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SemiAcademic Problems

In: Introduction to Nonsmooth Optimization

Author

Listed:
  • Adil Bagirov

    (School of Information Technology and Mathematical Sciences, University of Ballarat)

  • Napsu Karmitsa

    (University of Turku)

  • Marko M. Mäkelä

    (University of Turku)

Abstract

Using certain important methodologies for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure. The examples of this kind of methodological nonsmoothness are Lagrange relaxation, different decompositions, dual formulations, and exact penalty functions. In this chapter, we briefly describe some of these formulations. In addition, we represent the maximum eigenvalue problem that is an important part of many engineering design problems and graph theoretical applications. The interested reader may find more details of each problem class in the Notes and References at the end of Part II.

Suggested Citation

  • Adil Bagirov & Napsu Karmitsa & Marko M. Mäkelä, 2014. "SemiAcademic Problems," Springer Books, in: Introduction to Nonsmooth Optimization, edition 127, chapter 0, pages 241-245, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-08114-4_8
    DOI: 10.1007/978-3-319-08114-4_8
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