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Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments. (English) Zbl 1287.65042
Summary: Let \(A\) be a positive self-adjoint linear operator on a real separable Hilbert space \(H\). Our aim is to build estimates of the trace of \(A^q\), for \(q \in \mathbb R\). These estimates are obtained by extrapolation of the moments of \(A\).
Applications of the matrix case are discussed, and numerical results are given.

65J10 Numerical solutions to equations with linear operators (do not use 65Fxx)
47A50 Equations and inequalities involving linear operators, with vector unknowns
15A15 Determinants, permanents, traces, other special matrix functions
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