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ORCIDMichael J. Todd
Person information
- affiliation: Cornell University, Ithaca, NY, USA
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Books and Theses
- 2016
[b1]Michael J. Todd:
Minimum volume ellipsoids - theory and algorithms. MOS-SIAM Series on Optimization 23, SIAM 2016, ISBN 978-1-611-97437-9, pp. 1-149
Journal Articles
- 2024
- [j87]Jourdain B. Lamperski
, Robert M. Freund, Michael J. Todd:
An Oblivious Ellipsoid Algorithm for Solving a System of (In)Feasible Linear Inequalities. Math. Oper. Res. 49(1): 204-231 (2024) - 2018
- [j86]Michael J. Todd:
On max-k-sums. Math. Program. 171(1-2): 489-517 (2018) - 2016
- [j85]Michael J. Todd:
Computation, Multiplicity, and Comparative Statics of Cournot Equilibria in Integers. Math. Oper. Res. 41(3): 1125-1134 (2016) - 2014
- [j84]Michael J. Todd:
An Improved Kalai-Kleitman Bound for the Diameter of a Polyhedron. SIAM J. Discret. Math. 28(4): 1944-1947 (2014) - 2013
- [j83]Selin Damla Ahipasaoglu, Michael J. Todd:
A modified Frank-Wolfe algorithm for computing minimum-area enclosing ellipsoidal cylinders: Theory and algorithms. Comput. Geom. 46(5): 494-519 (2013) - [j82]Andrew Philip Bradshaw, David S. Taubman, Michael J. Todd, John S. Magnussen, G. Michael Halmagyi:
Augmented Active Surface Model for the Recovery of Small Structures in CT. IEEE Trans. Image Process. 22(11): 4394-4406 (2013) - 2012
- [j81]Martina Gancarova, Michael J. Todd:
A robust robust optimization result. Oper. Res. Lett. 40(1): 2-5 (2012) - 2009
- [j80]Michael J. Todd:
Largest dual ellipsoids inscribed in dual cones. Math. Program. 117(1-2): 425-434 (2009) - 2008
- [j79]Michael J. Todd:
Dual versus primal-dual interior-point methods for linear and conic programming. Math. Program. 111(1-2): 301-313 (2008) - [j78]Selin Damla Ahipasaoglu, Peng Sun, Michael J. Todd:
Linear convergence of a modified Frank-Wolfe algorithm for computing minimum-volume enclosing ellipsoids. Optim. Methods Softw. 23(1): 5-19 (2008) - 2007
- [j77]Michael J. Todd, E. Alper Yildirim:
On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids. Discret. Appl. Math. 155(13): 1731-1744 (2007) - 2003
- [j76]Ronald A. DeVore, Arieh Iserles, Michael J. Todd:
Editorial. Found. Comput. Math. 3(2): 111 (2003) - [j75]Reha H. Tütüncü, Kim-Chuan Toh, Michael J. Todd:
Solving semidefinite-quadratic-linear programs using SDPT3. Math. Program. 95(2): 189-217 (2003) - 2002
- [j74]Yurii E. Nesterov, Michael J. Todd:
On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods. Found. Comput. Math. 2(4): 333-361 (2002) - [j73]Michael J. Todd:
The many facets of linear programming. Math. Program. 91(3): 417-436 (2002) - [j72]E. Alper Yildirim, Michael J. Todd:
An Interior-Point Approach to Sensitivity Analysis in Degenerate Linear Programs. SIAM J. Optim. 12(3): 692-714 (2002) - 2001
- [j71]Shinji Mizuno, Michael J. Todd:
On two homogeneous self-dual approaches to linear programming and its extensions. Math. Program. 89(3): 517-534 (2001) - [j70]Michael J. Todd, Levent Tunçel, Yinyu Ye:
Characterizations, bounds, and probabilistic analysis of two complexity measures for linear programming problems. Math. Program. 90(1): 59-69 (2001) - [j69]E. Alper Yildirim, Michael J. Todd:
Sensitivity analysis in linear programming and semidefinite programming using interior-point methods. Math. Program. 90(2): 229-261 (2001) - 2000
- [j68]Michael Wagner, Michael J. Todd:
