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Condition numbers of Hankel matrices for exponential weights
Authors:DS Lubinsky
Institution:The School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA
Abstract:We obtain the rate of growth of the largest eigenvalues and Euclidean condition numbers of the Hankel matrices View the MathML source for a general class of even exponential weights W2=exp(−2Q) on an interval I. As particular examples, we discuss Q(x)=α|x| on I=R, and Q(x)=(d2x2)α on I=−d,d].
Keywords:Condition numbers
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