نتایج جستجو برای: kantorovich constant
تعداد نتایج: 219055 فیلتر نتایج به سال:
The Kantorovich Theorem is a fundamental tool in nonlinear analysis which has been extensively used in classical numerical analysis. In this paper we show that it can also be used in analyzing interior point methods. We obtain optimal bounds for Newton’s method when relied upon in a path following algorithm for linear complementarity problems. Given a point z that approximates a point z(τ ) on ...
• Mathematics Subject Classification: 60E15, 90C40, 49N15 •
The Newton-Kantorovich theorem is extended to validate the convergence of the NewtonJosephy method for solving variational inequality problem. All the convergence conditions can be tested in digital computer. Moreover, the validation delivers automatically the existence domain of the solution and the error estimate. The ideas are illustrated by numerical results.
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