Quasi-Gauss-Newton methods for nonlinear equations are investigated. A Quasi-Gauss-Newton method is proposed. In this method, the Jacobian is modified by a convex combination of Broyden's update and a weighted update. The convergence of the method described by Wang and Tewarson in [1] and ...
Nonlinear Programming ProblemQ-Quadratic ConvergenceScaling Newton's MethodSimilar to [6], we present a Q-quadratically convergent scaling Newton's method for nonlinear programming problems. At each iteration, the multiplier variables and slack variable generated by this algorithm all keep in positive ...
the finite element discretization of the incompressible steady-state navier-stokes equations yields a non-linear problem, due to the convective terms in the momentum equations. several methods may be used to solve this non-linear problem. in this work we
Numerical comparisons are made to show the performance of the presented methods. Furthermore, numerical experiments demonstrate that the logarithmic mean Newton's method outperform the classical Newton's and other variants of Newton's method. MSC: 65H05....
Convergence of iterative methods for nonlinear magnetic field problems The radii of convergence and rates of convergence for iterative algorithms in relation to B - H curves are studied. Several alternatives for computing two ... BB Shyamkumar,ZJ Cendes - 《Magnetics IEEE Transactions on》 被引量...
Newton Methods for Nonlinear Problems Peter Deuflhard Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 35)) 4631 Accesses Abstract As in the preceding chapter, the discussion here is also restricted to systems of n nonlinear equations, say f(x)=0, ...
Optimization Methods & SoftwareY. G. Evtushenko and V. G. Zhadan, Stable barrier-projection and barrier-Newton methods in nonlinear programming, Optim. Methods Softw. 3 (1994), no. 1-3, 237-256.Evtushenko Yu G,Zhadan V G.Stable barrier-projection and barrier-Newton methods in nonlinear...
给出了非线性最小二乘问题的结构p步牛顿法算法,分析了该算法的效率,结果表明,对零残差问题新算法具有q-2阶收敛速率,与牛顿法具有相同的收敛速率,由于新算法只需计算近似海赛矩阵,所以,其效应比牛顿法高,对于非零残差问题算法具有p步p 1阶收敛速率,其效率至少与牛顿法相同。
Many methods for solving minimization problems are variants of Newton method, which requires the specification of the Hessian matrix of second derivatives. Quasi-Newton methods are intended for the situation where the Hessian is expensive or difficult to calculate. Quasi-Newton methods use only first ...
An Inexact Newton Method for Nonlinear Constrained Optimization New York University Background Algorithms and Theory Experiments Conclusion Inexact Newton methodsA Newton method for the nonlinear system of equations F(x) = 0 has the iteration