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For a Hermitian matrix A∈Cp×p, given vectors x, y∈Cp and for suitable functions f, the bilinear form y⁎f(A)x is estimated by extending the extrapolation method proposed by C. Brezinski in 1999. Families of one term and two term estimates ef,ν, ν∈C and eˆf,n,k, n,k∈Z, respectively, are derived by extrapolation of the moments of the matrix A. For the positive definite case, bounds for the optimal value...
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