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Abstract: In [14], a new local minimax method that characterizes a saddle point as a solution
to a local minimax problem is established. Based on the local characterization, a
numerical minimax algorithm is designed for finding multiple saddle points. Numerical
computations of many examples in semilinear elliptic PDE have been successfully
carried out to solve for multiple solutions. One of the important issues remains unsolved,
i.e., the convergence of the numerical minimax method. In this paper,
... (Update)
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BibTeX entry: (Update)
Y. Li and J. Zhou, "Convergence results of a local minimax method for finding multiple critical points", submitted. http://citeseer.ist.psu.edu/408723.html More
@misc{ li-convergence,
author = "Y. Li and J. Zhou",
title = "Convergence results of a local minimax method for finding multiple critical
points",
text = "Y. Li and J. Zhou, Convergence results of a local minimax method for finding
multiple critical points, submitted.",
url = "citeseer.ist.psu.edu/408723.html" }
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[Article contains additional citations not shown here]
Documents on the same site (http://www.math.tamu.edu/~j.zhou/selpubs.html): More
Instability Analysis of Saddle Points by a Local Minimax Method - Zhou
(Correct)
Control of Nonlinear Distributed Parameter Systems - Chen, Lasiecka, (eds.)
(Correct)
A Local Min-Orthogonal Method for Finding Multiple Saddle Points - Zhou
(Correct)
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