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Dynamical interpretation of the least-square method and global search optimization with use of an adaptive model

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Mathematical Models in Natural Science and Engineering

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

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Abstract

The least-square method and the global optimization algorithm as an illustration of applying the dynamical system model.

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References

  1. Neimark, Ju.I., Teklina L.G. (1996): A recurrent form for the least-square method over determinate parameters. Reports of Russian Academy of Sciences. 349 (5), 608 - 609 (in Russian).

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  2. Neimark, Ju.I., Teklina L.G. (1995): An extended recurrent form for the least-square method in applying the pattern recognition problem. In:Dynamics of Systems ( Nizhny Novgorod State University after N.I. Lobatchevsky ), 29 - 45 (in Russian).

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  3. Neimark, Ju.I., Teklina L.G. (2001): Recurrent procedures of the least-square method under restrictions on parameters in coding and recognition problems. Pattern recognition and image analysis. 11 (5), 228 - 230.

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  4. Neimark, Ju.I. (1978): Dynamical systems and controllable processes. Nauka, Moscow (in Russian).

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© 2003 Springer-Verlag Berlin Heidelberg

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Neimark, J.I. (2003). Dynamical interpretation of the least-square method and global search optimization with use of an adaptive model. In: Mathematical Models in Natural Science and Engineering. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47878-2_45

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  • DOI: https://doi.org/10.1007/978-3-540-47878-2_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53682-3

  • Online ISBN: 978-3-540-47878-2

  • eBook Packages: Springer Book Archive

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