Permanental compound matrices and Schneider's theorem
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 5-16 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Permanental compound matrices are investigated, compared with classical compound matrices, and used for estimating matrix eigenvalue products and root products of a polynomial.
@article{ZNSL_2004_309_a0,
     author = {V. S. Al'pina and Yu. A. Alpin},
     title = {Permanental compound matrices and {Schneider's} theorem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--16},
     year = {2004},
     volume = {309},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a0/}
}
TY  - JOUR
AU  - V. S. Al'pina
AU  - Yu. A. Alpin
TI  - Permanental compound matrices and Schneider's theorem
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2004
SP  - 5
EP  - 16
VL  - 309
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a0/
LA  - ru
ID  - ZNSL_2004_309_a0
ER  - 
%0 Journal Article
%A V. S. Al'pina
%A Yu. A. Alpin
%T Permanental compound matrices and Schneider's theorem
%J Zapiski Nauchnykh Seminarov POMI
%D 2004
%P 5-16
%V 309
%U http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a0/
%G ru
%F ZNSL_2004_309_a0
V. S. Al'pina; Yu. A. Alpin. Permanental compound matrices and Schneider's theorem. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 5-16. http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a0/

[1] R. A. Brualdi, M. Newman, “Inequalities for the permanental minors of non-negative matrices”, Canad. J. Math., 18:3 (1966), 608–615 | DOI | MR | Zbl

[2] M. Markus, Kh. Mink, Obzor po teorii matrits i matrichnykh neravenstv, Nauka, M., 1972 | MR

[3] A. Marshall, I. Olkin, Neravenstva: teoriya mazhorizatsii i ee prilozheniya, Mir, M., 1983 | MR | Zbl

[4] Yu. A. Alpin, V. S. Alpina, “Permanentnye neravenstva dlya sobstvennykh znachenii”, Aktualnye problemy matematiki i mekhaniki, Materialy mezhd. nauchn. konf. (Kazan, 2000)

[5] Kh. Mink, Permanenty, Mir, M., 1982 | MR

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

[7] R. Khorn, Ch. Dzhonson, Matrichnyi analiz, Mir, M., 1989 | MR

[8] I. M. Glazman, Yu. I. Lyubich, Konechnomernyi lineinyi analiz, Nauka, M., 1969 | MR | Zbl