Research Article

Two-Point Iterative Methods for Solving Quadratic Equations and its Applications

Volume: 6 Number: 2 October 31, 2018
Kalyanasundaram Madhu
EN

Two-Point Iterative Methods for Solving Quadratic Equations and its Applications

Abstract


Keywords

Quadratic equation,Two-step iterative methods,Kung-Traub’s conjecture,Efficiency Index,Systems of equations

References

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  2. [2] Babajee, D. K. R. , Madhu, K. and Jayaraman, J., A family of higher order multi-point iterative methods based on power mean for solving nonlinear equations. Afr. Mat., 27(5):865-876, 2016.
  3. [3] Babajee, D.K.R., On the kung-traub conjecture for iterative methods for solving quadratic equations. Algorithms, 9:1, 2016.
  4. [4] Babajee, D.K.R., Madhu, K. and Jayaraman, J., On some improved harmonic mean newton-like methods for solving systems of nonlinear equations. Algorithms, 8:895-909, 2015.
  5. [5] Babajee, D.K.R. and Madhu, K., Comparing two techniques for developing higher order two-point iterative methods for solving quadratic equations. SeMA Journal, Doi: 10.1007/s40324-018-0174-0, 2018.
  6. [6] Buckmire, R., Investigations of nonstandard Mickens-type finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates. Num. Meth. P. Diff. Eqns., 19(2):380-398, 2003.
  7. [7] Chun, C. and Kim, Y.I., Several new third-order iterative methods for solving nonlinear equations. Acta Appl. Math., 109:1053-1063, 2010.
  8. [8] Cordero, A., Hueso, J.L., Martinez, E. and Torregrosa, J.R., Accelerated methods of order 2p for systems of nonlinear equations. J. Comp. Appl. Math., 53(4):485-495, 2010.
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APA
Madhu, K. (2018). Two-Point Iterative Methods for Solving Quadratic Equations and its Applications. Mathematical Sciences and Applications E-Notes, 6(2), 66-80. https://doi.org/10.36753/mathenot.476799
AMA
1.Madhu K. Two-Point Iterative Methods for Solving Quadratic Equations and its Applications. Math. Sci. Appl. E-Notes. 2018;6(2):66-80. doi:10.36753/mathenot.476799
Chicago
Madhu, Kalyanasundaram. 2018. “Two-Point Iterative Methods for Solving Quadratic Equations and Its Applications”. Mathematical Sciences and Applications E-Notes 6 (2): 66-80. https://doi.org/10.36753/mathenot.476799.
EndNote
Madhu K (October 1, 2018) Two-Point Iterative Methods for Solving Quadratic Equations and its Applications. Mathematical Sciences and Applications E-Notes 6 2 66–80.
IEEE
[1]K. Madhu, “Two-Point Iterative Methods for Solving Quadratic Equations and its Applications”, Math. Sci. Appl. E-Notes, vol. 6, no. 2, pp. 66–80, Oct. 2018, doi: 10.36753/mathenot.476799.
ISNAD
Madhu, Kalyanasundaram. “Two-Point Iterative Methods for Solving Quadratic Equations and Its Applications”. Mathematical Sciences and Applications E-Notes 6/2 (October 1, 2018): 66-80. https://doi.org/10.36753/mathenot.476799.
JAMA
1.Madhu K. Two-Point Iterative Methods for Solving Quadratic Equations and its Applications. Math. Sci. Appl. E-Notes. 2018;6:66–80.
MLA
Madhu, Kalyanasundaram. “Two-Point Iterative Methods for Solving Quadratic Equations and Its Applications”. Mathematical Sciences and Applications E-Notes, vol. 6, no. 2, Oct. 2018, pp. 66-80, doi:10.36753/mathenot.476799.
Vancouver
1.Kalyanasundaram Madhu. Two-Point Iterative Methods for Solving Quadratic Equations and its Applications. Math. Sci. Appl. E-Notes. 2018 Oct. 1;6(2):66-80. doi:10.36753/mathenot.476799