Ioannis K. Argyros

Personal Home Page

http://www.cameron.edu/~ioannisa/

Articles in Scholarly Journals [Incomplete List]

  1. On the convergence of the midpoint method
    Numerical Algorithms, vol. 47, no. 2, pp. 157–167, 2008
  2. An inverse-free Newton-Jarratt-type iterative method for solving equations under the gamma condition
    Journal of Applied Mathematics and Computing, 2008
  3. A refined semilocal convergence analysis of an algorithm for solving the Ricatti equation
    Journal of Applied Mathematics and Computing, vol. 27, no. 1-2, pp. 339–344, 2008
  4. On a quadratically convergent method using divided differences of order one under the gamma condition
    Central European Journal of Mathematics, vol. 6, no. 2, pp. 262–271, 2008
  5. On the convergence of the secant method under the gamma condition
    Central European Journal of Mathematics, vol. 5, no. 2, pp. 205–214, 2007
  6. Improved convergence and complexity analysis of Newton's method for solving equations
    International Journal of Computer Mathematics, vol. 84, no. 1, pp. 67–73, 2007
  7. On a non-smooth version of Newton's method based on Hölderian assumptions
    International Journal of Computer Mathematics, vol. 84, no. 12, pp. 1747–1756, 2007
  8. On the Convergence of Broyden-Like Methods
    Acta Mathematica Sinica, English Series, vol. 23, no. 11, pp. 2087–2096, 2007
  9. A refined theorem concerning the conditioning of semidefinite programs
    Journal of Applied Mathematics and Computing, vol. 24, no. 1-2, pp. 305–312, 2007
  10. An improved unifying convergence analysis of Newton’s method in Riemannian manifolds
    Journal of Applied Mathematics and Computing, vol. 25, no. 1-2, pp. 345–351, 2007
  11. Local convergence of Newton-like methods for generalized equations
    Applied Mathematics and Computation, 2007
  12. On the convergence of Newton's method for a class of nonsmooth operators
    Journal of Computational and Applied Mathematics, vol. 205, no. 1, pp. 584–593, 2007
  13. A Kantorovich-type analysis for a fast iterative method for solving nonlinear equations
    Journal of Mathematical Analysis and Applications, vol. 332, no. 1, pp. 97–108, 2007
  14. A weak Kantorovich existence theorem for the solution of nonlinear equations
    Journal of Mathematical Analysis and Applications, 2007
  15. On the Secant method for solving nonsmooth equations
    Journal of Mathematical Analysis and Applications, vol. 322, no. 1, pp. 146–157, 2006
  16. Relaxing the convergence conditions for Newton-like methods
    Journal of Applied Mathematics and Computing, vol. 21, no. 1-2, pp. 119–126, 2006
  17. A convergence analysis and applications for two-point Newton-like methods in Banach space under relaxed conditions
    Aequationes mathematicae, vol. 71, no. 1-2, pp. 124–148, 2006
  18. A refined Newton’s mesh independence principle for a class of optimal shape design problems
    Central European Journal of Mathematics, vol. 4, no. 4, pp. 562–572, 2006
  19. On a two-point Newton-like method of convergent order two
    International Journal of Computer Mathematics, vol. 82, no. 2, pp. 219–233, 2005
  20. A new iterative method of asymptotic order 1+v2 for the computation of fixed points
    International Journal of Computer Mathematics, vol. 82, no. 11, pp. 1413–1428, 2005
  21. New sufficient convergence conditions for the secant method
    Czechoslovak Mathematical Journal, vol. 55, no. 1, pp. 175–187, 2005
  22. Concerning the ?terra incognita? between convergence regions of two Newton methods
    Nonlinear Analysis, 2005
  23. A unifying local?semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
    Journal of Mathematical Analysis and Applications, vol. 298, no. 2, pp. 374–397, 2004
  24. On the comparison of a weak variant of the Newton–Kantorovich and Miranda theorems
    Journal of Computational and Applied Mathematics, vol. 166, no. 2, pp. 585–589, 2004
  25. On the Newton–Kantorovich hypothesis for solving equations
