Geodesic
Polynomial preconditioning for the generank problem
Electronic transactions on numerical analysis, Tome 41 (2014), pp. 179-189
Identifying key genes involved in a particular disease is a very important problem in biomedical research. The GeneRank model is based on the PageRank algorithm and shares many of its mathematical properties. The model brings together gene expression information with a network structure and ranks genes based on the results of microarray experiments combined with gene expression information, for example, from gene annotations (GO). In this study, we present a polynomial preconditioned conjugate gradient algorithm to solve the GeneRank problem and study its properties. Some numerical experiments are given to show the effectiveness of the suggested preconditioner.
Classification : 65F10, 65F50, 92D20
Keywords: gene network, gene ontologies, conjugate gradient, Chebyshev polynomial, preconditioner, M-matrix 
@article{ETNA_2014__41__a14,
     author = {Salkuyeh,  Davod Khojasteh and Edalatpour,  Vahid and Hezari,  Davod},
     title = {Polynomial preconditioning for the generank problem},
     journal = {Electronic transactions on numerical analysis},
     pages = {179--189},
     year = {2014},
     volume = {41},
     zbl = {1298.92077},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2014__41__a14/}
}
TY  - JOUR
AU  - Salkuyeh,  Davod Khojasteh
AU  - Edalatpour,  Vahid
AU  - Hezari,  Davod
TI  - Polynomial preconditioning for the generank problem
JO  - Electronic transactions on numerical analysis
PY  - 2014
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EP  - 189
VL  - 41
UR  - http://geodesic.mathdoc.fr/item/ETNA_2014__41__a14/
LA  - en
ID  - ETNA_2014__41__a14
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%A Edalatpour,  Vahid
%A Hezari,  Davod
%T Polynomial preconditioning for the generank problem
%J Electronic transactions on numerical analysis
%D 2014
%P 179-189
%V 41
%U http://geodesic.mathdoc.fr/item/ETNA_2014__41__a14/
%G en
%F ETNA_2014__41__a14
Salkuyeh,  Davod Khojasteh; Edalatpour,  Vahid; Hezari,  Davod. Polynomial preconditioning for the generank problem. Electronic transactions on numerical analysis, Tome 41 (2014), pp. 179-189. http://geodesic.mathdoc.fr/item/ETNA_2014__41__a14/