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Nonlinear Rescaling: Theory and Methods

In: Introduction to Continuous Optimization

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  • Roman A. Polyak

    (School of Mathematical Sciences)

Abstract

The first result on Nonlinear Rescaling (NR) theory and methods were obtained in the early 1980s. The purpose was finding an alternative for SUMT free from its well-known shortcomings (see Chapter 5 ). Roughly speaking, for inequality-constrained optimization, the NR is to SUMT as AL is to Courant’s penalty method for ECO. Unfortunately, the NR results were published almost 10 years later.

Suggested Citation

  • Roman A. Polyak, 2021. "Nonlinear Rescaling: Theory and Methods," Springer Optimization and Its Applications, in: Introduction to Continuous Optimization, chapter 0, pages 281-343, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-68713-7_7
    DOI: 10.1007/978-3-030-68713-7_7
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