Geodesic
Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments
Electronic transactions on numerical analysis, Tome 39 (2012), pp. 144-155
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.
Classification : 65F15, 65F30, 65B05, 65C05, 65J10, 15A18, 15A45
Keywords: trace, positive self-adjoint linear operator, symmetric matrix, matrix powers, matrix moments, extrapolation 
@article{ETNA_2012__39__a17,
     author = {Brezinski,  Claude and Fika,  Paraskevi and Mitrouli,  Marilena},
     title = {Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments},
     journal = {Electronic transactions on numerical analysis},
     pages = {144--155},
     year = {2012},
     volume = {39},
     zbl = {1287.65042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2012__39__a17/}
}
TY  - JOUR
AU  - Brezinski,  Claude
AU  - Fika,  Paraskevi
AU  - Mitrouli,  Marilena
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JO  - Electronic transactions on numerical analysis
PY  - 2012
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EP  - 155
VL  - 39
UR  - http://geodesic.mathdoc.fr/item/ETNA_2012__39__a17/
LA  - en
ID  - ETNA_2012__39__a17
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%0 Journal Article
%A Brezinski,  Claude
%A Fika,  Paraskevi
%A Mitrouli,  Marilena
%T Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments
%J Electronic transactions on numerical analysis
%D 2012
%P 144-155
%V 39
%U http://geodesic.mathdoc.fr/item/ETNA_2012__39__a17/
%G en
%F ETNA_2012__39__a17
Brezinski,  Claude; Fika,  Paraskevi; Mitrouli,  Marilena. Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments. Electronic transactions on numerical analysis, Tome 39 (2012), pp. 144-155. http://geodesic.mathdoc.fr/item/ETNA_2012__39__a17/