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

M. Kojima, Susumu Shindo

1986Journal of the Operations Research Society of Japan

DOI: 10.15807/jorsj.29.352

Résumé tlooto

This paper extends Newton and quasi-Newton methods to systems of PC^1 equations for quadratic convergence.

Résumé

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.

Format de citation

KOJIMA, M.; SHINDO, Susumu. EXTENSION OF NEWTON AND QUASI-NEWTON METHODS TO SYSTEMS OF PC^1 EQUATIONS. Journal of the Operations Research Society of Japan, 1986, 29: 352–375.