Ioannis K. Argyros
Personal Home Page
http://www.cameron.edu/~ioannisa/
Articles in Scholarly Journals [Incomplete List]
- On the convergence of the midpoint method
Numerical Algorithms, vol. 47, no. 2, pp. 157–167, 2008 - An inverse-free Newton-Jarratt-type iterative method for solving equations under the gamma condition
Journal of Applied Mathematics and Computing, 2008 - 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 - 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 - On the convergence of the secant method under the gamma condition
Central European Journal of Mathematics, vol. 5, no. 2, pp. 205–214, 2007 -
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 - 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 - On the Convergence of Broyden-Like Methods
Acta Mathematica Sinica, English Series, vol. 23, no. 11, pp. 2087–2096, 2007 - A refined theorem concerning the conditioning of semidefinite programs
Journal of Applied Mathematics and Computing, vol. 24, no. 1-2, pp. 305–312, 2007 - 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 - Local convergence of Newton-like methods for generalized equations
Applied Mathematics and Computation, 2007 - 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 - 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 - A weak Kantorovich existence theorem for the solution of nonlinear equations
Journal of Mathematical Analysis and Applications, 2007 - On the Secant method for solving nonsmooth equations
Journal of Mathematical Analysis and Applications, vol. 322, no. 1, pp. 146–157, 2006 - Relaxing the convergence conditions for Newton-like methods
Journal of Applied Mathematics and Computing, vol. 21, no. 1-2, pp. 119–126, 2006 - 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 - 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 - On a two-point Newton-like method of convergent order two
International Journal of Computer Mathematics, vol. 82, no. 2, pp. 219–233, 2005 - 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 - New sufficient convergence conditions for the secant method
Czechoslovak Mathematical Journal, vol. 55, no. 1, pp. 175–187, 2005 - Concerning the ?terra incognita? between convergence regions of two Newton methods
Nonlinear Analysis, 2005 - 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 - 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 - On the Newton–Kantorovich hypothesis for solving equations
Journal of Computational and Applied Mathematics, vol. 169, no. 2, pp. 315–332, 2004 - 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 - 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 - 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 - On a theorem of L.V. Kantorovich concerning Newton's method
Journal of Computational and Applied Mathematics, 2003 - 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 - Journal of Computational Analysis and Applications, vol. 4, no. 2, pp. 141–154, 2002
- On the radius of convergence of newton's method
International Journal of Computer Mathematics, vol. 77, no. 3, pp. 389–400, 2001 - 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 - 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 - 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 - Czechoslovak Mathematical Journal, vol. 50, no. 3, pp. 603–614, 2000
- Local convergence of inexact Newton-like-iterative methods and applications
Computers & Mathematics with Applications, vol. 39, no. 1-2, pp. 69–75, 2000 - Forcing sequences and inexact Newton iterates in Banach space
Applied Mathematics Letters, vol. 13, no. 1, pp. 77–80, 2000 - Newton methods on Banach spaces with a convergence structure and applications
Computers & Mathematics with Applications, vol. 40, no. 1, pp. 37–48, 2000 - A generalization of Ostrowski's theorem on fixed points
Applied Mathematics Letters, vol. 12, no. 6, pp. 77–79, 1999 - Acta Mathematica Hungarica, vol. 84, no. 3, pp. 209–219, 1999
- Journal of Computational Analysis and Applications, vol. 1, no. 1, pp. 87–104, 1999
- 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 - 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 - Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space
Computing, vol. 63, no. 2, pp. 131–144, 1999 - 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 - On Newton's method under mild differentiability conditions and applications
Applied Mathematics and Computation, vol. 102, no. 2-3, pp. 177–183, 1999 - 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 - 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 - 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 - 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 - 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 - Sufficient conditions for constructing methods faster than Newton's
Applied Mathematics and Computation, vol. 93, no. 2-3, pp. 169–181, 1998 - A new convergence theorem for the Jarratt method in Banach space
Computers & Mathematics with Applications, vol. 36, no. 8, pp. 13–18, 1998 - 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 - The super-Halley method using divided differences