    Journal of Computational and Applied Mathematics, vol. 169, no. 2, pp. 315–332, 2004
  26. Improved convergence analysis for the Secant method based on a certain type of recurrence relations
    International Journal of Computer Mathematics, vol. 81, no. 5, pp. 629–637, 2004
  27. An Improved Convergence Analysis and Applications for Newton-Like Methods in Banach Space
    Numerical Functional Analysis and Optimization, vol. 24, no. 7-8, pp. 653–672, 2003
  28. ON THE CONVERGENCE AND APPLICATION OF NEWTON'S METHOD UNDER WEAK HÖLDER CONTINUITY ASSUMPTIONS
    International Journal of Computer Mathematics, vol. 80, no. 6, pp. 767–780, 2003
  29. On a theorem of L.V. Kantorovich concerning Newton's method
    Journal of Computational and Applied Mathematics, 2003
  30. An improved error analysis for Newton-like methods under generalized conditions
    Journal of Computational and Applied Mathematics, vol. 157, no. 1, pp. 169–185, 2003
  31. Journal of Computational Analysis and Applications, vol. 4, no. 2, pp. 141–154, 2002
  32. On the radius of convergence of newton's method
    International Journal of Computer Mathematics, vol. 77, no. 3, pp. 389–400, 2001
  33. A Newton–Kantorovich theorem for equations involving m-Fréchet differentiable operators and applications in radiative transfer
    Journal of Computational and Applied Mathematics, vol. 131, no. 1-2, pp. 149–159, 2001
  34. A new semilocal convergence theorem for Newton's method in banach space using hypotheses on the second Fréchet-derivative
    Journal of Computational and Applied Mathematics, vol. 130, no. 1-2, pp. 369–373, 2001
  35. Semilocal Convergence Theorems for Newton's Method Using Outer Inverses and Hypotheses on the Second Fréchet-Derivative
    Monatshefte f�r Mathematik, vol. 132, no. 3, pp. 183–195, 2001
  36. Czechoslovak Mathematical Journal, vol. 50, no. 3, pp. 603–614, 2000
  37. Local convergence of inexact Newton-like-iterative methods and applications
    Computers & Mathematics with Applications, vol. 39, no. 1-2, pp. 69–75, 2000
  38. Forcing sequences and inexact Newton iterates in Banach space
    Applied Mathematics Letters, vol. 13, no. 1, pp. 77–80, 2000
  39. Newton methods on Banach spaces with a convergence structure and applications
    Computers & Mathematics with Applications, vol. 40, no. 1, pp. 37–48, 2000
  40. A generalization of Ostrowski's theorem on fixed points
    Applied Mathematics Letters, vol. 12, no. 6, pp. 77–79, 1999
  41. Acta Mathematica Hungarica, vol. 84, no. 3, pp. 209–219, 1999
  42. Journal of Computational Analysis and Applications, vol. 1, no. 1, pp. 87–104, 1999
  43. A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fréchet derivative
    Computers & Mathematics with Applications, vol. 37, no. 7, pp. 109–115, 1999
  44. Relations between forcing sequences and inexact newton-like iterates in banach space
    International Journal of Computer Mathematics, vol. 71, no. 2, pp. 235–246, 1999
  45. Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space
    Computing, vol. 63, no. 2, pp. 131–144, 1999
  46. On the Convergence of Newton's Method for Polynomial Equations and Applications in Radiative Transfer
    Monatshefte f�r Mathematik, vol. 127, no. 4, pp. 265–276, 1999
  47. On Newton's method under mild differentiability conditions and applications
    Applied Mathematics and Computation, vol. 102, no. 2-3, pp. 177–183, 1999
  48. Convergence rates for inexact Newton-like methods at singular points and applications
    Applied Mathematics and Computation, vol. 102, no. 2-3, pp. 185–201, 1999
  49. On the convergence of two-step methods generated by point-to-point operators
    Applied Mathematics and Computation, vol. 102, no. 2-3, pp. 165–176, 1999
  50. Results on Newton methods. Part 1: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications
    Applied Mathematics and Computation, vol. 102, no. 2-3, pp. 203–222, 1999
  51. Results on Newton methods. Part II: Perturbed Newton-like methods in generalized Banach spaces
