On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids
暂无分享,去创建一个
[1] Peng Sun,et al. Linear convergence of a modified Frank–Wolfe algorithm for computing minimum-volume enclosing ellipsoids , 2008, Optim. Methods Softw..
[2] Yurii Nesterov,et al. Rounding of convex sets and efficient gradient methods for linear programming problems , 2004, Optim. Methods Softw..
[3] David H. Eberly,et al. 3D Game Engine Design, Second Edition: A Practical Approach to Real-Time Computer Graphics (The Morgan Kaufmann Series in Interactive 3D Technology) , 2006 .
[4] Piyush Kumar,et al. Minimum-Volume Enclosing Ellipsoids and Core Sets , 2005 .
[5] Peng Sun,et al. Computation of Minimum Volume Covering Ellipsoids , 2002, Oper. Res..
[6] Timothy M. Chan. Faster core-set constructions and data stream algorithms in fixed dimensions , 2004, SCG '04.
[7] Pankaj K. Agarwal,et al. Practical Methods for Shape Fitting and Kinetic Data Structures using Coresets , 2004, SCG '04.
[8] Joseph S. B. Mitchell,et al. Approximate minimum enclosing balls in high dimensions using core-sets , 2003, ACM J. Exp. Algorithmics.
[9] Kenneth L. Clarkson,et al. Smaller core-sets for balls , 2003, SODA '03.
[10] Yin Zhang,et al. On Numerical Solution of the Maximum Volume Ellipsoid Problem , 2003, SIAM J. Optim..
[11] Kurt M. Anstreicher,et al. Improved Complexity for Maximum Volume Inscribed Ellipsoids , 2002, SIAM J. Optim..
[12] Piotr Indyk,et al. Approximate clustering via core-sets , 2002, STOC '02.
[13] David H. Eberly,et al. 3D Game Engine Design , 2001 .
[14] Kim-Chuan Toh,et al. Primal-Dual Path-Following Algorithms for Determinant Maximization Problems With Linear Matrix Inequalities , 1999, Comput. Optim. Appl..
[15] Sariel Har-Peled,et al. Efficiently approximating the minimum-volume bounding box of a point set in three dimensions , 1999, SODA '99.
[16] Yin Zhang. An Interior-Point Algorithm for the Maximum-Volume Ellipsoid Problem , 1999 .
[17] A. Nemirovski. On self-concordant convex–concave functions , 1999 .
[18] Stephen P. Boyd,et al. Determinant Maximization with Linear Matrix Inequality Constraints , 1998, SIAM J. Matrix Anal. Appl..
[19] F. Glineur. Pattern separation via ellipsoids and conic programming , 1998 .
[20] Bernd Gärtner,et al. Exact Primitives for Smallest Enclosing Ellipses , 1998, Inf. Process. Lett..
[21] Leonid Khachiyan,et al. Rounding of Polytopes in the Real Number Model of Computation , 1996, Math. Oper. Res..
[22] Bernard Chazelle,et al. On linear-time deterministic algorithms for optimization problems in fixed dimension , 1996, SODA '93.
[23] Leonid Khachiyan,et al. On the complexity of approximating the maximal inscribed ellipsoid for a polytope , 1993, Math. Program..
[24] Ron Shamir,et al. A randomized scheme for speeding up algorithms for linear and convex programming problems with high constraints-to-variables ratio , 1993, Math. Program..
[25] Micha Sharir,et al. A subexponential bound for linear programming , 1992, SCG '92.
[26] Emo Welzl,et al. Smallest enclosing disks (balls and ellipsoids) , 1991, New Results and New Trends in Computer Science.
[27] I. Adler,et al. A randomization scheme for speeding up algorithms for linear and convex quadratic programming proble , 1990 .
[28] J. G. Pierce,et al. Geometric Algorithms and Combinatorial Optimization , 2016 .
[29] Patrice Marcotte,et al. Some comments on Wolfe's ‘away step’ , 1986, Math. Program..
[30] Michael J. Todd,et al. The Ellipsoid Method Generates Dual Variables , 1985, Math. Oper. Res..
[31] Christian Bouville. Bounding ellipsoids for ray-fractal intersection , 1985, SIGGRAPH '85.
[32] Michael J. Todd,et al. Modifications and implementation of the ellipsoid algorithm for linear programming , 1982, Math. Program..
[33] Michael J. Todd. On Minimum Volume Ellipsoids Containing Part of a Given Ellipsoid , 1982, Math. Oper. Res..
[34] D. Titterington,et al. Minimum Covering Ellipses , 1980 .
[35] D. Titterington. Estimation of Correlation Coefficients by Ellipsoidal Trimming , 1978 .
[36] D. Titterington. Optimal design: Some geometrical aspects of D-optimality , 1975 .
[37] P. Gill,et al. Methods for computing and modifying the $LDV$ factors of a matrix , 1975 .
[38] S. Silvey,et al. A geometric approach to optimal design theory , 1973 .
[39] C. Atwood. Sequences Converging to $D$-Optimal Designs of Experiments , 1973 .
[40] W. J. Studden,et al. Theory Of Optimal Experiments , 1972 .
[41] B. V. Shah,et al. Integer and Nonlinear Programming , 1971 .
[42] H. Wynn. The Sequential Generation of $D$-Optimum Experimental Designs , 1970 .
[43] Philip Wolfe,et al. An algorithm for quadratic programming , 1956 .