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98
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FOCM
2007
48views more  FOCM 2007»
15 years 4 days ago
Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace
Abstract. We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in Rn and related problems of complex integration and opt...
Alexander I. Barvinok
94
Voted
FOCM
2007
94views more  FOCM 2007»
15 years 4 days ago
Trust-Region Methods on Riemannian Manifolds
A general scheme for trust-region methods on Riemannian manifolds is proposed and analyzed. Among the various approaches available to (approximately) solve the trust-region subpro...
Pierre-Antoine Absil, C. G. Baker, Kyle A. Galliva...
81
Voted
FOCM
2007
55views more  FOCM 2007»
15 years 4 days ago
On Location and Approximation of Clusters of Zeros: Case of Embedding Dimension One
Isolated multiple zeros or clusters of zeros of analytic maps with several variables are known to be difficult to locate and approximate. This article is in the vein of the α-theo...
Marc Giusti, Grégoire Lecerf, Bruno Salvy, ...