    Applied Mathematics and Computation, vol. 102, no. 2-3, pp. 223–236, 1999
  52. On the convergence of a certain class of iterative procedures under relaxed conditions with applications
    Journal of Computational and Applied Mathematics, vol. 94, no. 1, pp. 13–21, 1998
  53. Sufficient conditions for constructing methods faster than Newton's
    Applied Mathematics and Computation, vol. 93, no. 2-3, pp. 169–181, 1998
  54. A new convergence theorem for the Jarratt method in Banach space
    Computers & Mathematics with Applications, vol. 36, no. 8, pp. 13–18, 1998
  55. On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations
    IMA Journal of Numerical Analysis, vol. 18, no. 1, pp. 37–56, 1998
  56. The super-Halley method using divided differences
    Applied Mathematics Letters, vol. 10, no. 4, pp. 91–95, 1997
  57. Improved error bounds for Newton-like iterations under Chen-Yamamoto conditions
    Applied Mathematics Letters, vol. 10, no. 4, pp. 97–100, 1997
  58. Improving the rate of convergence of Newton methods on Banach spaces with a convergence structure and applications
    Applied Mathematics Letters, vol. 10, no. 6, pp. 21–28, 1997
  59. Concerning the convergence of inexact Newton methods
    Journal of Computational and Applied Mathematics, vol. 79, no. 2, pp. 235–247, 1997
  60. On the convergence of two-step methods generated by point-to-point operators
    Applied Mathematics and Computation, vol. 82, no. 1, pp. 85–96, 1997
  61. A mesh independence principle for inexact Newton-like methods and their discretizations under generalized Lipschitz conditions
    Applied Mathematics and Computation, vol. 87, no. 1, pp. 15–48, 1997
  62. Sufficient convergence conditions for interation schemes modelled by point-to-set mappings
    Applied Mathematics Letters, vol. 9, no. 2, pp. 71–73, 1996
  63. An extension of the mesh independence principle for operator equations in Banach space
    Applied Mathematics Letters, vol. 9, no. 3, pp. 1–7, 1996
  64. Results on Newton methods: Part I. A unified approach for constructing perturbed Newton-like methods in Banach space and their applications
    Applied Mathematics and Computation, vol. 74, no. 2-3, pp. 119–141, 1996
  65. Results on Newton methods: Part II. Perturbed Newton-like methods in generalized Banach spaces
    Applied Mathematics and Computation, vol. 74, no. 2-3, pp. 143–159, 1996
  66. A unified approach for constructing fast two-step Newton-like methods
    Monatshefte f�r Mathematik, vol. 119, no. 1-2, pp. 1–22, 1995
  67. Some notions of nonstationary multistep iteration processes
    Acta Mathematica Hungarica, vol. 64, no. 1, pp. 59–64, 1994
  68. The midpoint method in Banach spaces and the Ptâk error estimates
    Applied Mathematics and Computation, vol. 62, no. 1, pp. 1–15, 1994
  69. A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions
    Applied Mathematics and Computation, vol. 61, no. 1, pp. 25–37, 1994
  70. A local convergence theorem for the super-halley method in a Banach space
    Applied Mathematics Letters, vol. 7, no. 5, pp. 49–52, 1994
  71. On the convergence of modified contractions
    Journal of Computational and Applied Mathematics, vol. 55, no. 2, pp. 183–189, 1994
  72. The Jarratt method in Banach space setting
    Journal of Computational and Applied Mathematics, vol. 51, no. 1, pp. 103–106, 1994
  73. Improved error bounds for Newton's method under generalized Zabrejko-Nguen-type assumptions
    Applied Mathematics Letters, vol. 6, no. 3, pp. 75–77, 1993
  74. The convergence of a Halley-Chebysheff-type method under Newton-Kantorovich hypotheses
    Applied Mathematics Letters, vol. 6, no. 5, pp. 71–74, 1993
  75. A fourth-order nonlinear iterative method in Banach spaces
    Applied Mathematics Letters, vol. 6, no. 4, pp. 97–98, 1993
  76. Robust estimation and testing for general nonlinear regression models
    Applied Mathematics and Computation, vol. 57, no. 1, pp. 85–101, 1993
