Geodesic
Growth of extradiagonal elements of a matrix in bordering methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 990-991

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The off-diagonal elements of the intermediate matrices of the bordering method (or of the mathematically equivalent optimal elimeination method) are interpreted as Gaussian multipliers of submatrices of the inverse matrix. On the basis of this interpretation, sufficient conditions are found for the growth of the off-diagonal elements to be zero or bounded. 
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     author = {Kh. D. Ikramov},
     title = {Growth of extradiagonal elements of a matrix in bordering methods},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {990--991},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a22/}
}
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Kh. D. Ikramov. Growth of extradiagonal elements of a matrix in bordering methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 990-991. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a22/