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Volumn 397, Issue 1-3, 2005, Pages 185-192

A direct proof and a generalization for a Kantorovich type inequality

Author keywords

Compound matrices; Kantorovich inequality; Optimization

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING;

EID: 12444297585     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.10.009     Document Type: Article
Times cited : (5)

References (10)
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    • (1960) Numer. Math. , vol.2 , pp. 308-311
    • Bauer, F.L.1    Householder, A.S.2
  • 3
    • 0036959271 scopus 로고    scopus 로고
    • Interior methods for nonlinear optimization
    • A. Forsgren, P.E. Gill, and M.H. Wright Interior methods for nonlinear optimization SIAM Rev. 44 2002 525 597
    • (2002) SIAM Rev. , vol.44 , pp. 525-597
    • Forsgren, A.1    Gill, P.E.2    Wright, M.H.3
  • 4
    • 0033293064 scopus 로고    scopus 로고
    • Inexact preconditioned conjugate gradient method with inner-outer iteration
    • G.H. Golub, and Q. Ye Inexact preconditioned conjugate gradient method with inner-outer iteration SIAM J. Sci. Comput. 21 1999 1305 1320
    • (1999) SIAM J. Sci. Comput. , vol.21 , pp. 1305-1320
    • Golub, G.H.1    Ye, Q.2
  • 7
    • 84972047841 scopus 로고
    • Theory of algorithms for unconstrained optimization
    • J. Nocedal Theory of algorithms for unconstrained optimization Acta Numer. 1 1992 199 242
    • (1992) Acta Numer. , vol.1 , pp. 199-242
    • Nocedal, J.1
  • 8
    • 27344451855 scopus 로고    scopus 로고
    • Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications
    • J.E. Pecaric, S. Puntanen, and G.P.H. Styan Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications Linear Algebra Appl. 237 1996 455 476
    • (1996) Linear Algebra Appl. , vol.237 , pp. 455-476
    • Pecaric, J.E.1    Puntanen, S.2    Styan, G.P.H.3
  • 10
    • 0033464626 scopus 로고    scopus 로고
    • A matrix version of the Wielandt inequality and its applications to statistics
    • S.G. Wang, and W.C. Ip A matrix version of the Wielandt inequality and its applications to statistics Linear Algebra Appl. 296 1999 177 181
    • (1999) Linear Algebra Appl. , vol.296 , pp. 177-181
    • Wang, S.G.1    Ip, W.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.