Todd, Michael J. Minimum-volume ellipsoids. Theory and algorithms. (English) Zbl 1360.90006 MOS-SIAM Series on Optimization 23. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); Philadelphia, PA: Mathematical Optimization Society (MOS) (ISBN 978-1-61197-437-9/pbk; 978-1-61197-438-6/ebook). xiv, 149 p. (2016). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 90-02 90C25 90C51 52A38 PDFBibTeX XMLCite \textit{M. J. Todd}, Minimum-volume ellipsoids. Theory and algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); Philadelphia, PA: Mathematical Optimization Society (MOS) (2016; Zbl 1360.90006) Full Text: DOI
Nemirovski, Arkadi S.; Todd, Michael J. Interior-point methods for optimization. (English) Zbl 1160.65027 Acta Numerica 17, 191-234 (2008). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C25 90C26 90C51 PDFBibTeX XMLCite \textit{A. S. Nemirovski} and \textit{M. J. Todd}, Acta Numerica 17, 191--234 (2008; Zbl 1160.65027) Full Text: DOI
Todd, M. J. Dual versus primal-dual interior-point methods for linear and conic programming. (English) Zbl 1163.90797 Math. Program. 111, No. 1-2 (B), 301-313 (2008). MSC: 90C51 90C08 PDFBibTeX XMLCite \textit{M. J. Todd}, Math. Program. 111, No. 1--2 (B), 301--313 (2008; Zbl 1163.90797) Full Text: DOI Link
Toh, K. C.; Tütüncü, R. H.; Todd, M. J. Inexact primal-dual path-following algorithms for a special class of convex quadratic SDP and related problems. (English) Zbl 1136.90026 Pac. J. Optim. 3, No. 1, 135-164 (2007). Reviewer: Didier Henrion (Toulouse) (MR2294049) MSC: 90C22 90C51 65K10 PDFBibTeX XMLCite \textit{K. C. Toh} et al., Pac. J. Optim. 3, No. 1, 135--164 (2007; Zbl 1136.90026)
Todd, Michael J. Another derivation of the Karmarkar direction for linear programming. (English) Zbl 1212.90266 Rev. Invest. Oper. 26, No. 2, 124-134 (2005). MSC: 90C05 90C51 PDFBibTeX XMLCite \textit{M. J. Todd}, Rev. Invest. Oper. 26, No. 2, 124--134 (2005; Zbl 1212.90266)
Todd, Michael J. Detecting infeasibility in infeasible-interior-point methods for optimization. (English) Zbl 1142.90499 Cucker, Felipe (ed.) et al., Foundations of computational mathematics: Minneapolis 2002 (FoCM 2002). Selected papers based on the plenary talks presented at FoCM 2002, Minneapolis, MN, USA, August 5–14, 2002. Cambridge: Cambridge University Press (ISBN 0-521-54253-7/pbk). London Mathematical Society Lecture Note Series 312, 157-192 (2004). MSC: 90C51 65K05 90C05 PDFBibTeX XMLCite \textit{M. J. Todd}, Lond. Math. Soc. Lect. Note Ser. 312, 157--192 (2004; Zbl 1142.90499)
Nesterov, Yu. E.; Todd, M. J. On the Riemannian geometry defined by self-concordant barriers and interior-point methods. (English) Zbl 1049.90127 Found. Comput. Math. 2, No. 4, 333-361 (2002). Reviewer: V. Kovalevsky (Minsk) MSC: 90C51 53C22 PDFBibTeX XMLCite \textit{Yu. E. Nesterov} and \textit{M. J. Todd}, Found. Comput. Math. 2, No. 4, 333--361 (2002; Zbl 1049.90127) Full Text: DOI Link
Todd, Michael J. The many facets of linear programming. (English) Zbl 1030.90051 Math. Program. 91, No. 3 (B), 417-436 (2002). MSC: 90C05 90-03 01A60 90C51 PDFBibTeX XMLCite \textit{M. J. Todd}, Math. Program. 91, No. 3 (B), 417--436 (2002; Zbl 1030.90051) Full Text: DOI
Yildirim, E. Alper; Todd, Michael J. An interior-point approach to sensitivity analysis in degenerate linear programs. (English) Zbl 1008.90064 SIAM J. Optim. 12, No. 3, 692-714 (2002). MSC: 90C31 90C51 90C05 PDFBibTeX XMLCite \textit{E. A. Yildirim} and \textit{M. J. Todd}, SIAM J. Optim. 12, No. 3, 692--714 (2002; Zbl 1008.90064) Full Text: DOI
Yıldırım, E. Alper; Todd, Michael J. Sensitivity analysis in linear programming and semidefinite programming using interior-point methods. (English) Zbl 1017.90110 Math. Program. 90, No. 2 (A), 229-261 (2001). Reviewer: Wolfgang W.Breckner (Cluj-Napoca) MSC: 90C31 90C22 90C51 90C05 PDFBibTeX XMLCite \textit{E. A. Yıldırım} and \textit{M. J. Todd}, Math. Program. 90, No. 2 (A), 229--261 (2001; Zbl 1017.90110) Full Text: DOI
Mizuno, Shinji; Todd, Michael J. On two homogeneous self-dual approaches to linear programming and its extensions. (English) Zbl 1098.90530 Math. Program. 89, No. 3 (A), 517-534 (2001). MSC: 90C05 90C22 90C51 PDFBibTeX XMLCite \textit{S. Mizuno} and \textit{M. J. Todd}, Math. Program. 89, No. 3 (A), 517--534 (2001; Zbl 1098.90530) Full Text: DOI
Todd, Michael J.; Tunçel, Levent; Ye, Yinyu Characterizations, bounds, and probabilistic analysis of two complexity measures for linear programming problems. (English) Zbl 0978.90069 Math. Program. 90, No. 1 (A), 59-69 (2001). MSC: 90C05 90C51 68Q25 PDFBibTeX XMLCite \textit{M. J. Todd} et al., Math. Program. 90, No. 1 (A), 59--69 (2001; Zbl 0978.90069) Full Text: DOI
Todd, M. J. A study of search directions in primal-dual interior-point methods for semidefinite programming. (English) Zbl 0971.90109 Optim. Methods Softw. 11-12, No. 1-4, 1-46 (1999). MSC: 90C51 90C22 PDFBibTeX XMLCite \textit{M. J. Todd}, Optim. Methods Softw. 11--12, No. 1--4, 1--46 (1999; Zbl 0971.90109) Full Text: DOI Link
Nesterov, Yu.; Todd, M. J.; Ye, Y. Infeasible-start primal-dual methods and infeasibility detectors for nonlinear programming problems. (English) Zbl 0971.90061 Math. Program. 84, No. 2 (A), 227-267 (1999). MSC: 90C25 90C51 90C60 PDFBibTeX XMLCite \textit{Yu. Nesterov} et al., Math. Program. 84, No. 2 (A), 227--267 (1999; Zbl 0971.90061) Full Text: DOI Link
Mizuno, Shinji; Todd, Michael J.; Ye, Yinyu On adaptive-step primal-dual interior-point algorithms for linear programming. (English) Zbl 0810.90091 Math. Oper. Res. 18, No. 4, 964-981 (1993). Reviewer: Elena De Santis (L’Aquila) MSC: 90C05 90C51 90C60 65K05 PDFBibTeX XMLCite \textit{S. Mizuno} et al., Math. Oper. Res. 18, No. 4, 964--981 (1993; Zbl 0810.90091) Full Text: DOI Link