Geodesic
Bounds of determinants of matrices satisfying the Hadamard and Brauer conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 2, pp. 179-185 
N. A. Atomanichenko; A. I. Perov. Bounds of determinants of matrices satisfying the Hadamard and Brauer conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 2, pp. 179-185. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Parodi K., Lokalizatsiya kharakteristicheskikh chisel matrits i ee primeneniya, Izd-vo inostr. lit., M., 1960 | MR

[2] Lankaster P., Teoriya matrits, Nauka, M., 1978 | MR

[3] Gantmakher F. R., Teoriya matrits, Nauka, M., 1967 | MR

[4] Perov A. I., “Otsenki opredelitelei matrits, udovletvoryayuschikh usloviyam Adamara i Brauera”, Sovrem. metody teorii funktsii i smezhnye probl. prikl. matem. i mekhan., Izd-vo Voronezhskogo un-ta, Voronezh, 1995, 185

[5] Perov A. I., “Otsenki elementov obratnykh matrits v usloviyakh kriteriev regulyarnosti”, Zh. vychisl. matem. i matem. fiz., 39:6 (1999), 867–875 | MR | Zbl

[6] Kotelyanskii D. M., “Otsenki dlya opredelitelei matrits s preobladayuschei glavnoi diagonalyu”, Izv. AN SSSR. Ser. matem., 20:1 (1956), 137 | MR

[7] Ostrowsky A., “Sur la determination des bornes inferieures pour une classe des determinants”, Bull. Math. Sci., 61 (1937), 19–32

[8] Price E. B., “Bounds for determinants with dominant principal diagonal”, Proc. Amer. Math. Soc., 2 (1951), 497–502 | DOI | MR | Zbl