Geodesic
On the asymptotically exact estimates of preconditioners of the incomplete factorization type
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 1, pp. 11-42

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The methods of incomplete block factorization for the model elliptic boundary value problem are considered. The filling-in dependent two-side asymptotically exact estimates of the precondition number are proved. 
@article{SJVM_2000_3_1_a1,
     author = {I. A. Blatov},
     title = {On the asymptotically exact estimates of preconditioners of the incomplete factorization type},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {11--42},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2000_3_1_a1/}
}
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I. A. Blatov. On the asymptotically exact estimates of preconditioners of the incomplete factorization type. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 1, pp. 11-42. http://geodesic.mathdoc.fr/item/SJVM_2000_3_1_a1/