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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
##### Software:
mftoolbox; SparseMatrix
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