Michael J. Todd

According to our database1, Michael J. Todd authored at least 89 papers between 1974 and 2018.

Collaborative distances:



In proceedings 
PhD thesis 



On csauthors.net:


On max-k-sums.
Math. Program., 2018

Computation, Multiplicity, and Comparative Statics of Cournot Equilibria in Integers.
Math. Oper. Res., 2016

Minimum volume ellipsoids - theory and algorithms.
MOS-SIAM Series on Optimization 23, SIAM, ISBN: 978-1-611-97437-9, 2016

An Improved Kalai-Kleitman Bound for the Diameter of a Polyhedron.
SIAM J. Discret. Math., 2014

Augmented Active Surface Model for the Recovery of Small Structures in CT.
IEEE Trans. Image Process., 2013

A modified Frank-Wolfe algorithm for computing minimum-area enclosing ellipsoidal cylinders: Theory and algorithms.
Comput. Geom., 2013

A robust robust optimization result.
Oper. Res. Lett., 2012

Proportional Response as Iterated Cobb-Douglas.
Proceedings of the Equilibrium Computation, 25.04. - 30.04.2010, 2010

Largest dual ellipsoids inscribed in dual cones.
Math. Program., 2009

Linear convergence of a modified Frank-Wolfe algorithm for computing minimum-volume enclosing ellipsoids.
Optimization Methods and Software, 2008

Dual versus primal-dual interior-point methods for linear and conic programming.
Math. Program., 2008

Active surface modeling at CT resolution limits with micro CT ground truth.
Proceedings of the International Conference on Image Processing, 2008

On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids.
Discret. Appl. Math., 2007

Mathematical programming.
Proceedings of the Handbook of Discrete and Computational Geometry, Second Edition., 2004

Solving semidefinite-quadratic-linear programs using SDPT3.
Math. Program., 2003

Found. Comput. Math., 2003

An Interior-Point Approach to Sensitivity Analysis in Degenerate Linear Programs.
SIAM J. Optim., 2002

The many facets of linear programming.
Math. Program., 2002

On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods.
Found. Comput. Math., 2002

Sensitivity analysis in linear programming and semidefinite programming using interior-point methods.
Math. Program., 2001

Characterizations, bounds, and probabilistic analysis of two complexity measures for linear programming problems.
Math. Program., 2001

On two homogeneous self-dual approaches to linear programming and its extensions.
Math. Program., 2001

Least-change quasi-Newton updates for equality-constrained optimization.
Math. Program., 2000

Infeasible-start primal-dual methods and infeasibility detectors for nonlinear programming problems.
Math. Program., 1999

On the Nesterov-Todd Direction in Semidefinite Programming.
SIAM J. Optim., 1998

Primal-Dual Interior-Point Methods for Self-Scaled Cones.
SIAM J. Optim., 1998

Approximate Farkas lemmas and stopping rules for iterative infeasible-point algorithms for linear programming.
Math. Program., 1998

Erratum: Probabilistic Models for Linear Programming.
Math. Oper. Res., 1998

Self-Scaled Barriers and Interior-Point Methods for Convex Programming.
Math. Oper. Res., 1997

On the Interplay among Entropy, Variable Metrics and Potential Functions in Interior-Point Algorithms.
Comput. Optim. Appl., 1997

Solving LP Problems via Weighted Centers.
SIAM J. Optim., 1996

Potential-reduction methods in mathematical programming.
Math. Program., 1996

Asymptotic Behavior of Interior-Point Methods: A View From Semi-Infinite Programming.
Math. Oper. Res., 1996

A lower bound on the number of iterations of long-step primal-dual linear programming algorithms.
Annals OR, 1996

Infeasible-Interior-Point Primal-Dual Potential-Reduction Algorithms for Linear Programming.
SIAM J. Optim., 1995

A Surface of Analytic Centers and Primal-Dual Infeasible-Interior-Point Algorithms for Linear Programming.
Math. Oper. Res., 1995

Barrier Functions and Interior-Point Algorithms for Linear Programming with Zero-, One-, or Two-Sided Bounds on the Variables.
Math. Oper. Res., 1995

Monotonicity of Primal and Dual Objective Values in Primal-dual Interior-point Algorithms.
SIAM J. Optim., 1994

Interior-point algorithms for semi-infinite programming.
Math. Program., 1994

An O(√nL)-Iteration Homogeneous and Self-Dual Linear Programming Algorithm.
Math. Oper. Res., 1994

Commentary - Theory and Practice for Interior-Point Methods.
INFORMS J. Comput., 1994

Scaling, shifting and weighting in interior-point methods.
Comput. Optim. Appl., 1994

