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A polynomial path following algorithm for convex programming - MaRDI portal

A polynomial path following algorithm for convex programming (Q2479155)

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A polynomial path following algorithm for convex programming
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    A polynomial path following algorithm for convex programming (English)
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    26 March 2008
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    The authors propose an interior point algorithm for convex nonlinear programming by utilizing the \({\beta}\)-cone neighborhood technique with a path following algorithm and the smoothing Newton method to trace the combined interior homotopy pathway. The global convergence of the algorithm is proved and the polynomial-time complexity of the algorithm is established. Some numerical experimental results are presented.
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    convex nonlinear programming
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    combined homotopy
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    path following algorithm
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    global convergence
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    polynomial time algorithm
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    interior point algorithm
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    smoothing Newton method
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    numerical experimental
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