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Solving Nonlinear Equation Systems via a Steffensen-Type Higher-Order Method with Memory.
Solving Nonlinear Equation Systems via a Steffensen-Type Higher-Order Method with Memory.
- Source :
- Mathematics (2227-7390); Dec2024, Vol. 12 Issue 23, p3655, 14p
- Publication Year :
- 2024
-
Abstract
- This article introduces a multi-step solver for sets of nonlinear equations. To achieve this, we consider and develop a multi-step Steffensen-type method without memory, which does not require evaluations of the Fréchet derivatives, and subsequently extend it to a method with memory. The resulting order is 5 + 2 , utilizing the identical number of functional evaluations as the solver without memory, thereby demonstrating a higher computational index of efficiency. Finally, we illustrate the advantages of the proposed scheme with memory through various test problems. [ABSTRACT FROM AUTHOR]
- Subjects :
- NONLINEAR equations
NONLINEAR systems
MEMORY
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 23
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 181656284
- Full Text :
- https://doi.org/10.3390/math12233655