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SIAMJO
2000
101views more  SIAMJO 2000»
13 years 9 months ago
An Efficient Algorithm for Minimizing a Sum of p-Norms
We study the problem of minimizing a sum of p-norms where p is a fixed real number in the interval [1, ]. Several practical algorithms have been proposed to solve this problem. How...
Guoliang Xue, Yinyu Ye
SIAMJO
2002
122views more  SIAMJO 2002»
13 years 9 months ago
Robust Filtering via Semidefinite Programming with Applications to Target Tracking
In this paper we propose a novel finite-horizon, discrete-time, time-varying filtering method based on the robust semidefinite programming (SDP) technique. The proposed method prov...
Lingjie Li, Zhi-Quan Luo, Timothy N. Davidson, Kon...
SIAMJO
2002
159views more  SIAMJO 2002»
13 years 9 months ago
Locating the Least 2-Norm Solution of Linear Programs via a Path-Following Method
A linear program has a unique least 2-norm solution provided that the linear program has a solution. To locate this solution, most of the existing methods were devised to solve cer...
Yun-Bin Zhao, Duan Li
SIAMJO
2002
89views more  SIAMJO 2002»
13 years 9 months ago
A Probability-One Homotopy Algorithm for Nonsmooth Equations and Mixed Complementarity Problems
A probability-one homotopy algorithm for solving nonsmooth equations is described. This algorithm is able to solve problems involving highly nonlinear equations, where the norm of ...
Stephen C. Billups, Layne T. Watson
SIAMJO
2002
77views more  SIAMJO 2002»
13 years 9 months ago
Modifying SQP for Degenerate Problems
Most local convergence analyses of the sequential quadratic programming (SQP) algorithm for nonlinear programming make strong assumptions about the solution, namely, that the activ...
Stephen J. Wright