Liu Hailin
Abstract
In this paper , we provide a new method through modifying the iterative matrix of Newton method . For this modification, we prove general local convergence results .The new method improves the condition number of the Hessian. The numeric results shows that the new method avoid the singular phenomenon.
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In this paper , we provide a new method through modifying the iterative matrix of Newton method . For this modification, we prove general local convergence results .The new method improves the condition number of the Hessian. The numeric results shows that the new method avoid the singular phenomenon.
Key concepts: Hessian matrix, Convergence (economics), Newton's method, Local convergence, Mathematical optimization, Iterative method, Quasi-Newton method, Newton's method in optimization