Applied Mathematics Letters, vol. 10, no. 4, pp. 91–95, 1997 - Improved error bounds for Newton-like iterations under Chen-Yamamoto conditions
Applied Mathematics Letters, vol. 10, no. 4, pp. 97–100, 1997 - 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 - Concerning the convergence of inexact Newton methods
Journal of Computational and Applied Mathematics, vol. 79, no. 2, pp. 235–247, 1997 - 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 - 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 - Sufficient convergence conditions for interation schemes modelled by point-to-set mappings
Applied Mathematics Letters, vol. 9, no. 2, pp. 71–73, 1996 - An extension of the mesh independence principle for operator equations in Banach space
Applied Mathematics Letters, vol. 9, no. 3, pp. 1–7, 1996 - 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 - 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 - A unified approach for constructing fast two-step Newton-like methods
Monatshefte f�r Mathematik, vol. 119, no. 1-2, pp. 1–22, 1995 - Some notions of nonstationary multistep iteration processes
Acta Mathematica Hungarica, vol. 64, no. 1, pp. 59–64, 1994 - The midpoint method in Banach spaces and the Ptâk error estimates
Applied Mathematics and Computation, vol. 62, no. 1, pp. 1–15, 1994 - 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 - A local convergence theorem for the super-halley method in a Banach space
Applied Mathematics Letters, vol. 7, no. 5, pp. 49–52, 1994 - On the convergence of modified contractions
Journal of Computational and Applied Mathematics, vol. 55, no. 2, pp. 183–189, 1994 - The Jarratt method in Banach space setting
Journal of Computational and Applied Mathematics, vol. 51, no. 1, pp. 103–106, 1994 - Improved error bounds for Newton's method under generalized Zabrejko-Nguen-type assumptions
Applied Mathematics Letters, vol. 6, no. 3, pp. 75–77, 1993 - The convergence of a Halley-Chebysheff-type method under Newton-Kantorovich hypotheses
Applied Mathematics Letters, vol. 6, no. 5, pp. 71–74, 1993 - A fourth-order nonlinear iterative method in Banach spaces
Applied Mathematics Letters, vol. 6, no. 4, pp. 97–98, 1993 - Robust estimation and testing for general nonlinear regression models
Applied Mathematics and Computation, vol. 57, no. 1, pp. 85–101, 1993 - A note on the Halley method in Banach spaces
Applied Mathematics and Computation, vol. 58, no. 2-3, pp. 215–224, 1993 - 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 - On a mesh-independence principle for operator equations and the secant method
Acta Mathematica Hungarica, vol. 60, no. 1-2, pp. 7–19, 1992 - On the monotone convergence of algorithmic models
Applied Mathematics and Computation, vol. 48, no. 2-3, pp. 167–176, 1992 - Convergence of general iteration schemes
Journal of Mathematical Analysis and Applications, vol. 168, no. 1, pp. 42–62, 1992 - The midpoint method for solving nonlinear operator equations in Banach space
Applied Mathematics Letters, vol. 5, no. 4, pp. 7–9, 1992 - Approximating Newton-like procedures
Applied Mathematics Letters, vol. 5, no. 1, pp. 27–29, 1992 - On the convergence of generalized Newton methods and implicit functions
Journal of Computational and Applied Mathematics, vol. 43, no. 3, pp. 335–342, 1992 - Some generalized projection methods for solving operator equations
Journal of Computational and Applied Mathematics, vol. 39, no. 1, pp. 1–6, 1992 - On the convergence of some projection methods with perturbation
Journal of Computational and Applied Mathematics, vol. 36, no. 2, pp. 255–258, 1991 - 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 - 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 - Error for the modified secant method
BIT, vol. 30, no. 1, pp. 92–100, 1990 - On the solution of equations with nondifferentiable and ptak error estimates
BIT, vol. 30, no. 4, pp. 752–754, 1990 - A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions
Computing, vol. 45, no. 3, pp. 265–268, 1990 - 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 - The secant method in generalized Banach spaces
Applied Mathematics and Computation, vol. 39, no. 2, pp. 111–121, 1990 - Comparison theorems for algorithmic models
Applied Mathematics and Computation, vol. 40, no. 2, pp. 179–185, 1990 - Some projection methods for the approximation of implicit functions
Applied Mathematics Letters, vol. 3, no. 2, pp. 5–7, 1990 - Remarks on quadratic equations in Banach space
International Journal of Mathematics and Mathematical Sciences, vol. 13, no. 3, pp. 611–616, 1990 - 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 - The secant method and fixed points of nonlinear operators
Monatshefte f�r Mathematik, vol. 106, no. 2, pp. 85–94, 1988 - On a class of nonlinear integral equations arising in neutron transport
Aequationes Mathematicae, vol. 36, no. 1, pp. 99–111, 1988 - On the approximation of some nonlinear equations
Aequationes Mathematicae, vol. 32, no. 1, pp. 87–95, 1987 - 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 - 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 - 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