Name
Abstract | ||
|---|---|---|
An efficient method for finding an initial approximation to a real root of nonlinear equation f(x)=0 is proposed. The presented approach is based on numerical integration of the transform functions tanhm(f(x)),arctanm(f(x))(m>0) and sgn(f(x)) of sigmoidal type. Combining numerical integration method and rapidly convergent iterative methods, we construct a hybrid method of great efficiency. The introduced sigmoid-like functions are also convenient for the detection of a cluster of zeros or a multiple zero lying in a given interval. The presented numerical examples demonstrate the feasibility and efficiency of the proposed procedures. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.amc.2008.07.017 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Nonlinear equations,Sigmoid functions,Initial approximations,Root solvers,Numerical integration,Hybrid methods,Cluster of zeros | Mathematical optimization,Nonlinear system,Mathematical analysis,Iterative method,Numerical integration,Root-finding algorithm,Hyperbolic function,Numerical analysis,Inverse trigonometric functions,Mathematics,Sigmoid function | Journal |
Volume | Issue | ISSN |
204 | 2 | 0096-3003 |
Citations | PageRank | References |
2 | 0.48 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Miodrag S. Petković | 1 | 156 | 17.83 |
| Beong In Yun | 2 | 86 | 12.55 |