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Volumn 429, Issue 1, 2008, Pages 68-71

Perron-Frobenius property of copositive matrices, and a block copositivity criterion

Author keywords

Dominant eigenvalue; Positive eigenvector; Schur complement; Spectral radius

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; PROBLEM SOLVING; VECTORS;

EID: 42749096246     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2008.02.003     Document Type: Article
Times cited : (12)

References (9)
  • 1
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    • Criteria for copositive matrices using simplices and barycentric coordinates
    • Andersson L.-E., Chang G., and Elfving T. Criteria for copositive matrices using simplices and barycentric coordinates. Linear Algebra Appl. 220 (1995) 9-30
    • (1995) Linear Algebra Appl. , vol.220 , pp. 9-30
    • Andersson, L.-E.1    Chang, G.2    Elfving, T.3
  • 2
    • 0002213060 scopus 로고
    • Remarks on the recursive structure of copositivity
    • Bomze I.M. Remarks on the recursive structure of copositivity. J. Inform. Optim. Sci. 8 (1987) 243-260
    • (1987) J. Inform. Optim. Sci. , vol.8 , pp. 243-260
    • Bomze, I.M.1
  • 3
    • 0030486436 scopus 로고    scopus 로고
    • Block pivoting and shortcut strategies for detecting copositivity
    • Bomze I.M. Block pivoting and shortcut strategies for detecting copositivity. Linear Algebra Appl. 248 (1996) 161-184
    • (1996) Linear Algebra Appl. , vol.248 , pp. 161-184
    • Bomze, I.M.1
  • 5
    • 10444237369 scopus 로고    scopus 로고
    • Spectral theory of copositive matrices
    • Johnson C.R., and Reams R. Spectral theory of copositive matrices. Linear Algebra Appl. 395 (2005) 275-281
    • (2005) Linear Algebra Appl. , vol.395 , pp. 275-281
    • Johnson, C.R.1    Reams, R.2
  • 6
    • 18844373367 scopus 로고    scopus 로고
    • On matrices with Perron-Frobenius properties and some negative entries
    • Johnson C.R., and Tarazaga P. On matrices with Perron-Frobenius properties and some negative entries. Positivity 8 (2004) 327-338
    • (2004) Positivity , vol.8 , pp. 327-338
    • Johnson, C.R.1    Tarazaga, P.2
  • 7
    • 17744369719 scopus 로고    scopus 로고
    • A characterization of positive matrices
    • Johnson C.R., and Tarazaga P. A characterization of positive matrices. Positivity 9 (2005) 149-150
    • (2005) Positivity , vol.9 , pp. 149-150
    • Johnson, C.R.1    Tarazaga, P.2
  • 8
    • 27844545254 scopus 로고    scopus 로고
    • On Perron-Frobenius property of matrices having some negative entries
    • Noutsos D. On Perron-Frobenius property of matrices having some negative entries. Linear Algebra Appl. 412 (2006) 132-153
    • (2006) Linear Algebra Appl. , vol.412 , pp. 132-153
    • Noutsos, D.1
  • 9
    • 0035342290 scopus 로고    scopus 로고
    • Perron-Frobenius theorem for matrices with some negative entries
    • Tarazaga P., Raydan M., and Hurman A. Perron-Frobenius theorem for matrices with some negative entries. Linear Algebra Appl. 328 (2001) 57-68
    • (2001) Linear Algebra Appl. , vol.328 , pp. 57-68
    • Tarazaga, P.1    Raydan, M.2    Hurman, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.