Displaying similar documents to “A homotopy approach to rational covariance extension with degree constraint”

Random perturbation of the projected variable metric method for nonsmooth nonconvex optimization problems with linear constraints

Abdelkrim El Mouatasim, Rachid Ellaia, Eduardo Souza de Cursi (2011)

International Journal of Applied Mathematics and Computer Science

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We present a random perturbation of the projected variable metric method for solving linearly constrained nonsmooth (i.e., nondifferentiable) nonconvex optimization problems, and we establish the convergence to a global minimum for a locally Lipschitz continuous objective function which may be nondifferentiable on a countable set of points. Numerical results show the effectiveness of the proposed approach.

On the irrationality measure of ζ ( 2 )

Georges Rhin, Carlo Viola (1993)

Annales de l'institut Fourier

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We prove that 7. 398 537 is an irrationality measure of ζ ( 2 ) = π 2 / 6 . We employ double integrals of suitable rational functions invariant under a group of birational transformations of ℂ 2 . The numerical results are obtained with the aid of a semi-infinite linear programming method.