Abstract

Many applications from a wide variety of disciplines in the natural sciences and also in engineering are reduced to solving of an equation or a system of equations in a correspondingly chosen abstract area. For most of these problems, the solutions are found iterative, because their analytic versions are difficult to find or impossible. This article encompasses efficient, derivatives-free, high-convergence iterative methods. Convergence of two types: Local and Semi-local areas will be investigated under the conditions of the ϕ, ψ-continuity utilizing operators on the method. The new method can also be applied to other methods, using inverses of the linear operator or the matrix.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.