This software is designed to solve a convex quadratic semide¯nite programming(QSDP) problem, possibly with a log-determinant term. It employs an infeasible primal-dual predictor-corrector path-following method using the Nesterov-Todd search direction. The basic code is written in Matlab, but key subroutines in Care incorporated via Mex interface. It also uses functions in the software for linear semide¯nite programming, SDPT3-3.1. Here we brie°y describe how to install and run QSDP-0. We should emphasize that the current version is an experimental software and it is not intended to be a general purpose solver. Some numerical results are presented to illustrate the performance of the software on QSDPs arising from the nearest correlation matrix and the Euclidean distance matrix completion problems.

References in zbMATH (referenced in 34 articles , 1 standard article )

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  1. Wang, Chengjing: On how to solve large-scale log-determinant optimization problems (2016)
  2. Kheirfam, B.; Hasani, F.: A large-update feasible interior-point algorithm for convex quadratic semi-definite optimization based on a new kernel function (2013)
  3. Wang, G.Q.; Yu, C.J.; Teo, K.L.: A new full Nesterov-Todd step feasible interior-point method for convex quadratic symmetric cone optimization (2013)
  4. Jiang, Kaifeng; Sun, Defeng; Toh, Kim-Chuan: An inexact accelerated proximal gradient method for large scale linearly constrained convex SDP (2012)
  5. Lin, Huiling: An inexact spectral bundle method for convex quadratic semidefinite programming (2012)
  6. Malick, Jér^ome; Roupin, Frédéric: Solving $k$-cluster problems to optimality with semidefinite programming (2012)
  7. He, Bingsheng; Xu, Minghua; Yuan, Xiaoming: Solving large-scale least squares semidefinite programming by alternating direction methods (2011)
  8. Li, Lu; Toh, Kim-Chuan: A polynomial-time inexact primal-dual infeasible path-following algorithm for convex quadratic SDP (2011)
  9. Li, Qingna; Qi, Hou-Duo: A sequential semismooth Newton method for the nearest low-rank correlation matrix problem (2011)
  10. Li, Qingna; Qi, Houduo; Xiu, Naihua: Block relaxation and majorization methods for the nearest correlation matrix with factor structure (2011)
  11. Qi, Houduo; Sun, Defeng: An augmented Lagrangian dual approach for the $H$-weighted nearest correlation matrix problem (2011)
  12. Wang, Guoqiang; Zhu, Detong: A unified kernel function approach to primal-dual interior-point algorithms for convex quadratic SDO (2011)
  13. Wang, Yingnan; Xiu, Naihua; Luo, Ziyan: A regularized strong duality for nonsymmetric semidefinite least squares problem (2011)
  14. Bai, Y.Q.; Wang, F.Y.; Luo, X.W.: A polynomial-time interior-point algorithm for convex quadratic semidefinite optimization (2010)
  15. Borsdorf, Rüdiger; Higham, Nicholas J.: A preconditioned Newton algorithm for the nearest correlation matrix (2010)
  16. Gao, Yan; Sun, Defeng: Calibrating least squares semidefinite programming with equality and inequality constraints (2010)
  17. Li, Lu; Toh, Kim-Chuan: A polynomial-time inexact interior-point method for convex quadratic symmetric cone programming (2010)
  18. Li, Lu; Toh, Kim-Chuan: An inexact interior point method for $L_1$-regularized sparse covariance selection (2010)
  19. Li, Qingna; Li, Donghui; Qi, Houduo: Newton’s method for computing the nearest correlation matrix with a simple upper bound (2010)
  20. Qi, Houduo; Sun, Defeng: Correlation stress testing for value-at-risk: an unconstrained convex optimization approach (2010)

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