Journal of Optimization Theory and Applications

, Volume 82, Issue 2, pp 315–321

An extension of the method of quasilinearization

  • V. Lakshmikantham
Contributed Papers


In this paper, the question of whether it is possible to develop monotone sequences that converge to the solution quadratically, when the function involved in the initial-value problem admits a decomposition into a difference of two convex functions, is answered positively. This extends the method of quasilinearization to a larger class.

Key Words

Extension of quasilinearization quadratic convergence monotone sequences 


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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • V. Lakshmikantham
    • 1
  1. 1.Department of MathematicsFlorida Institute of TechnologyMelbourne

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