A quartic nonlinear optimization method
Neural, Parallel & Scientific Computations
A globally convergent method for finding zeros of smooth functions
Applied Mathematics and Computation
Geometric constructions of iterative functions to solve nonlinear equations
Journal of Computational and Applied Mathematics
Letter to the Editor: Super-attracting periodic orbits for a classical third order method
Journal of Computational and Applied Mathematics
Some variants of Cauchy's method with accelerated fourth-order convergence
Journal of Computational and Applied Mathematics
Letter to the Editor: On the global convergence of Chebyshev's iterative method
Journal of Computational and Applied Mathematics
Dynamics of a new family of iterative processes for quadratic polynomials
Journal of Computational and Applied Mathematics
A new modified King-Werner method for solving nonlinear equations
Computers & Mathematics with Applications
Active actuator fault detection and diagnostics in HVAC systems
BuildSys '12 Proceedings of the Fourth ACM Workshop on Embedded Sensing Systems for Energy-Efficiency in Buildings
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We investigate the global convergence of Euler's and Halley's methods by using their geometric interpretation. A generalization of these methods is also briefly discussed.