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MP
2007
89views more  MP 2007»
13 years 11 months ago
Sums of random symmetric matrices and quadratic optimization under orthogonality constraints
Let Bi be deterministic real symmetric m × m matrices, and ξi be independent random scalars with zero mean and “of order of one” (e.g., ξi ∼ N(0, 1)). We are interested to...
Arkadi Nemirovski
CORR
2006
Springer
102views Education» more  CORR 2006»
13 years 11 months ago
On the reduction of a random basis
For p n, let b (n) 1 , . . . , b (n) p be independent random vectors in Rn with the same distribution invariant by rotation and without mass at the origin. Almost surely these vec...
Ali Akhavi, Jean-François Marckert, Alain R...