Geodesic
Polynomial preconditioning for the generank problem
Electronic transactions on numerical analysis, Tome 41 (2014), pp. 179-189.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {41},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2014__41__a14/}
}
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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/