Jeffrey C. Lagarias: Mathematical Programming and Optimization papers

• Multi-stage planning and the extended linear-quadratic-Gaussian control problem ,
  J. C. Lagarias and F. Aminzadeh,
  Math. Operations Research 8 (1983), pp. 42-63.

• The non-linear geometry of linear programming I. Affine and projective scaling trajectories ,
  D. A. Bayer and J. C. Lagarias,
  Trans. Amer. Math. Soc. 314 (1989), pp. 499-526.

• The non-linear geometry of linear programming II. Legendre transform coordinates and central trajectories ,
  D. A. Bayer and J. C. Lagarias,
  Trans. Amer. Math. Soc. 314 (1989), pp. 527-581.

• The non-linear geometry of linear programming III. Projective Legendre transform coordinates and Hilbert geometry ,
  J. C. Lagarias,
  Trans. Amer. Math. Soc. 320 (1990), pp. 193-225.

• Power series variants of Karmarkar-type algorithms ,
  N. Karmarkar, J. C. Lagarias, L. Slutsman and P. Wang,
  AT&T Technical Journal 68 , No. 3 (1989), pp. 20-36.

• I. I. Dikin's convergence result for the affine scaling algorithm ,
  R. Vanderbei and J. C. Lagarias,
  in: Mathematical Developments Arising From Linear Programming ,
  (J. C. Lagarias and M. J. Todd, eds.), Comtemporary Math. vol. 114, AMS: Providence 1990, pp. 109-119.

• Monotonicity inequalities for the Toda flow, QR-flow and subspace iteration ,
  J. C. Lagarias,
  SIAM J. Matrix Anal. Appl. 12 (1991), pp. 449-462.

• Bounds for lattice polytopes containing a fixed number of lattice points ,
  Jeffrey C. Lagarias and Gu"nter W. Ziegler,
  Canad. J. Math. 43 (1991), pp. 1022-1035.

• Karmarkar's Algorithm and Newton's Method ,
  D. A. Bayer and J. C. Lagarias,
  Math. Programming 50 (1991), pp. 291-320.

• A Lie bracket decomposition and its application to flows on symmetric matrices ,
  Jeffrey C. Lagarias ,
  Lin. Alg. Appl. 175 (1992), pp. 239-257.

• A collinear scaling interpretation of Karmarkar's linear programming algorithm ,
  Jeffrey C. Lagarias,
  SIAM J. Optimization 3 (1993), pp. 630-636.

• The d-Step Conjecture and Gaussian Elimination ,
  J. C. Lagarias, N. Prabhu, and J. A. Reeds,
  Discrete & Computational Geometry , 18 (1997), pp. 53-82. [PostScript]

• Counting d-Step Paths in Extremal Dantzig Figures ,
  J. C. Lagarias and N. Prabhu,
  Discrete & Computational Geometry , to appear.

• Threading Homotopies and DC Operating Points of Nonlinear Circuits ,
  Ross Geoghegan, Jeffrey C. Lagarias and Robert C. Melville,
  SIAM J. Optimization , to appear. [PostScript]

• Convergence Properties of the Nelder-Mead Simplex Algorithm in Low Dimensions ,
  Jeffrey C. Lagarias, James A. Reeds, Margaret H. Wright and Paul E. Wright,
  SIAM J. Optimization , to appear.
  Also: Computing Sciences Research Center, Bell Laboratories, Technical Report 96-4-07, [PostScript]