References
- Alizadeh , F . 1991 . โ Combinatorial optimization with interior point methods and semidefinite matrices โ . In PhD thesis , Minneapolis, Minnesota , , USA : University of Minnesota .
- de Klerk , E . 1997 . โ Interior point methods for semidefinite programming โ . In PhD Thesis , Delft University of Technology .
- de Klerk , E . 2002 . Aspects of semidefinite programming: interior point algorithms and selected applications, Applied Optimization, Vol. 65 , Dordrecht , , The Netherlands : Kluwer Academic Publishers .
- Gu , G , Mansouri , H , Zangiabadi , M , Bai , YQ and Roos , C . 2010 . Improved full-Newton step O(nL) infeasible interior-point method for linear optimization . J. Optim. Theory Appl. , 145 : 271 โ 288 .
- Halickรก , M , de Klerk , E and Roos , C . 2002 . On the convergence of the central path in semidefinite optimization . SIAM J. Optim. , 12 : 1090 โ 1099 .
- Helmberg , C . โ Semidefinite programming for combinatorial optimization โ . In Konrad-Zuse-Zentrum fรผr Informationstechink Berlin Germany Technical Report 00-34, Takustraฮฒe 7, D-14195 Berlin, Germany, Oktober 2000
- Horn , RA and Charles , RJ . 1991 . Topics in Matrix Analysis , Cambridge , , UK : Cambridge University Press .
- Mansouri , H . 2008 . โ Full-newton step interior-point methods for conic optimization โ . In PhD Thesis , Delft University of Technology .
- Monteiro , C . 1997 . Primal-dual path-following algorithms for semidefinite programming . SIAM J. Optim. , 7 : 663 โ 678 .
- Nesterov , Y and Todd , MJ . 1997 . Self-scaled barriers and interior-point methods for convex programming . Math. Oper. Res. , 22 : 1 โ 42 .
- Peng , J , Roos , C and Terlaky , T . 2002 . โ Self-regularity. A new paradigm for primal-dual interior-point algorithms โ . In Princeton Series in Applied Mathematics , Princeton , NJ : Princeton University Press .
- Potra , FA and Sheng , R . 1998 . A superlinearly convergent primal-dual infeasibleinterior-point algorithm for semidefinite programming . SIAM J. Optim. , 8 : 1007 โ 1028 .
- Roos , C . 2006 . A full-Newton step ๐ช(n) infeasible interior-point algorithm for linear optimization . SIAM J. Optim. , 16 : 1110 โ 1136 .
- Roos , C , Terlaky , T and Vial , J-Ph . 1997 . โ Theory and algorithms for linear optimization. An interior point approach โ . In Wiley-Interscience Series in Discrete Mathematics and Optimization , Chichester : John Wiley & Sons, Ltd. .
- Wolkowicz , H , Saigal , R and Vandenberghe , L . 2000 . โ Handbook of semidefinite programming: Theory, algorithms, and applications โ . In International Series in Operations Research and Management Science , Vol. 27 , Boston , MA : Kluwer Academic Publishers .
- Zhang , Y . 1998 . On extending primal-dual interior-point algorithms from linear programming to semidefinite programming . SIAM J. Optim. , 8 : 365 โ 386 .