Least-change quasi-Newton updates for equality-constrained optimization. Math. Program. 87(2): 317-350 (2000) - 1999
- [j67]Yurii E. Nesterov, Michael J. Todd, Yinyu Ye:
Infeasible-start primal-dual methods and infeasibility detectors for nonlinear programming problems. Math. Program. 84(2): 227-267 (1999) - 1998
- [j66]Michael J. Todd:
Erratum: Probabilistic Models for Linear Programming. Math. Oper. Res. 23(3): 767-768 (1998) - [j65]Michael J. Todd, Yinyu Ye:
Approximate Farkas lemmas and stopping rules for iterative infeasible-point algorithms for linear programming. Math. Program. 81: 1-21 (1998) - [j64]Yurii E. Nesterov, Michael J. Todd:
Primal-Dual Interior-Point Methods for Self-Scaled Cones. SIAM J. Optim. 8(2): 324-364 (1998) - [j63]Michael J. Todd, Kim-Chuan Toh, Reha H. Tütüncü:
On the Nesterov-Todd Direction in Semidefinite Programming. SIAM J. Optim. 8(3): 769-796 (1998) - 1997
- [j62]Levent Tunçel, Michael J. Todd:
On the Interplay among Entropy, Variable Metrics and Potential Functions in Interior-Point Algorithms. Comput. Optim. Appl. 8(1): 5-19 (1997) - [j61]Yurii E. Nesterov, Michael J. Todd:
Self-Scaled Barriers and Interior-Point Methods for Convex Programming. Math. Oper. Res. 22(1): 1-42 (1997) - 1996
- [j60]Michael J. Todd, Yinyu Ye:
A lower bound on the number of iterations of long-step primal-dual linear programming algorithms. Ann. Oper. Res. 62(1): 233-252 (1996) - [j59]Levent Tunçel, Michael J. Todd:
Asymptotic Behavior of Interior-Point Methods: A View From Semi-Infinite Programming. Math. Oper. Res. 21(2): 354-381 (1996) - [j58]Michael J. Todd:
Potential-reduction methods in mathematical programming. Math. Program. 76: 3-45 (1996) - [j57]Aiping Liao, Michael J. Todd:
Solving LP Problems via Weighted Centers. SIAM J. Optim. 6(4): 933-960 (1996) - 1995
- [j56]Shinji Mizuno, Michael J. Todd, Yinyu Ye:
A Surface of Analytic Centers and Primal-Dual Infeasible-Interior-Point Algorithms for Linear Programming. Math. Oper. Res. 20(1): 135-162 (1995) - [j55]Robert M. Freund, Michael J. Todd:
Barrier Functions and Interior-Point Algorithms for Linear Programming with Zero-, One-, or Two-Sided Bounds on the Variables. Math. Oper. Res. 20(2): 415-440 (1995) - [j54]Shinji Mizuno, Masakazu Kojima, Michael J. Todd:
Infeasible-Interior-Point Primal-Dual Potential-Reduction Algorithms for Linear Programming. SIAM J. Optim. 5(1): 52-67 (1995) - 1994
- [j53]Michael J. Todd:
Scaling, shifting and weighting in interior-point methods. Comput. Optim. Appl. 3(4): 305-315 (1994) - [j52]Michael J. Todd:
Commentary - Theory and Practice for Interior-Point Methods. INFORMS J. Comput. 6(1): 28-31 (1994) - [j51]Yinyu Ye, Michael J. Todd, Shinji Mizuno:
An O(√nL)-Iteration Homogeneous and Self-Dual Linear Programming Algorithm. Math. Oper. Res. 19(1): 53-67 (1994) - [j50]Michael J. Todd:
Interior-point algorithms for semi-infinite programming. Math. Program. 65: 217-245 (1994) - [j49]Shinji Mizuno, Michael J. Todd, Levent Tunçel:
Monotonicity of Primal and Dual Objective Values in Primal-dual Interior-point Algorithms. SIAM J. Optim. 4(3): 613-625 (1994) - 1993
- [j48]Michael J. Todd, Yufei Wang:
On Combined Phase 1-Phase 2 Projective Methods for Linear Programming. Algorithmica 9(1): 64-83 (1993) - [j47]Aiping Liao, Michael J. Todd:
The ellipsoid algorithm using parallel cuts. Comput. Optim. Appl. 2(4): 299-316 (1993) - [j46]Shinji Mizuno, Michael J. Todd, Yinyu Ye:
On Adaptive-Step Primal-Dual Interior-Point Algorithms for Linear Programming. Math. Oper. Res. 18(4): 964-981 (1993) - [j45]Michael J. Todd:
