENVALUE PROBLEMS}

Henry Wolkowicz \\
Department of Combinatorics and Optimization \\
University of Waterloo\\

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work with Ron Stern (Concordia University), Svata Poljak (Charles
University), Franz Rendl (University of Graz), Bob Vanderbei (Princeton
University)