Geodesic
A Relationship between Determinants and Permanents
Matematičeskie zametki, Tome 85 (2009) no. 2, pp. 292-299.

Voir la notice de l'article provenant de la source Math-Net.Ru

A class of matrices is determined for which a Polya transformation of permanents into determinants can be defined.
Mots-clés : permanent, Polya transformation.
Keywords: determinant 
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V. E. Tarakanov; R. A. Zatorskii. A Relationship between Determinants and Permanents. Matematičeskie zametki, Tome 85 (2009) no. 2, pp. 292-299. http://geodesic.mathdoc.fr/item/MZM_2009_85_2_a11/

[1] B. E. Tapakanov, Kombinatornye zadachi i $(0,1)$-matritsy, Problemy nauki i tekhnicheskogo progressa, Nauka, M., 1985 | MR | Zbl

[2] G. Polya, “Aufgabe 424”, Arch. Math. Phys. (3), 20 (1913), 271

[3] M. Marcus, H. Minc, “On the relation between the determinant and the permanent”, Illinois J. Math., 5 (1961), 376–381 | MR | Zbl

[4] X. Mink, Permanenty, Mir, M., 1982 | MR | Zbl

[5] R. A. Zators'kiĭ, “On paradeterminants and parapermanents of triangular matrices”, Mat. Stud., 17:1 (2002), 3–17 | MR | Zbl

[6] R. A. Zatorskii, “Opredeliteli treugolnykh matrits i traektorii na diagrammakh Ferre”, Matem. zametki, 72:6 (2002), 834–852 | MR | Zbl

[7] G. Endryus, Teoriya razbienii, Nauka, M., 1982 | MR | Zbl

[8] R. A. Zators'kiĭ, I. I. Lishchyns'kiĭ, “On a connection between determinants and paradeterminants”, Mat. Stud., 25:1 (2006), 97–102 | MR | Zbl

[9] P. M. Gibson, “Conversion of the permanent into the determinant”, Proc. Amer. Math. Soc., 27:3 (1971), 471–476 | DOI | MR | Zbl