EXTENSION OF NEWTON AND QUASI-NEWTON METHODS TO SYSTEMS OF PC^1 EQUATIONS - Concepedia

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EXTENSION OF NEWTON AND QUASI-NEWTON METHODS TO SYSTEMS OF PC^1 EQUATIONS

DOI Full Paper Access

103

Citations

0

References

1986

Year

Masakazu Kojima, Susumu Shindo

Journal of the Operations Research Society of Japan

Numerical AnalysisNumerical ComputationEngineeringPerturbation MethodValidated NumericsExtended Quasi-newton MethodPc^1 EquationsNonlinear EquationApproximation TheoryExtended Newton MethodConvergence AnalysisNumerical Method For Partial Differential Equation

Abstract

This paper extends Newton and quasi-Newton methods to systems of PC^1 equations and establishes the quadratic convergence property of the extended Newton method and the Q-superlinear convergence property of the extended quasi-Newton method.