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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 Convergence Domains of Newton's and Modified Newton Methods
Numerical Functional Analysis and Optimization, 2005We analyze convergence domains of Newton's and the modified Newton methods for solving operator equations in Banach spaces assuming first that the operator in question is ω-smooth in a ball centere...
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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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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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A Modified Generalized Newton Method for Absolute Value Equations
Journal of Optimization Theory and Applications, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Correction of trust region method with a new modified Newton method
International Journal of Computer Mathematics, 2019One of the iterative techniques for solving unconstrained minimization problems is trust region method. Trust region methods are robust and can be applied to ill-conditioned problems.
Tayebeh Dehghan Niri +2 more
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Application of newton modified barrier method to structural optimization
Computers & Structures, 1993Summary: This paper presents the application of the Newton modified barrier method to obtain a minimum weight structure with constraints on displacements and minimum sizes. The solution to the problem is obtained via minimizing the modified barrier function (MBF) at each step by using the Newton method and updating Lagrange multipliers.
Khot, N. S. +3 more
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