of linear equations and, when the optimal parameters are used, it has the same upper bound for the convergence rate as that of the CG method. In [18], Bai and Guo use the HSS method as the inner iteration and obtain the Newton-HSS method to solve the system of nonlinear equations with...
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables. Solving Systems of Linear Equations in 3 Variables.
Symmetry-breaking for systems of nonlinear elliptic equations 来自 Semantic Scholar 喜欢 0 阅读量: 25 作者:KS Cheng,JA Smoller 摘要: Peer Reviewed http://deepblue.lib.umich.edu/bitstream/2027.42/27826/1/0000232.pdf DOI: 10.1016/0022-0396(89)90087-9 ...
Nonlinear Systems of Equations The graphs of the equations in a nonlinear system of equations can have no point of intersection or one or more points of intersection. The coordinates of each point of intersection represent a solution of the system of equations. When no point of intersection exist...
Systems of Nonlinear Differential Equations 来自 Semantic Scholar 喜欢 0 阅读量: 31 作者:JH Hubbard,BH West 摘要: The general autonomous differential equation on n is $$x\prime = f(x) = \left[ {\begin{array}{*{20}{c}} {{{f}_{1}}(x)} \\ \vdots \\ {{{f}_{n}}(x)} \\...
of Jacobian J(w), we present that the new Levenberg–Marquardt method has at least superlinear convergence when δ∈ (0,1) and quadratic convergence when δ∈ [1,2], respectively, which indicates that our new Levenberg–Marquardt method is performed for the systems of nonlinear equations. Also...
A collocation method based on piecewise polynomials is applied to boundary value problems for mth order systems of nonlinear ordinary differential equations. Optimal a priori estimates are obtained for the error of approximation in the maximum norm and superconvergence is verified at particular points.Pre...
Research from the work of engineers, economist, modelling, industry, computing, and scientist are mostly nonlinear equations in nature. Numerical solution to such systems is widely applied in those areas of mathematics. Over the years, there has been significant theoretical study to develop methods ...
Global smooth solutions to the initial value problem for systems of nonlinear wave equations with multiple propagation speeds will be constructed in the case of small initial data and nonlinearities satisfying the null condition. 关键词: Mathematics - Analysis of PDEs 35L70 DOI: 10.1137/S003614100037...
To save the calculations of Jacobian, a multi-step Levenberg-Marquardt method named Shamanskii-like LM method for systems of nonlinear equations was proposed by Fan (2013). Its convergence properties have been proved by using a trust region technique under the local error bound condition. However...