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Cone-constrained eigenvalue problems: theory and algorithms

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  • A. Pinto da Costa
  • A. Seeger

Abstract

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Suggested Citation

  • A. Pinto da Costa & A. Seeger, 2010. "Cone-constrained eigenvalue problems: theory and algorithms," Computational Optimization and Applications, Springer, vol. 45(1), pages 25-57, January.
    • Handle: RePEc:spr:coopap:v:45:y:2010:i:1:p:25-57
    DOI: 10.1007/s10589-008-9167-8
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    Citations

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    Cited by:

    1. Chuangchuang Sun, 2023. "A Customized ADMM Approach for Large-Scale Nonconvex Semidefinite Programming," Mathematics, MDPI, vol. 11(21), pages 1-27, October.
    2. Pedro Gajardo & Alberto Seeger, 2012. "Reconstructing a matrix from a partial sampling of Pareto eigenvalues," Computational Optimization and Applications, Springer, vol. 51(3), pages 1119-1135, April.
    3. Brás, Carmo P. & Fukushima, Masao & Iusem, Alfredo N. & Júdice, Joaquim J., 2015. "On the Quadratic Eigenvalue Complementarity Problem over a general convex cone," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 594-608.
    4. Pinto da Costa, A. & Seeger, A. & Simões, F.M.F., 2017. "Complementarity eigenvalue problems for nonlinear matrix pencils," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 134-148.
    5. Bomze, Immanuel M., 2012. "Copositive optimization – Recent developments and applications," European Journal of Operational Research, Elsevier, vol. 216(3), pages 509-520.
    6. Immanuel Bomze & Werner Schachinger & Gabriele Uchida, 2012. "Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization," Journal of Global Optimization, Springer, vol. 52(3), pages 423-445, March.
    7. Carmo P. Brás & Joaquim J. Júdice & Hanif D. Sherali, 2014. "On the Solution of the Inverse Eigenvalue Complementarity Problem," Journal of Optimization Theory and Applications, Springer, vol. 162(1), pages 88-106, July.
    8. Chen Ling & Hongjin He & Liqun Qi, 2016. "Higher-degree eigenvalue complementarity problems for tensors," Computational Optimization and Applications, Springer, vol. 64(1), pages 149-176, May.
    9. Luís Fernandes & Joaquim Júdice & Hanif Sherali & Masao Fukushima, 2014. "On the computation of all eigenvalues for the eigenvalue complementarity problem," Journal of Global Optimization, Springer, vol. 59(2), pages 307-326, July.
    10. Chen Ling & Hongjin He & Liqun Qi, 2016. "On the cone eigenvalue complementarity problem for higher-order tensors," Computational Optimization and Applications, Springer, vol. 63(1), pages 143-168, January.
    11. Fatemeh Abdi & Fatemeh Shakeri, 2017. "A New Descent Method for Symmetric Non-monotone Variational Inequalities with Application to Eigenvalue Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 173(3), pages 923-940, June.
    12. Masao Fukushima & Joaquim Júdice & Welington Oliveira & Valentina Sessa, 2020. "A sequential partial linearization algorithm for the symmetric eigenvalue complementarity problem," Computational Optimization and Applications, Springer, vol. 77(3), pages 711-728, December.
    13. Brás, Carmo P. & Fischer, Andreas & Júdice, Joaquim J. & Schönefeld, Klaus & Seifert, Sarah, 2017. "A block active set algorithm with spectral choice line search for the symmetric eigenvalue complementarity problem," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 36-48.
    14. Niu, Yi-Shuai & Júdice, Joaquim & Le Thi, Hoai An & Pham, Dinh Tao, 2019. "Improved dc programming approaches for solving the quadratic eigenvalue complementarity problem," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 95-113.
    15. Luís Fernandes & Joaquim Júdice & Hanif Sherali & Maria Forjaz, 2014. "On an enumerative algorithm for solving eigenvalue complementarity problems," Computational Optimization and Applications, Springer, vol. 59(1), pages 113-134, October.

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