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Extensions of the method of quasilinearization

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Abstract

Recently, the method of quasilinearization has been generalized, extended, and refined (Refs. 1–2). In this paper, various results are obtained which offer monotone sequences that provide lower and upper bounds for the solution and converge quadratically, when the function involved admits a decomposition of the difference of two convex functions.

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References

  1. Lakshmikantham, V., andMalek, S.,Generalized Quasilinearization, Nonlinear World, Vol. 1, pp. 59–70, 1994.

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Authors and Affiliations

  1. Program of Applied Mathematics, Floria Institute of Technology, Melbourne, Florida

    V. Lakshmikantham (Professor)

  2. Department of Mathematics, State University of New York at Geneseo, Geneseo, New York

    S. Leela (Professor)

  3. Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, Florida

    S. Sivasundaram (Associate Professor)

Authors
  1. V. Lakshmikantham
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  2. S. Leela
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  3. S. Sivasundaram
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Communicated by R. E. Kalaba

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Lakshmikantham, V., Leela, S. & Sivasundaram, S. Extensions of the method of quasilinearization. J Optim Theory Appl 87, 379–401 (1995). https://doi.org/10.1007/BF02192570

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  • DOI: https://doi.org/10.1007/BF02192570

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