期刊
MATHEMATICAL PROGRAMMING
卷 88, 期 3, 页码 565-574出版社
SPRINGER-VERLAG
DOI: 10.1007/PL00011386
关键词
nonlinear optimization; interior point methods; global convergence; Newton's method
Using a simple analytical example, we demonstrate that a class of interior point methods for general nonlinear programming, including some current methods, is not globally convergent. It is shown that those algorithms produce limit points that are neither feasible nor stationary points of some measure of the constraint violation, when applied to a well-posed problem.
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