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In this work, we consider the regularization method for linear ill-posed problems. For operators and approximating subspaces satisfying certain conditions and for a specific form of the regularization parameter, upper and lower bounds are given for the condition number of the corresponding...
This paper calculates an obstruction to the simultaneous stabilization of twon-D plants. This obstruction is topological and lies in the (singular) cohomology of a subset of ℂn that arises naturally in the problem. Given any family ofn-D plants, the vanishing of the corresponding cohomology...
Permanents of matrices with random elements are studied. For random permanents of finitedimensional projection matrices, new limiting results are obtained in different asymptotic schemes. The principal statistical functionals such asU-statistics, symmetric statistics, and others, are represented...
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