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» Semismooth Matrix-Valued Functions
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SIAMJO
2008
109views more  SIAMJO 2008»
13 years 9 months ago
A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems
This paper extends the regularized smoothing Newton method in vector optimization to symmetric cone optimization, which provide a unified framework for dealing with the nonlinear ...
Lingchen Kong, Jie Sun, Naihua Xiu
SIAMJO
2010
97views more  SIAMJO 2010»
13 years 4 months ago
A Newton-CG Augmented Lagrangian Method for Semidefinite Programming
Abstract. We consider a Newton-CG augmented Lagrangian method for solving semidefinite programming (SDP) problems from the perspective of approximate semismooth Newton methods. In ...
Xin-Yuan Zhao, Defeng Sun, Kim-Chuan Toh
MP
2008
91views more  MP 2008»
13 years 9 months ago
The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming
We analyze the rate of local convergence of the augmented Lagrangian method for nonlinear semidefinite optimization. The presence of the positive semidefinite cone constraint requ...
Defeng Sun, Jie Sun, Liwei Zhang
MCS
2011
Springer
13 years 4 months ago
Locating coalescing singular values of large two-parameter matrices
Consider a matrix valued function A(x) ∈ Rm×n , m ≥ n, smoothly depending on parameters x ∈ Ω ⊂ R2 , where Ω is simply connected and bounded. We consider a technique t...
Luca Dieci, Maria Grazia Gasparo, Alessandra Papin...
ADCM
2005
163views more  ADCM 2005»
13 years 9 months ago
Matrix-valued radial basis functions: stability estimates and applications
Radial basis functions (RBFs) have found important applications in areas such as signal processing, medical imaging, and neural networks since the early 1980's. Several appli...
Svenja Lowitzsch