메뉴 건너뛰기




Volumn 22, Issue 4, 2001, Pages 1027-1037

A class of P-matrices with applications to the localization of the eigenvalues of a real matrix

Author keywords

Eigenvalues localization; Gerschgorin circles; P matrix; Sign regular matrix; Symmetric matrix

Indexed keywords


EID: 0035537390     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479800370342     Document Type: Article
Times cited : (88)

References (9)
  • 1
    • 0001366189 scopus 로고
    • Totally positive matrices
    • T. ANDO, Totally positive matrices, Linear Algebra Appl., 90 (1987), pp. 165-219.
    • (1987) Linear Algebra Appl. , vol.90 , pp. 165-219
    • Ando, T.1
  • 2
    • 0003270351 scopus 로고    scopus 로고
    • Nonnegative matrices in the mathematical sciences
    • SIAM, Philadelphia
    • A. BERMAN AND R. J. PLEMMONS, Nonnegative Matrices in the Mathematical Sciences, Classics Appl. Math. 9, SIAM, Philadelphia, 1996.
    • (1996) Classics Appl. Math. , vol.9
    • Berman, A.1    Plemmons, R.J.2
  • 3
    • 21844509507 scopus 로고
    • Regions in the complex plane containing the eigenvalues of a matrix
    • R. A. BRUALDI AND S. MELLENDORF, Regions in the complex plane containing the eigenvalues of a matrix, Amer. Math. Monthly, 101 (1994), pp. 975-985.
    • (1994) Amer. Math. Monthly , vol.101 , pp. 975-985
    • Brualdi, R.A.1    Mellendorf, S.2
  • 5
    • 84972498373 scopus 로고
    • Note on circular disks containing the eigenvalues of a matrix
    • K. FAN, Note on circular disks containing the eigenvalues of a matrix, Duke Math. J., 25 (1958), pp. 441-445.
    • (1958) Duke Math. J. , vol.25 , pp. 441-445
    • Fan, K.1
  • 6
    • 84968510063 scopus 로고
    • On the nonsingularity of real matrices
    • A. J. HOFFMAN, On the nonsingularity of real matrices, Math. Comp., 19 (1965), pp. 56-61.
    • (1965) Math. Comp. , vol.19 , pp. 56-61
    • Hoffman, A.J.1
  • 7
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • R. A. HORN AND C. R. JOHNSON, Matrix Analysis, Cambridge University Press, Cambridge, UK, 1985.
    • (1985) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 8
    • 0001730365 scopus 로고    scopus 로고
    • Backward stability of a pivoting strategy for sign-regular linear systems
    • J. M. PEÑA, Backward stability of a pivoting strategy for sign-regular linear systems, BIT, 37 (1997), pp. 910-924.
    • (1997) BIT , vol.37 , pp. 910-924
    • Peña, J.M.1
  • 9
    • 84972487776 scopus 로고
    • Minimal Gerschgorin sets
    • R. S. VARGA, Minimal Gerschgorin sets, Pacific J. Math., 15 (1965), pp. 719-729.
    • (1965) Pacific J. Math. , vol.15 , pp. 719-729
    • Varga, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.