  77. A note on the Halley method in Banach spaces
    Applied Mathematics and Computation, vol. 58, no. 2-3, pp. 215–224, 1993
  78. Some methods for finding error bounds for Newton-like methods under mild differentiability conditions
    Acta Mathematica Hungarica, vol. 61, no. 3-4, pp. 183–194, 1993
  79. On a mesh-independence principle for operator equations and the secant method
    Acta Mathematica Hungarica, vol. 60, no. 1-2, pp. 7–19, 1992
  80. On the monotone convergence of algorithmic models
    Applied Mathematics and Computation, vol. 48, no. 2-3, pp. 167–176, 1992
  81. Convergence of general iteration schemes
    Journal of Mathematical Analysis and Applications, vol. 168, no. 1, pp. 42–62, 1992
  82. The midpoint method for solving nonlinear operator equations in Banach space
    Applied Mathematics Letters, vol. 5, no. 4, pp. 7–9, 1992
  83. Approximating Newton-like procedures
    Applied Mathematics Letters, vol. 5, no. 1, pp. 27–29, 1992
  84. On the convergence of generalized Newton methods and implicit functions
    Journal of Computational and Applied Mathematics, vol. 43, no. 3, pp. 335–342, 1992
  85. Some generalized projection methods for solving operator equations
    Journal of Computational and Applied Mathematics, vol. 39, no. 1, pp. 1–6, 1992
  86. On the convergence of some projection methods with perturbation
    Journal of Computational and Applied Mathematics, vol. 36, no. 2, pp. 255–258, 1991
  87. On the approximate solutions of non-linear functional equations under mild differentiability conditions
    Acta Mathematica Hungarica, vol. 58, no. 1-2, pp. 3–7, 1991
  88. On the improvement of the speed of convergence of some iterations converging to solutions of quadratic equations
    Acta Mathematica Hungarica, vol. 57, no. 3-4, pp. 245–252, 1991
  89. Error for the modified secant method
    BIT, vol. 30, no. 1, pp. 92–100, 1990
  90. On the solution of equations with nondifferentiable and ptak error estimates
    BIT, vol. 30, no. 4, pp. 752–754, 1990
  91. A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions
    Computing, vol. 45, no. 3, pp. 265–268, 1990
  92. The Newton?Kantorovich method under mild differentiability conditions and the Pt?k error estimates
    Monatshefte f�r Mathematik, vol. 109, no. 3, pp. 175–193, 1990
  93. The secant method in generalized Banach spaces
    Applied Mathematics and Computation, vol. 39, no. 2, pp. 111–121, 1990
  94. Comparison theorems for algorithmic models
    Applied Mathematics and Computation, vol. 40, no. 2, pp. 179–185, 1990
  95. Some projection methods for the approximation of implicit functions
    Applied Mathematics Letters, vol. 3, no. 2, pp. 5–7, 1990
  96. Remarks on quadratic equations in Banach space
    International Journal of Mathematics and Mathematical Sciences, vol. 13, no. 3, pp. 611–616, 1990
  97. On the number of solutions of some integral equations arising in radiative transfer
    International Journal of Mathematics and Mathematical Sciences, vol. 12, no. 2, pp. 297–304, 1989
  98. The secant method and fixed points of nonlinear operators
    Monatshefte f�r Mathematik, vol. 106, no. 2, pp. 85–94, 1988
  99. On a class of nonlinear integral equations arising in neutron transport
    Aequationes Mathematicae, vol. 36, no. 1, pp. 99–111, 1988
  100. On the approximation of some nonlinear equations
    Aequationes Mathematicae, vol. 32, no. 1, pp. 87–95, 1987
  101. On polynomial equations in Banach space, perturbation techniques and applications
    International Journal of Mathematics and Mathematical Sciences, vol. 10, no. 1, pp. 69–78, 1987
  102. Iterations converging to distinct solutions of some nonlinear operator equations in Banach space
    International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 3, pp. 583–587, 1986
  103. On the cardinality of solutions of multilinear differential equations and applications
    International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 4, pp. 757–766, 1986