메뉴 건너뛰기




Volumn 394, Issue 1-3, 2005, Pages 73-89

Permanental bounds for nonnegative matrices via decomposition

Author keywords

Decomposition; Nonnegative matrix; Permanent; Scale symmetries; Sharpening; Upper bound

Indexed keywords

DECOMPOSITION; INTERPOLATION; MATHEMATICAL OPERATORS; SET THEORY; THEOREM PROVING; VECTORS;

EID: 7544238847     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.06.022     Document Type: Article
Times cited : (16)

References (15)
  • 1
    • 0000906859 scopus 로고
    • Some properties of nonnegative matrices and their permanents
    • L.M. Brègman, Some properties of nonnegative matrices and their permanents, Soviet Math. Doki. 14 (4) (1973) 945-949.
    • (1973) Soviet Math. Doki. , vol.14 , Issue.4 , pp. 945-949
    • Brègman, L.M.1
  • 2
    • 0001444508 scopus 로고
    • Solution of van der Waerden's permanent conjecture, (Russian) translation
    • preprint I 3M of the Kirenski Institute of Physics, Krasnojarsk
    • G.P. Egoritsjev, Solution of van der Waerden's permanent conjecture, (Russian) translation in: Adv. Math. 42 (1981) 299-305, preprint I 3M of the Kirenski Institute of Physics, Krasnojarsk.
    • (1981) Adv. Math. , vol.42 , pp. 299-305
    • Egoritsjev, G.P.1
  • 3
    • 0001255036 scopus 로고
    • A proof of the van der Waerden's conjecture on the permanent of a doubly stochastic matrix
    • in Russian
    • D.I. Falikman, A proof of the van der Waerden's conjecture on the permanent of a doubly stochastic matrix, Mat Zametki 29 (1981) 931-938 (in Russian).
    • (1981) Mat Zametki , vol.29 , pp. 931-938
    • Falikman, D.I.1
  • 5
    • 0002798708 scopus 로고
    • Matrix factorizations of determinants and permanents
    • W.B. Jurkat, H.J. Ryser, Matrix factorizations of determinants and permanents, J. Algebra 3 (1966) 1-27.
    • (1966) J. Algebra , vol.3 , pp. 1-27
    • Jurkat, W.B.1    Ryser, H.J.2
  • 7
    • 0031619018 scopus 로고    scopus 로고
    • A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents
    • N. Linial, A. Samorodnitsky, A. Wigderson, A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents, in: SPOC 98, 1998, pp. 644-652.
    • (1998) SPOC 98 , pp. 644-652
    • Linial, N.1    Samorodnitsky, A.2    Wigderson, A.3
  • 8
    • 0011690522 scopus 로고
    • Upper bounds for permanents of (0, 1)-matrices
    • H. Mine, Upper bounds for permanents of (0, 1)-matrices, Bull Amer. Math. Soc. 69 (1963) 789-791.
    • (1963) Bull Amer. Math. Soc. , vol.69 , pp. 789-791
    • Mine, H.1
  • 9
    • 84971120609 scopus 로고
    • Bounds for permanents of nonnegative matrices
    • H. Minc, Bounds for permanents of nonnegative matrices, Proc. Edinburgh Math. Soc. 16 (1968) 233-237.
    • (1968) Proc. Edinburgh Math. Soc. , vol.16 , pp. 233-237
    • Minc, H.1
  • 10
    • 84933855383 scopus 로고
    • Rearrangements
    • H. Minc, Rearrangements, Hans. Amen Math. Soc. 159 (1971) 233-237.
    • (1971) Hans. Amen Math. Soc. , vol.159 , pp. 233-237
    • Minc, H.1
  • 13
    • 0010786363 scopus 로고
    • A short proof of Mine's conjecture
    • A. Schrijver, A short proof of Mine's conjecture, J. Combin. Theory Ser. A 25 (1978) 80-83.
    • (1978) J. Combin. Theory Ser. A , vol.25 , pp. 80-83
    • Schrijver, A.1
  • 14
    • 0142161587 scopus 로고    scopus 로고
    • Extending me Minc-Brègman upper bound for the permanent
    • G.W. Soules, Extending me Minc-Brègman upper bound for the permanent, Linear and Multilinear Algebra 47 (1) (2000) 77-92.
    • (2000) Linear and Multilinear Algebra , vol.47 , Issue.1 , pp. 77-92
    • Soules, G.W.1
  • 15
    • 0142199877 scopus 로고    scopus 로고
    • New permanental upper bounds for nonnegative matrices
    • G.W. Soules, New permanental upper bounds for nonnegative matrices, Linear and Multilinear Algebra 51 (4) (2003) 319-337.
    • (2003) Linear and Multilinear Algebra , vol.51 , Issue.4 , pp. 319-337
    • Soules, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.