Results 251 to 260 of about 12,484,135 (293)
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A modified Newton–Raphson method
Communications in Numerical Methods in Engineering, 2004AbstractIn this paper, we propose the following modified Newton–Raphson iteration formulation: In case r=1, the obtained formulation reduces to the Newton–Raphson formulation. The present technique circumvent pitfalls of the Newton–Raphson iteration method. Some examples are illustrated. Copyright © 2004 John Wiley & Sons, Ltd.
Ji-Huan He
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The improvements of modified Newton’s method
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jisheng Kou
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Modified Newton-PSS method to solve nonlinear equations
Applied Mathematics Letters, 2018Following the considerations of \textit{M. T. Darvishi} and \textit{A. Barati} [Appl. Math. Comput. 187, No. 2, 630--635 (2007; Zbl 1116.65060)], the authors construct a modified Newton method for solving systems of nonlinear equations with positive definite Jacobian matrices.
Ping-Fei Dai +3 more
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Expanding the applicability of Newton’s method and of a robust modified Newton’s method
Applicationes Mathematicae, 2021Summary: Newton's method cannot be used to approximate a solution of a nonlinear equation when the derivative of the function is singular or almost singular. To overcome this problem a modified Newton's method may be used. The Newton-Kantorovich theorem is used to show its convergence. The convergence domain of this method is small in general.
Argyros, Ioannis K., George, Santhosh
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A Modified Newton’s Method for Unconstrained Minimization
SIAM Journal on Numerical Analysis, 1979Newton’s method for the minimization of a function of several variables presents difficulties in the case where the Hessian matrix is not positive definite. Various modifications are known. Any such modification uses a factorization of the Hessian. This paper suggests using the symmetric decomposition established in an earlier paper by the same authors
Kaniel, Shmuel, Dax, Achiya
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On modified Newton methods with cubic convergence
Applied Mathematics and Computation, 2006Modified Newton methods are discussed for solving nonlinear single real equation \(f(x)=0\). It is shown that the proposed methods have the third-order convergence. Numerical examples are given.
Jisheng Kou, Yitian Li, Xiuhua Wang 0002
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A modified Newton-like method for nonlinear equations
Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song Wu, Haijun Wang
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A modified Newton method for minimization
Journal of Optimization Theory and Applications, 1977Some promising ideas for minimizing a nonlinear function, whose first and second derivatives are given, by a modified Newton method, were introduced by Fiacco and McCormick (Ref. 1). Unfortunately, in developing a method around these ideas, Fiacco and McCormick used a potentially unstable, or even impossible, matrix factorization.
Fletcher, R., Freeman, T. L.
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Comparison of modified newton's methods
Computers & Chemical Engineering, 1980Abstract A comparative evaluation was made of the performance of the Broyden-Schubert method, the finite-difference Newton's method and a hybrid method. Four problems deried from the simulation of a natural gas liquefaction process were used as bench-marks. The results show the hybrid method to be an effective combination of the advantages of the two
R.S.H. Mah, T.D. Lin
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Modified families of Newton, Halley and Chebyshev methods
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vinay Kanwar, Sushil Kumar Tomar
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