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F. Alizadeh, J. P. A. Haeberly, and M. L. Overton. Primal-dual inteior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Technical report, 1995.

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Primal-Dual Affine-Scaling Algorithms Fail For.. - Muramatsu, Vanderbei (1997)   (4 citations)  (Correct)

....is not necessarily well defined on the feasible region as observed by Shida, Shindoh and Kojima [33] the linear system (7) 8) and (13) can be inconsistent for some problems. In fact, a specific example was given by Todd, Toh and Tutuncu [35] On the other hand, Alizadeh, Haeberly, and Overton [4] report that the path following algorithm using the AHO direction has empirically better convergence properties than the one using the HRVW KSH M direction. 1.4. The NT Direction. Nesterov and Todd [30, 31] proposed primal dual algorithms for more general convex programming than SDP, which ....

F. Alizadeh, J. P. A. Haeberly, and M. L. Overton. Primal-dual inteior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Technical report, 1995.


Primal-Dual Affine-Scaling Algorithms Fail For.. - Muramatsu, Vanderbei (1998)   (4 citations)  (Correct)

....is not necessarily well defined on the feasible region as observed by Shida, Shindoh and Kojima [33] the linear system (7) 8) and (13) can be inconsistent for some problems. In fact, a specific example was given by Todd, Toh and Tutuncu [35] On the other hand, Alizadeh, Haeberly, and Overton [4] report that the path following algorithm using the AHO direction has empirically better convergence properties than the one using the HRVW KSH M direction. 1.4. The NT Direction. Nesterov and Todd [30, 31] proposed primal dual algorithms for more general convex programming than SDP, which ....

F. Alizadeh, J. P. A. Haeberly, and M. L. Overton. Primal-dual inteior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Technical report, 1995. PRIMAL-DUAL AFFINE-SCALING ALGORITHMS FAIL FOR SEMIDEFINITE PROGRAMMING 23


Primal-Dual Affine-Scaling Algorithms Fail For.. - Muramatsu, Vanderbei (1997)   (4 citations)  (Correct)

....well defined on the feasible region as observed by Shida, Shindoh and Kojima 4 [32] the linear system (6) 7) and (13) can be inconsistent for some problems. In fact, a specific example was given by Todd, Toh and Tutuncu [34] On the other hand, Alizadeh, Haeberly, and Overton [4] report that the path following algorithm using the AHO direction has empirically better convergence properties than the one using the HRVW KSH M direction. 1.4 The NT Direction Nesterov and Todd [29, 30] proposed primal dual algorithms for more general convex programming than SDP, which ....

F. Alizadeh, J. P. A. Haeberly, and M. L. Overton. Primal-dual inteior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Technical report, 1995. -- 23 --


Primal-Dual Affine-Scaling Algorithms Fail For.. - Muramatsu, Vanderbei (1997)   (4 citations)  (Correct)

....is not necessarily well defined on the feasible region as observed by Shida, Shindoh and Kojima [36] the linear system (6) 7) and (12) can be inconsistent for some problems. In fact, a specific example was given by Todd, Toh and Tutuncu [38] On the other hand, Alizadeh, Haeberly, and Overton [4] report that the path following algorithm using the AHO direction has empirically better convergence properties than the one using the HRVW KSH M direction. 1.4. The NT Direction. Nesterov and Todd [31, 32] proposed primal dual algorithms for more general convex programming than SDP, which ....

F. Alizadeh, J. P. A. Haeberly, and M. L. Overton. Primal-dual inteior-point methods for semidefinite programming: Convergence rates, stability and numerical results. Technical report, 1995.

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