메뉴 건너뛰기
Applied Mathematics and Computation
Volumn 217, Issue 23, 2011, Pages 9790-9797
On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers
Author keywords

Circulant matrix; Determinant; Fibonacci number; Inverse; Lucas number
Indexed keywords

CIRCULANT MATRIX; DETERMINANT; FIBONACCI NUMBERS; INVERSE; LUCAS NUMBERS;
EID: 79958101399     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.04.072     Document Type: Article
Times cited : (76)
References (11)
  • 2
    • 0042910454 scopus 로고    scopus 로고
    • Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices
    • G.-Y. Lee, J.-S. Kim, and S.-G. Lee Factorizations and eigenvalues of Fibonacci and symmetric Fibonacci matrices Fibonacci Quart. 40 2002 203 211 (Pubitemid 41453377)
    • (2002) Fibonacci Quarterly , vol.40 , Issue.3 , pp. 203-211
    • Lee, G.-Y.1    Kim, J.-S.2    Lee, S.-G.3
  • 3
    • 39149096287 scopus 로고    scopus 로고
    • The Lucas matrix and some combinatorial identities
    • Z. Zhang, and Y. Zhang The Lucas matrix and some combinatorial identities Indian J. Pure Appl. Math. 38 5 2007 457 465
    • (2007) Indian J. Pure Appl. Math. , vol.38 , Issue.5 , pp. 457-465
    • Zhang, Z.1    Zhang, Y.2
  • 4
    • 78651435898 scopus 로고    scopus 로고
    • Singular case of generalized Fibonacci and Lucas matrices
    • M. Miladinović, and P. Stanimirović Singular case of generalized Fibonacci and Lucas matrices J. Korean Math. Soc. 48 2011 33 48
    • (2011) J. Korean Math. Soc. , vol.48 , pp. 33-48
    • Miladinović, M.1    Stanimirović, P.2
  • 5
    • 77956276224 scopus 로고    scopus 로고
    • On the norms of Toeplitz matrices involving Fibonacci and Lucas numbers
    • M. Akbulak, and D. Bozkurt On the norms of Toeplitz matrices involving Fibonacci and Lucas numbers Hacet. J. Math. Stat. 37 2 2008 89 95
    • (2008) Hacet. J. Math. Stat. , vol.37 , Issue.2 , pp. 89-95
    • Akbulak, M.1    Bozkurt, D.2
  • 6
    • 8344277998 scopus 로고    scopus 로고
    • On the norms of circulant matrices with the Fibonacci and Lucas numbers
    • S. Solak On the norms of circulant matrices with the Fibonacci and Lucas numbers Appl. Math. Comput. 160 2005 125 132
    • (2005) Appl. Math. Comput. , vol.160 , pp. 125-132
    • Solak, S.1
  • 7
    • 34250623263 scopus 로고    scopus 로고
    • Erratum to 'On the norms of circulant matrices with the Fibonacci and Lucas numbers' [Appl. Math. Comput. 160 (2005) 125-132] (DOI:10.1016/j.amc.2003. 08.126)
    • DOI 10.1016/j.amc.2007.02.075, PII S0096300307002421
    • S. Solak Erratum to "On the norms of circulant matrices with the Fibonacci and Lucas numbers" [Appl. Math. Comput. 160(2005) 125-132] Appl. Math. Comput. 190 2007 1855 1856 (Pubitemid 46935920)
    • (2007) Applied Mathematics and Computation , vol.190 , Issue.2 , pp. 1855-1856
    • Solak, S.1
  • 8
    • 77953231160 scopus 로고    scopus 로고
    • On the bounds for the norms of r-circulant matrices with the Fibonacci and Lucas numbers
    • S. Shen, and J. Cen On the bounds for the norms of r-circulant matrices with the Fibonacci and Lucas numbers Appl. Math. Comput. 216 2010 2891 2897
    • (2010) Appl. Math. Comput. , vol.216 , pp. 2891-2897
    • Shen, S.1    Cen, J.2
  • 9
    • 79958148029 scopus 로고    scopus 로고
    • On the norms of circulant matrices with the (k, h)-Fibonacci and (k, h)-Lucas numbers
    • S. Shen, and J. Cen On the norms of circulant matrices with the (k, h)-Fibonacci and (k, h)-Lucas numbers Int. J. Contemp. Math. Sciences 6 18 2011 887 894
    • (2011) Int. J. Contemp. Math. Sciences , vol.6 , Issue.18 , pp. 887-894
    • Shen, S.1    Cen, J.2
  • 10
    • 0742279860 scopus 로고
    • On the inversion of circulant matrices
    • I.J. Good On the inversion of circulant matrices Biometrika 37 1950 185 186
    • (1950) Biometrika , vol.37 , pp. 185-186
    • Good, I.J.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.