The Path Following Algorithm for Stationary Point Problems on Polyhedral Cones

Dai, Yang; Yamamoto, Y.

doi:10.15807/jorsj.32.286

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Variable Dimension Algorithms1

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1993

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“…Numerous other variable dimension algorithms were developed. Some of the latest are due to Dai, Sekitani and Yamamoto (1992), Dai and Yamamoto (1989), Kamiya and Talman (1990), Talman and Yamamoto (1989). Two unifying approaches have been given, one due to Kojima and Yamamoto (1982), the other due to Preund (1984a,b).…”

Section: Variable Dimension Algorithmsmentioning

confidence: 99%

Continuation and path following

1993

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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.

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