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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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The improvements of modified Newton’s method
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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A Modified Newton Method for the Steady-State Analysis
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1985The Newton algorithm is one of the most promising methods for determining the steady-state response of nonlinear circuits. However, the method has ever larger memory storage capacity requirements, as the circuit size increases. State elimination is efficient to reduce the required memory storage.
Makiko Kakizaki, Tsutomu Sugawara
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A Modified Quasi‐Newton Method for Optimization in Simulation
International Transactions in Operational Research, 1997Optimization in Simulation is an important problem often encountered in system behavior investigation; however, the existing methods such as response surface methodology and stochastic approximation method are inefficient. This paper presents a modification of a quasi‐Newton method, in which the parameters are determined from some numerical experiments.
Kao, Chiang +2 more
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The Newton modified barrier method for QP problems
Annals of Operations Research, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aaron Melman, R. Polyak
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A modified secant Newton method for non-linear problems
Computers & Structures, 1982Abstract The paper describes a Modified Secant Newton method (MSN) which is derived from the variable metric method. The present procedure differs from the Secant Newton method (SN) in that in the MSN method the iterative displacement change involves only a scalar multiple of the usual unaccelerated change.
Zhang, L., Owen, D. R. J.
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On the use of directions of negative curvature in a modified newton method
Mathematical Programming, 1979We present a modified Newton method for the unconstrained minimization problem. The modification occurs in non-convex regions where the information contained in the negative eigenvalues of the Hessian is taken into account by performing a line search along a path which is initially tangent to a direction of negative curvature.
Jorge J. Moré, Danny C. Sorensen
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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.
Qingbiao Wu
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Concerning the Convergence of a Modified Newton-Like Method
Zeitschrift für Analysis und ihre Anwendungen, 1999We provide sufficient convergence conditions for a certain Newton-like method to a locally unique solution of a nonlinear equation in a Banach space. We assume that the Fréchet-derivative of the operator involved satisfies in some sense uniformly continuous conditions, which are weaker than earlier ones.
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