Combining phase I and phase II in a potential reduction algorithm for linear programming. Math. Program. 59: 133-150 (1993) - [j44]Leonid Khachiyan, Michael J. Todd:
On the complexity of approximating the maximal inscribed ellipsoid for a polytope. Math. Program. 61: 137-159 (1993) - [j43]Michael J. Todd, Levent Tunçel:
A New Triangulation for Simplicial Algorithms. SIAM J. Discret. Math. 6(1): 167-180 (1993) - 1992
- [j42]Michael J. Todd:
On Anstreicher's combined phase I-phase II projective algorithm for linear programming. Math. Program. 55: 1-15 (1992) - [j41]John E. Mitchell, Michael J. Todd:
Solving combinatorial optimization problems using Karmarkar's algorithm. Math. Program. 56: 245-284 (1992) - [j40]Michael J. Todd, Jean-Philippe Vial:
Todd's low-complexity algorithm is a predictor-corrector path-following method. Oper. Res. Lett. 11(4): 199-207 (1992) - [j39]Michael J. Todd:
A Low Complexity Interior-Point Algorithm for Linear Programming. SIAM J. Optim. 2(2): 198-209 (1992) - [j38]Clóvis C. Gonzaga, Michael J. Todd:
An (O√(n) L)-Iteration Large-Step Primal-Dual Affine Algorithm for Linear Programming. SIAM J. Optim. 2(3): 349-359 (1992) - 1991
- [j37]Michael J. Todd:
Probabilistic Models for Linear Programming. Math. Oper. Res. 16(4): 671-693 (1991) - [j36]Shinji Mizuno, Michael J. Todd:
An O(n3L) adaptive path following algorithm for a linear complementarity problem. Math. Program. 52: 587-595 (1991) - 1990
- [j35]Michael J. Todd:
A Dantzig-Wolfe-Like Variant of Karmarkar's Interior-Point Linear Programming Algorithm. Oper. Res. 38(6): 1006-1018 (1990) - [j34]Michael J. Todd, Yinyu Ye:
A Centered Projective Algorithm for Linear Programming. Math. Oper. Res. 15(3): 508-529 (1990) - [j33]Clyde L. Monma, Alexander Schrijver, Michael J. Todd, Victor K.-W. Wei:
Convex Resource Allocation Problems on Directed Acyclic Graphs: Duality, Complexity, Special Cases, and Extensions. Math. Oper. Res. 15(4): 736-748 (1990) - [j32]Yinyu Ye, Michael J. Todd:
Containing and Shrinking Ellipsoids in the Path-Following Algorithm. Math. Program. 47: 1-9 (1990) - 1988
- [j31]Walter D. Morris Jr., Michael J. Todd:
Symmetry and Positive Definiteness in Oriented Matroids. Eur. J. Comb. 9(2): 121-129 (1988) - [j30]Michael J. Todd:
Improved Bounds and Containing Ellipsoids in Karmarkar's Linear Programming Algorithm. Math. Oper. Res. 13(4): 650-659 (1988) - [j29]Michael J. Todd:
Exploiting special structure in Karmarkar's linear programming algorithm. Math. Program. 41(1-3): 97-113 (1988) - 1986
- [j28]Michael J. Todd, Bruce P. Burrell:
An Extension of Karmarkar's Algorithm for Linear Programming Using Dual Variables. Algorithmica 1(4): 409-424 (1986) - [j27]Michael J. Todd:
From the editor. Math. Program. 35(1): 1-2 (1986) - [j26]Michael J. Todd:
Polynomial expected behavior of a pivoting algorithm for linear complementarity and linear programming problems. Math. Program. 35(2): 173-192 (1986) - 1985
- [j25]Michael J. Todd:
Linear and quadratic programming in oriented matroids. J. Comb. Theory B 39(2): 105-133 (1985) - [j24]Bruce P. Burrell, Michael J. Todd:
The Ellipsoid Method Generates Dual Variables. Math. Oper. Res. 10(4): 688-700 (1985) - [j23]Michael J. Todd:
'Fat' triangulations, or solving certain nonconvex matrix optimization problems. Math. Program. 31(2): 123-136 (1985) - 1983
- [j22]Samuel A. Awoniyi, Michael J. Todd:
An efficient simplicial algorithm for computing a zero of a convex union of smooth functions. Math. Program. 25(1): 83-108 (1983) - [j21]Michael J. Todd:
