6533b82cfe1ef96bd128f425
RESEARCH PRODUCT
On the accurate determination of nonisolated solutions of nonlinear equations
Wilhelm WernerH. Webersubject
Quadratic growthNumerical AnalysisMathematical analysisComputer Science ApplicationsTheoretical Computer ScienceLocal convergenceComputational MathematicsNonlinear systemsymbols.namesakeComputational Theory and MathematicsSimple (abstract algebra)Jacobian matrix and determinantsymbolsComputer communication networksSoftwareMathematicsdescription
A simple but efficient method to obtain accurate solutions of a system of nonlinear equations with a singular Jacobian at the solution is presented. This is achieved by enlarging the system to a higher dimensional one whose solution in question is isolated. Thus it can be computed e. g. by Newton's method, which is locally at least quadratically convergent and selfcorrecting, so that high accuracy is attainable.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1981-12-01 | Computing |