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Extension of the Method of Quasilinearization and Rapid Convergence

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Abstract

An extension of the method of quasilinearization has been applied to first-order nonlinear initial-value problems (IVP for short). It has been shown that there exist monotone sequences which converge rapidly to the unique solution of IVP.

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Authors and Affiliations

  1. Department of Mathematics, University of Central Florida, Orlando, Florida

    R. N. Mohapatra (Professor) & K. Vajravelu

  2. Department of Applied Mathematics, Florida Institute of Technology, Melbourne, Florida

    Y. Yin (Graduate Student)

Authors
  1. R. N. Mohapatra
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  2. K. Vajravelu
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  3. Y. Yin
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Mohapatra, R.N., Vajravelu, K. & Yin, Y. Extension of the Method of Quasilinearization and Rapid Convergence. Journal of Optimization Theory and Applications 96, 667–682 (1998). https://doi.org/10.1023/A:1022620813436

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  • DOI: https://doi.org/10.1023/A:1022620813436

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