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Volumn 211, Issue 1, 2009, Pages 137-141

On the powers and the inverse of a tridiagonal matrix

Author keywords

Christoffel Darboux formula; Eigenvalues; Eigenvectors; Tridiagonal matrices

Indexed keywords

CHRISTOFFEL-DARBOUX FORMULA; EIGEN DECOMPOSITIONS; EIGENVALUES; EIGENVECTORS; TRIDIAGONAL MATRICES;

EID: 64449088013     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.01.026     Document Type: Article
Times cited : (13)

References (8)
  • 1
    • 35248863485 scopus 로고    scopus 로고
    • On computing of arbitrary positive integer power for tridiagonal matrices with elements -1, 0, 0, ..., 0 in principal and 1, 1, 1, ..., 1 in neighbouring diagonals - I
    • Rimas J. On computing of arbitrary positive integer power for tridiagonal matrices with elements -1, 0, 0, ..., 0 in principal and 1, 1, 1, ..., 1 in neighbouring diagonals - I. Appl. Math. Comput. 193 (2007) 253-256
    • (2007) Appl. Math. Comput. , vol.193 , pp. 253-256
    • Rimas, J.1
  • 2
    • 0037040146 scopus 로고    scopus 로고
    • Enumeration of simple random walks and tridiagonal matrices
    • Cicuta G.M., Contedini M., and Molinari L. Enumeration of simple random walks and tridiagonal matrices. J. Phys. A: Math. Gen. 35 5 (2002) 1125-1146
    • (2002) J. Phys. A: Math. Gen. , vol.35 , Issue.5 , pp. 1125-1146
    • Cicuta, G.M.1    Contedini, M.2    Molinari, L.3
  • 4
    • 0003938160 scopus 로고
    • Inversion of tridiagonal matrices
    • Lewis J.W. Inversion of tridiagonal matrices. Numer. Math. 38 (1982) 333-345
    • (1982) Numer. Math. , vol.38 , pp. 333-345
    • Lewis, J.W.1
  • 5
    • 33745665523 scopus 로고    scopus 로고
    • On the location of the eigenvalues of Jacobi matrices
    • da Fonseca C.M. On the location of the eigenvalues of Jacobi matrices. Appl. Math. Lett. 19 (2006) 1168-1174
    • (2006) Appl. Math. Lett. , vol.19 , pp. 1168-1174
    • da Fonseca, C.M.1
  • 6
    • 0035608375 scopus 로고    scopus 로고
    • Explicit inverses of some tridiagonal matrices
    • da Fonseca C.M., and Petronilho J. Explicit inverses of some tridiagonal matrices. Linear Algebra Appl. 325 (2001) 7-21
    • (2001) Linear Algebra Appl. , vol.325 , pp. 7-21
    • da Fonseca, C.M.1    Petronilho, J.2
  • 7
    • 41249089432 scopus 로고    scopus 로고
    • Explicit inverse of a tridiagonal k-Toeplitz matrix
    • da Fonseca C.M., and Petronilho J. Explicit inverse of a tridiagonal k-Toeplitz matrix. Numer. Math. 100 3 (2005) 457-482
    • (2005) Numer. Math. , vol.100 , Issue.3 , pp. 457-482
    • da Fonseca, C.M.1    Petronilho, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.