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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.

MSC:
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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