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Smooth Convex Approximation to the Maximum Eigenvalue Function

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  • Xin Chen
  • Houduo Qi
  • Liqun Qi
  • Kok-Lay Teo

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  • Xin Chen & Houduo Qi & Liqun Qi & Kok-Lay Teo, 2004. "Smooth Convex Approximation to the Maximum Eigenvalue Function," Journal of Global Optimization, Springer, vol. 30(2), pages 253-270, November.
    • Handle: RePEc:spr:jglopt:v:30:y:2004:i:2:p:253-270
    DOI: 10.1007/s10898-004-8271-2
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    References listed on IDEAS

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    1. Francisco Facchinei, 1998. "Structural and Stability Properties of P 0 Nonlinear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 23(3), pages 735-745, August.
    2. H. D. Qi, 1999. "Tikhonov Regularization Methods for Variational Inequality Problems," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 193-201, July.
    3. A. S. Lewis, 1996. "Derivatives of Spectral Functions," Mathematics of Operations Research, INFORMS, vol. 21(3), pages 576-588, August.
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    Citations

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    Cited by:

    1. Xiaojiao Tong & Liqun Qi & Soon-Yi Wu & Felix Wu, 2012. "A smoothing SQP method for nonlinear programs with stability constraints arising from power systems," Computational Optimization and Applications, Springer, vol. 51(1), pages 175-197, January.
    2. Yong-Jin Liu & Jing Yu, 2023. "A semismooth Newton based dual proximal point algorithm for maximum eigenvalue problem," Computational Optimization and Applications, Springer, vol. 85(2), pages 547-582, June.
    3. Li Yang & Bo Yu & YanXi Li, 2015. "A homotopy method based on penalty function for nonlinear semidefinite programming," Journal of Global Optimization, Springer, vol. 63(1), pages 61-76, September.

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