Continuation and path following
Continuation and path following
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DOI：
10.1017/s0962492900002336
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发表时间：
1993-01
期刊：
影响因子：
14.2
通讯作者：
E. Allgower;K. Georg
中科院分区：
文献类型：
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作者：
E. Allgower;K. Georg
综述了预测校正方法和分段线性方法路径跟踪的主要思想，以及它们在同伦方法和非线性特征值问题中的应用。进一步的新应用领域，如多项式方程组，线性特征值问题，线性规划的内部方法，参数规划和复分叉进行了调查。还讨论了复杂性问题和可用的软件。
The main ideas of path following by predictor–corrector and piecewise-linear methods, and their application in the direction of homotopy methods and nonlinear eigenvalue problems are reviewed. Further new applications to areas such as polynomial systems of equations, linear eigenvalue problems, interior methods for linear programming, parametric programming and complex bifurcation are surveyed. Complexity issues and available software are also discussed.