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Second Derivative-Free Two-Step Extrapolated Newton’s Method

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Harmony Search and Nature Inspired Optimization Algorithms

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 741))

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Abstract

In this paper, the two-step-extrapolated Newton’s method (TENM) developed by Vatti et al. is considered and this method is further studied without the presence of second derivative. It is shown that this method has same efficiency index as that of TENM. Numerical examples show that the new method can compete with the other methods.

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References

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Author information

Authors and Affiliations

  1. Department of Engineering Mathematics, Andhra University, Visakhapatnam, India

    V. B. Kumar Vatti & Ramadevi Sri

  2. Department of Mathematics, Gitam University, Visakhapatnam, India

    M. S. Kumar Mylapalli

Authors
  1. V. B. Kumar Vatti
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  2. Ramadevi Sri
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  3. M. S. Kumar Mylapalli
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Corresponding author

Correspondence to M. S. Kumar Mylapalli .

Editor information

Editors and Affiliations

  1. School of Engineering and Technology, BML Munjal University, Gurgaon, Haryana, India

    Neha Yadav

  2. Department of Sciences and Humanities, National Institute of Technology, Srinagar, Uttarakhand, India

    Anupam Yadav

  3. Department of Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

  4. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  5. School of Civil, Environmental and Architectural Engineering, Korea University, Seoul, Korea (Republic of)

    Joong Hoon Kim

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Kumar Vatti, V.B., Sri, R., Kumar Mylapalli, M.S. (2019). Second Derivative-Free Two-Step Extrapolated Newton’s Method. In: Yadav, N., Yadav, A., Bansal, J., Deep, K., Kim, J. (eds) Harmony Search and Nature Inspired Optimization Algorithms. Advances in Intelligent Systems and Computing, vol 741. Springer, Singapore. https://doi.org/10.1007/978-981-13-0761-4_101

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