Large-scale linear programming: Geometry, working bases and factorizations. Math. Program. 26(1): 1-20 (1983) - 1982
- [j20]Michael J. Todd:
On Minimum Volume Ellipsoids Containing Part of a Given Ellipsoid. Math. Oper. Res. 7(2): 253-261 (1982) - [j19]Donald Goldfarb, Michael J. Todd:
Modifications and implementation of the ellipsoid algorithm for linear programming. Math. Program. 23(1): 1-19 (1982) - [j18]Michael J. Todd:
An implementation of the simplex method for linear programming problems with variable upper bounds. Math. Program. 23(1): 34-49 (1982) - [j17]Michael J. Todd:
On the computational complexity of piecewise-linear homotopy algorithms. Math. Program. 24(1): 216-224 (1982) - 1981
- [j16]Robert G. Bland, Donald Goldfarb, Michael J. Todd:
Feature Article - The Ellipsoid Method: A Survey. Oper. Res. 29(6): 1039-1091 (1981) - [j15]Robert M. Freund, Michael J. Todd:
A Constructive Proof of Tucker's Combinatorial Lemma. J. Comb. Theory A 30(3): 321-325 (1981) - [j14]Michael J. Todd:
Approximate Labelling for Simplicial Algorithms and Two Classes of Special Subsets of the Sphere. Math. Oper. Res. 6(4): 579-592 (1981) - 1980
- [j13]Robert B. Rovinsky, Christine A. Shoemaker, Michael J. Todd:
Determining Optimal Use of Resources among Regional Producers under Differing Levels of Cooperation. Oper. Res. 28(4): 859-866 (1980) - [j12]Michael J. Todd, Robert C. Acar:
A Note on Optimally Dissecting Simplices. Math. Oper. Res. 5(1): 63-66 (1980) - [j11]Michael J. Todd:
Traversing Large Pieces of Linearity in Algorithms that Solve Equations by Following Piecewise-Linear Paths. Math. Oper. Res. 5(2): 242-257 (1980) - [j10]Michael J. Todd:
The Monotonic Bounded Hirsch Conjecture is False for Dimension at Least 4. Math. Oper. Res. 5(4): 599-601 (1980) - [j9]Michael J. Todd:
A quadratically-convergent fixed-point algorithm for economic equilibria and linearly constrained optimization. Math. Program. 18(1): 111-126 (1980) - [j8]Michael J. Todd:
Exploiting structure in piecewise-linear homotopy algorithms for solving equations. Math. Program. 18(1): 233-247 (1980) - 1979
- [j7]Michael J. Todd:
Piecewise linear paths to minimize convex functions may not be monotonic. Math. Program. 17(1): 106-108 (1979) - 1978
- [j6]Michael J. Todd:
On the Jacobian of a Function at a Zero Computed by a Fixed Point Algorithm. Math. Oper. Res. 3(2): 126-132 (1978) - [j5]Michael J. Todd:
Bimatrix games - an addendum. Math. Program. 14(1): 112-115 (1978) - 1976
- [j4]Michael J. Todd:
Characterizing binary simplical matroids. Discret. Math. 16(1): 61-70 (1976) - [j3]Michael J. Todd:
Orientation in Complementary Pivot Algorithms. Math. Oper. Res. 1(1): 54-66 (1976) - [j2]Michael J. Todd:
On triangulations for computing fixed points. Math. Program. 10(1): 322-346 (1976) - 1974
- [j1]Michael J. Todd:
A generalized complementary pivoting algorithm. Math. Program. 6(1): 243-263 (1974)
Conference and Workshop Papers
- 2008
- [c1]Andrew Philip Bradshaw, Michael J. Todd, David S. Taubman:
Active surface modeling at CT resolution limits with micro CT ground truth. ICIP 2008: 1081-1084
Reference Works
- 2004
- [r1]Michael J. Todd:
Mathematical programming. Handbook of Discrete and Computational Geometry, 2nd Ed. 2004: 1015-1036
Informal and Other Publications
- 2010
- [i1]Michael J. Todd:
Proportional Response as Iterated Cobb-Douglas. Equilibrium Computation 2010
Coauthor Index
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