A New Triangulation for Simplicial Algorithms.
SIAM J. Discret. Math., 1993

Combining phase I and phase II in a potential reduction algorithm for linear programming.
Math. Program., 1993

On the complexity of approximating the maximal inscribed ellipsoid for a polytope.
Math. Program., 1993

On Adaptive-Step Primal-Dual Interior-Point Algorithms for Linear Programming.
Math. Oper. Res., 1993

The ellipsoid algorithm using parallel cuts.
Comput. Optim. Appl., 1993

On Combined Phase 1-Phase 2 Projective Methods for Linear Programming.
Algorithmica, 1993

A Low Complexity Interior-Point Algorithm for Linear Programming.
SIAM J. Optim., 1992

An (O√(n) L)-Iteration Large-Step Primal-Dual Affine Algorithm for Linear Programming.
SIAM J. Optim., 1992

On Anstreicher's combined phase I-phase II projective algorithm for linear programming.
Math. Program., 1992

Solving combinatorial optimization problems using Karmarkar's algorithm.
Math. Program., 1992

An O(n<sup>3</sup>L) adaptive path following algorithm for a linear complementarity problem.
Math. Program., 1991

Probabilistic Models for Linear Programming.
Math. Oper. Res., 1991

Containing and Shrinking Ellipsoids in the Path-Following Algorithm.
Math. Program., 1990

A Centered Projective Algorithm for Linear Programming.
Math. Oper. Res., 1990

Convex Resource Allocation Problems on Directed Acyclic Graphs: Duality, Complexity, Special Cases, and Extensions.
Math. Oper. Res., 1990

A Dantzig-Wolfe-Like Variant of Karmarkar's Interior-Point Linear Programming Algorithm.
Oper. Res., 1990

Exploiting special structure in Karmarkar's linear programming algorithm.
Math. Program., 1988

Improved Bounds and Containing Ellipsoids in Karmarkar's Linear Programming Algorithm.
Math. Oper. Res., 1988

Symmetry and Positive Definiteness in Oriented Matroids.
Eur. J. Comb., 1988

Polynomial expected behavior of a pivoting algorithm for linear complementarity and linear programming problems.
Math. Program., 1986

From the editor.
Math. Program., 1986

An Extension of Karmarkar's Algorithm for Linear Programming Using Dual Variables.
Algorithmica, 1986

'Fat' triangulations, or solving certain nonconvex matrix optimization problems.
Math. Program., 1985

The Ellipsoid Method Generates Dual Variables.
Math. Oper. Res., 1985

Linear and quadratic programming in oriented matroids.
J. Comb. Theory, Ser. B, 1985

Large-scale linear programming: Geometry, working bases and factorizations.
Math. Program., 1983

An efficient simplicial algorithm for computing a zero of a convex union of smooth functions.
Math. Program., 1983

On the computational complexity of piecewise-linear homotopy algorithms.
Math. Program., 1982

An implementation of the simplex method for linear programming problems with variable upper bounds.
Math. Program., 1982

Modifications and implementation of the ellipsoid algorithm for linear programming.
Math. Program., 1982

On Minimum Volume Ellipsoids Containing Part of a Given Ellipsoid.
Math. Oper. Res., 1982

Approximate Labelling for Simplicial Algorithms and Two Classes of Special Subsets of the Sphere.
Math. Oper. Res., 1981

A Constructive Proof of Tucker's Combinatorial Lemma.
J. Comb. Theory, Ser. A, 1981

Feature Article - The Ellipsoid Method: A Survey.
Oper. Res., 1981

Exploiting structure in piecewise-linear homotopy algorithms for solving equations.
Math. Program., 1980

A quadratically-convergent fixed-point algorithm for economic equilibria and linearly constrained optimization.
Math. Program., 1980

A Note on Optimally Dissecting Simplices.
Math. Oper. Res., 1980

The Monotonic Bounded Hirsch Conjecture is False for Dimension at Least 4.
Math. Oper. Res., 1980

Traversing Large Pieces of Linearity in Algorithms that Solve Equations by Following Piecewise-Linear Paths.
Math. Oper. Res., 1980

Determining Optimal Use of Resources among Regional Producers under Differing Levels of Cooperation.
Oper. Res., 1980

Piecewise linear paths to minimize convex functions may not be monotonic.
Math. Program., 1979

Bimatrix games - an addendum.
Math. Program., 1978

On the Jacobian of a Function at a Zero Computed by a Fixed Point Algorithm.
Math. Oper. Res., 1978

On triangulations for computing fixed points.
Math. Program., 1976

Orientation in Complementary Pivot Algorithms.
Math. Oper. Res., 1976

Characterizing binary simplical matroids.
Discret. Math., 1976

A generalized complementary pivoting algorithm.
Math. Program., 1974