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• W2168441271 abstract "This paper is concerned with Newton-like methods for solving unconstrained minimization problems. We derive a general form and its factorized form of a symmetric positive definite matrix that satisfies the secant condition in order to approximate the Hessian matrix of the objective function. We obtain the bounded deterioration property for such a general form, which is an extention of the bounded deterioration property for secant methods. Applying the general form to the secant method, we obtain a new family that includes the Broyden family, and we show local and q-superlinear convergence of our method. Furthermore, we propose applying the general form to nonlinear least squares problems to obtain a modification of the Gauss-Newton method." @default.
• W2168441271 created "2016-06-24" @default.
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• W2168441271 date "1999-12-01" @default.
• W2168441271 modified "2023-09-27" @default.
• W2168441271 title "A bounded deterioration property of a symmetric positive definite class of Newton-like methods and its application" @default.
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• W2168441271 doi "https://doi.org/10.1016/s0453-4514(00)87108-2" @default.
• W2168441271 hasPublicationYear "1999" @default.
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