A New Approach to Find Non-simple Zero’s of Functions

Authors

  • Mohsen Jamali Islamic Azad University, Bardaskan Branch, Department of Mathematics, Bardaskan, Iran
  • Mehdi Delkhosh Islamic Azad University, Bardaskan Branch, Department of Mathematics, Bardaskan, Iran

DOI:

https://doi.org/10.37591/rrdms.v1i1.19

Keywords:

Convex function, zero of even multiplicity of function, Newton-Raphson method, relative extrema of function

Abstract

Finding acceptable approximation of zeros of even multiplicity of functions by the prevalent method of numerical analysis is impossible or difficult. In this paper we introduce the Intersecting Lines Method and its modified version applying to approximate zeros of even multiplicity of functions. We apply this method to approximate relative extremum points of differentiable functions.

Author Biography

  • Mohsen Jamali, Islamic Azad University, Bardaskan Branch, Department of Mathematics, Bardaskan, Iran

    Islamic Azad University, Bardaskan Branch
    Tel: 05327231070
    Fax: 05327226204
    Mobil: 09158321613
    Email: [email protected]


    Educational Background

    • 2012-2013 o M.Sc., Computer Science, Damghan University
    • 2011-2012 o B.Sc, Computer Engineering, Payam-e-Noor University of Kashmar
    • 2003-2005 o M.Sc., Applied Mathematics (Differential Equations), Shahid Bahonar University of Kerman
    • 1998-2003 o B.Sc, AppliedMathematics, Shahid Bahonar University of Kerman

    M.Sc. Thesis - Computer Science
    Title o A Numerical Approach to Solve Fractional Differential Equations Based on Quantum Computing
    Supervisor o Dr. Morteza Garshasbi

    M.Sc. Thesis - Applied Mathematics
    Title o Derivatives and Integrals of Fractional Order and Fractals
    Supervisor o Prof. Seyyed Hossein Javadpoor


    Work Experience and jobs

    • May 2007-Now o Academic staff in Islamic Azad University, Bardaskan Branch
    • Oct 2006-Now o Head of Department of Computer in Islamic Azad University, Bardaskan Branch
    • Oct 2007-Now o Council member, Council Special Committee and the Disciplinary Committee in Islamic Azad University, Bardaskan Branch
    • Mar 2010-Now o Head of Young Researchers Club and elites in Islamic Azad University, Bardaskan
      Branch
    • Oct 2008- Oct 2009 o Lesson planning for Computer Science in Payam-e-Noor University of Kashmar
    • Oct 2006-Now o Member and Head of Group Programming in Arya Hesab Torshiz Co.
    • Jun 2012-Now o Member and Vice Chairman in Idea Gostar Shargh Co.
    • Jun 2012-Now o Member and Substitute inspector in Teaching unions Khorasan Razavi Co.
    • Oct 2006-Now o Programmer and Analyzer Software for Accounting, Finance and Warehousing, "Accounting Arya" - "Arya Warehousing" - "Management Free Schools" - "Software Project Briefing"


    Research Interests

    • PDE; ODE; Numerical solution of Differential Equations; Solving and survey special Functions, such as: Bessel's equation, Green's function, Sturm-Liouville Differential Equations; Linear programming
    • Quantum Computing, Computing Theory, Coding theory , Complexity

References

Ralston A. and Rabinowitz P., First

Course in Numerical Analysis, McGraw-

Hill, New York, 1978.

TRAUB J.F., Iterative Methods for the

Solution of Equations, Prentice Hall,

Englewood Cliffs, N.J., 1964.

Stoer J., and Bulirsch R., Introduction to

Numerical Analysis, Third Edition,

Springer, New York, 2002.

Brent R.P., Algorithms for Minimization

without Derivatives, Prentice Hall,

Englewood Cliffs, N.J., 1973.

Yakoubsohn J.C., Numerical analysis of a

bisection-exclusion method to find zeros

of univariate analytic functions, Journal of

Complexity 2005, Vol. 21, Issue 5, p. 652–

Segura J., the Zeros of Special Functions from a Fixed Point Method, SIAM J. Numer. Anal. 2002, Vol. 40(1), pp. 114–133.

Meylan M.H., Gross L., A parallel algorithm to find the zeros of a complex analytic function, ANZIAM Journal 2003, 44(E), p. E236–E254.

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Published

2014-01-30

Issue

Vol. 1 No. 1 (2014)

Section

Research Articles

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