A new sixth-order Jarratt-type iterative method for systems of nonlinear equations
Saima Yaseen, Fiza Zafar
Abstract
Abstract Many real-life problems using mathematical modeling can be reduced to scalar and system of nonlinear equations. In this paper, we develop a family of three-step sixth-order method for solving nonlinear equations by employing weight functions in the second and third step of the scheme. Furthermore, we extend this family to the multidimensional case preserving the same order of convergence. Moreover, we have made numerical comparisons with the efficient methods of this domain to verify the suitability of our method.
Topics & Concepts
MathematicsNonlinear systemScalar (mathematics)Applied mathematicsConvergence (economics)Type (biology)Domain (mathematical analysis)Scheme (mathematics)Order (exchange)Rate of convergenceIterative methodMathematical optimizationMathematical analysisComputer scienceGeometryPhysicsQuantum mechanicsChannel (broadcasting)EconomicsFinanceEcologyEconomic growthComputer networkBiologyIterative Methods for Nonlinear EquationsAdvanced Optimization Algorithms ResearchMatrix Theory and Algorithms