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Volumn 337, Issue 1-3, 2001, Pages 237-251

A copositivity probe

Author keywords

15A18; 15A48; 15A63; 49N10; 65F30; 65K99; 90C22; Copositive matrices; Eigenvalues; Optimization

Indexed keywords


EID: 0035501550     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00351-2     Document Type: Article
Times cited : (17)

References (19)
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    • (1995) Linear Algebra Appl. , vol.220 , pp. 9-30
    • Anderson, L.-E.1    Chang, G.2    Elfving, T.3
  • 2
    • 0004970684 scopus 로고
    • Extreme copositive quadratic forms
    • Baston V.J.D. Extreme copositive quadratic forms. Acta Arith. 15:1969;319-327.
    • (1969) Acta Arith. , vol.15 , pp. 319-327
    • Baston, V.J.D.1
  • 3
    • 84972513398 scopus 로고
    • Extreme copositive quadratic forms
    • Baumert L.D. Extreme copositive quadratic forms. Pacific J. Math. 19:1966;197-204.
    • (1966) Pacific J. Math. , vol.19 , pp. 197-204
    • Baumert, L.D.1
  • 4
    • 84972539512 scopus 로고
    • Extreme copositive quadratic forms. II
    • Baumert L.D. Extreme copositive quadratic forms. II. Pacific J. Math. 20:1967;1-20.
    • (1967) Pacific J. Math. , vol.20 , pp. 1-20
    • Baumert, L.D.1
  • 8
    • 0026970916 scopus 로고    scopus 로고
    • Role of copositivity in optimality criteria for nonconvex optimization problems
    • Danninger G. Role of copositivity in optimality criteria for nonconvex optimization problems. J. Optim. Theory Appl. 75:1998;535-558.
    • (1998) J. Optim. Theory Appl. , vol.75 , pp. 535-558
    • Danninger, G.1
  • 9
    • 34250084013 scopus 로고
    • Using copositivity for global optimality criteria in concave quadratic programming problems
    • Danninger G., Bomze I.M. Using copositivity for global optimality criteria in concave quadratic programming problems. Math. Programming. 62:1993;575-580.
    • (1993) Math. Programming , vol.62 , pp. 575-580
    • Danninger, G.1    Bomze, I.M.2
  • 10
    • 0002106815 scopus 로고
    • On non-negative forms in real variables some or all of which are non-negative
    • Diananda P.H. On non-negative forms in real variables some or all of which are non-negative. Proc. Cambridge Philos. Soc. 58:1962;17-25.
    • (1962) Proc. Cambridge Philos. Soc. , vol.58 , pp. 17-25
    • Diananda, P.H.1
  • 11
    • 0000606957 scopus 로고
    • Copositive and completely positive quadratic forms
    • Hall M.H. Jr., Newman M. Copositive and completely positive quadratic forms. Proc. Cambridge Philos. Soc. 59:1963;329-339.
    • (1963) Proc. Cambridge Philos. Soc. , vol.59 , pp. 329-339
    • Hall Jr., M.H.1    Newman, M.2
  • 13
    • 0034383022 scopus 로고    scopus 로고
    • A test for copositive matrices
    • Kaplan W. A test for copositive matrices. Linear Algebra Appl. 313:2000;203-206.
    • (2000) Linear Algebra Appl. , vol.313 , pp. 203-206
    • Kaplan, W.1
  • 16
    • 0023452095 scopus 로고
    • Some NP-complete problems in quadratic and nonlinear programming
    • Murty K., Kabadi S.N. Some NP-complete problems in quadratic and nonlinear programming. Math. Programming. 39:1987;117-129.
    • (1987) Math. Programming , vol.39 , pp. 117-129
    • Murty, K.1    Kabadi, S.N.2
  • 19
    • 0002126665 scopus 로고
    • Criteria for copositive matrices
    • Väliaho H. Criteria for copositive matrices. Linear Algebra Appl. 81:1986;19-34.
    • (1986) Linear Algebra Appl. , vol.81 , pp. 19-34
    • Väliaho, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.