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Volumn 86, Issue 1, 1999, Pages 187-197

A note on quadratic forms

Author keywords

Convex combination; Matrix perturbation; Quadratic forms

Indexed keywords


EID: 0141913419     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101070050085     Document Type: Article
Times cited : (19)

References (13)
  • 1
    • 0010120775 scopus 로고
    • On the field of values of a matrix
    • Brickman, L. (1961): On the field of values of a matrix. Proc. Am. Math. Soc. 12, 61-66
    • (1961) Proc. Am. Math. Soc. , vol.12 , pp. 61-66
    • Brickman, L.1
  • 2
    • 0002336672 scopus 로고
    • A trust region algorithm for nonlinear equality constrained optimization
    • Boggs, P.T., Byrd, R.H., Schnabel, R.B., eds., SIAM, Philadelphia
    • Celis, M.R., Dennis, J.E., Tapia, R. A. (1985): A trust region algorithm for nonlinear equality constrained optimization. In: Boggs, P.T., Byrd, R.H., Schnabel, R.B., eds., Numerical Optimization, pp. 71-82. SIAM, Philadelphia
    • (1985) Numerical Optimization , pp. 71-82
    • Celis, M.R.1    Dennis, J.E.2    Tapia, R.A.3
  • 4
    • 0028425178 scopus 로고
    • On the solution of a two ball trust region subproblem
    • Heinkenschloss, M. (1994): On the solution of a two ball trust region subproblem. Math. Program. 64, 249-276
    • (1994) Math. Program. , vol.64 , pp. 249-276
    • Heinkenschloss, M.1
  • 5
    • 0028468423 scopus 로고
    • Yuan's Alternative theorem and the maximization of the minimum eigenvalue
    • Martínez-Legaz, J.E., Seeger, A. (1994): Yuan's Alternative theorem and the maximization of the minimum eigenvalue. J. Optim. Theory Appl. 82, 159-167
    • (1994) J. Optim. Theory Appl. , vol.82 , pp. 159-167
    • Martínez-Legaz, J.E.1    Seeger, A.2
  • 6
    • 0027901827 scopus 로고
    • Generalization of the trust region problem
    • Moré, J.J. (1993): Generalization of the trust region problem. Optim. Methods Software 2, 189-209
    • (1993) Optim. Methods Software , vol.2 , pp. 189-209
    • Moré, J.J.1
  • 7
    • 0031285896 scopus 로고    scopus 로고
    • Optimality conditions for the minimization of a quadratic with two quadratic constraints
    • Peng, J., Yuan, Y. (1997): Optimality conditions for the minimization of a quadratic with two quadratic constraints. SIAM J. Optim. 7, 574-594
    • (1997) SIAM J. Optim. , vol.7 , pp. 574-594
    • Peng, J.1    Yuan, Y.2
  • 8
    • 34249955300 scopus 로고
    • A trust region algorithm for equality constrained optimization
    • Powell, M.J.D., Yuan, Y. (1991): A trust region algorithm for equality constrained optimization. Math. Program. 49, 189-211
    • (1991) Math. Program. , vol.49 , pp. 189-211
    • Powell, M.J.D.1    Yuan, Y.2
  • 11
    • 0001175776 scopus 로고
    • A recurring theorem about pairs of quadratic forms and extensions: A survey
    • Uhlig, F. (1979): A recurring theorem about pairs of quadratic forms and extensions: A survey. Linear Algebra Appl. 25, 219-237
    • (1979) Linear Algebra Appl. , vol.25 , pp. 219-237
    • Uhlig, F.1
  • 12
    • 0002765829 scopus 로고
    • On a subproblem of trust region algorithms for constrained optimization
    • Yuan, Y. (1990): On a subproblem of trust region algorithms for constrained optimization. Math. Program. 47, 53-63
    • (1990) Math. Program. , vol.47 , pp. 53-63
    • Yuan, Y.1
  • 13
    • 0001321667 scopus 로고
    • A dual algorithm for minimizing a quadratic function with two quadratic constraints
    • Yuan, Y. (1991): A dual algorithm for minimizing a quadratic function with two quadratic constraints. J. Comput. Math. 9, 348-359
    • (1991) J. Comput. Math. , vol.9 , pp. 348-359
    • Yuan, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.