Foundations of Optimization,Springer Verlag, 2010, Graduate Texts in Mathematics, Vol. 258.
Papers
``The symmetry of convex sets and its applications to the extremal ellipsoids of convex bodies,''
(with Filiz Gürtuna),
Optimization Methods and Software, 2011.
``Duality in quasi-Newton methods and new variational characterizations of the DFP and
BFGS updates,'' (with Filiz Gürtuna and Olena Shevchenko),
Optimization Methods and Software 24 (2009) 45-62.
``Convergence rate estimates for the gradient differential inclusion,''
Optimization Methods and Software 20 (2005) 729-735.
``Self-scaled barrier functions on symmetric cones and their
classification,''(with Raphael A. Hauser),
Foundations of Computational Mathematics 2 (2002) 121-143.
``Hyperbolic polynomials and convex analysis,''
(with Heinz H. Bauschke, Adrian S. Lewis, and Hristo S. Sendov),
Canadian Journal of Mathematics 53 (2001) 470-488.
``Characterization of the barrier parameter of homogeneous convex cones,''
(with Levent Tuncel).
Mathematical Programming 81 (1998) 55-76.
``Hyperbolic polynomials and interior point methods for
convex programming,''
Mathematics of Operations Research 22 (1997) 350-377.
``On the self-concordance of the universal barrier function,''
SIAM Journal on Optimization 7 (1997) 295-303.
``Barrier functions in interior point methods,''
Mathematics of Operations Research
21 (1996) 860-885.
``A survey of the implications of the behavior of the central
path for the duality theory of linear programming,''
(with Cornelis Roos, Tamas Terlaky, and Jean-Philip Vial).
Management Science 41 (1995) 1922-1934.
``Generalized linear complementarity problems.''
Mathematics of Operations Research 20 (1995) 441-448.
``Approximation of solutions of linear inequalities,''
(with Alan J. Hoffman and Uriel Rothblum).
SIAM Journal on Matrix Analysis and Applications
16 (1995) 688-696.
``Ergodic convergence in proximal point algorithms with Bregman
functions,'' in Advances in Optimization and
Approximation, D. Z. Du and J. Sun (Eds.), pp. 155-165,
(Kluwer Academic Publishers, Boston, Dordrecht, 1994).
``Limiting behavior of weighted central paths in linear programming,''
Mathematical Programming, (Series A) 65 (1994) 347-363.
``Complexity of smooth convex programming and its applications,''
in Complexity of Numerical Optimization,
P. M. Pardalos (Ed.), pp. 180-202, (World Scientific, Singapore,
New Jersey, 1993).
``Degeneracy in interior point algorithms for linear programming:
a survey,'' (with Dick den Hertog, Cornelis Roos, Tamas Terlaky,
and Takashi Tsuchiya) Annals of Operations Research
46 (1993) 107-138.
``A quadratically convergent $O(sqrt{n}L)$-iteration algorithm for
linear programming,'' (with Yinyu Ye, Richard A. Tapia, and Yin Zhang)
Mathematical Programming (Series A) 59 (1993) 151-162.
``Convergence behavior of interior point algorithms,'' (with Yinyu Ye)
Mathematical Programming (Series A) 60 (1993) 215-228.
``Existence of interior points and interior paths in nonlinear monotone
complementarity problems,''
Mathematics of Operations Research 18 (1993) 128-147.
``New proximal point algorithms for convex minimization,''
SIAM Journal on Optimization 2 (1992) 649-664.
``Augmented Lagrangian algorithms for linear programming,''
Journal of Optimization Theory and Applications
75 (1992) 445-470.
``On the convergence of the proximal point algorithm for convex
minimization,'' SIAM Journal on Control and Optimization
29 (1991) 403-419.