메뉴 건너뛰기




Volumn 37, Issue 3, 1997, Pages 591-599

A greedy algorithm for the optimal basis problem

Author keywords

Greedy algorithm; Interpolation methods; Minimum spanning tree problem; Optimal basis problem; Secant approximation of derivatives; The Hadamard condition number

Indexed keywords


EID: 0012087557     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510241     Document Type: Article
Times cited : (4)

References (20)
  • 3
    • 0016434293 scopus 로고
    • Two Hadamard numbers for matrices
    • G. Birkhoff, Two Hadamard numbers for matrices, Comm. ACM, 23 (1975), pp. 25-29.
    • (1975) Comm. ACM , vol.23 , pp. 25-29
    • Birkhoff, G.1
  • 4
    • 1642530137 scopus 로고
    • Stable versions of the secant method for solving systems of equations
    • O. P. Burdakov, Stable versions of the secant method for solving systems of equations, U.S.S.R. Comput. Math and Math. Phys., 23:5 (1983), pp. 1-10.
    • (1983) U.S.S.R. Comput. Math and Math. Phys. , vol.23 , Issue.5 , pp. 1-10
    • Burdakov, O.P.1
  • 5
    • 84984075899 scopus 로고
    • On superlinear convergence of some stable variants of the secant method
    • O. P. Burdakov, On superlinear convergence of some stable variants of the secant method, ZAMM, 66 (1986), pp. 615-622.
    • (1986) ZAMM , vol.66 , pp. 615-622
    • Burdakov, O.P.1
  • 6
    • 1642530136 scopus 로고
    • Stable symmetric secant methods with restart
    • O. P. Burdakov, Stable symmetric secant methods with restart, Cybernetics, 27 (1991), pp. 390-396.
    • (1991) Cybernetics , vol.27 , pp. 390-396
    • Burdakov, O.P.1
  • 7
    • 27644488474 scopus 로고    scopus 로고
    • On using the minimum spanning tree algorithm for optimal secant approximation of derivatives
    • O. P. Burdakov, On using the minimum spanning tree algorithm for optimal secant approximation of derivatives, ZAMM, 76 (1996), No. S3, pp. 389-390.
    • (1996) ZAMM , vol.76 , Issue.S3 , pp. 389-390
    • Burdakov, O.P.1
  • 8
    • 27644438554 scopus 로고
    • Stable multipoint secant methods with released requirements to points position
    • J. Henry et al., eds., Springer-Verlag, London
    • O. P. Burdakov and U. Felgenhauer, Stable multipoint secant methods with released requirements to points position. In System Modelling and Optimization, J. Henry et al., eds., Springer-Verlag, London, 1994, pp. 225-236.
    • (1994) System Modelling and Optimization , pp. 225-236
    • Burdakov, O.P.1    Felgenhauer, U.2
  • 9
    • 0002999561 scopus 로고    scopus 로고
    • An algorithm using quadratic interpolation for unconstrained derivative free optimization
    • G. Di Pillo and F. Giannessi, eds., Plenum Press, New York
    • A. R. Conn and Ph. L. Toint, An algorithm using quadratic interpolation for unconstrained derivative free optimization. In Nonlinear Optimization and Applications, G. Di Pillo and F. Giannessi, eds., Plenum Press, New York, 1996, pp. 27-47.
    • (1996) Nonlinear Optimization and Applications , pp. 27-47
    • Conn, A.R.1    Toint, Ph.L.2
  • 11
    • 34147120474 scopus 로고
    • A note on two problems in connection with graphs
    • E. W. Dijkstra, A note on two problems in connection with graphs, Numerische Mathematik, 1 (1959), pp. 269-271.
    • (1959) Numerische Mathematik , vol.1 , pp. 269-271
    • Dijkstra, E.W.1
  • 12
    • 0004201430 scopus 로고
    • Computer Science Press, Potomac, Maryland
    • S. Even, Graph Algorithms, Computer Science Press, Potomac, Maryland, 1979.
    • (1979) Graph Algorithms
    • Even, S.1
  • 19
    • 0001770043 scopus 로고
    • A direct search optimization method that models the objective and constraint functions by linear interpolation
    • Advances in Optimization and Numerical Analysis, Oaxaca, Mexico, Kluwer Academic Publishers
    • M. J. D. Powell, A direct search optimization method that models the objective and constraint functions by linear interpolation. In Advances in Optimization and Numerical Analysis, Proceedings of the Sixth Workshop on Optimization and Numerical Analysis, Oaxaca, Mexico, Vol. 275, Kluwer Academic Publishers, 1994, pp. 51-67.
    • (1994) Proceedings of the Sixth Workshop on Optimization and Numerical Analysis , vol.275 , pp. 51-67
    • Powell, M.J.D.1
  • 20
    • 3042709992 scopus 로고
    • A direct search optimization method that models the objective by quadratic interpolation
    • M. J. D. Powell, A direct search optimization method that models the objective by quadratic interpolation. Presentation at the 5th Stockholm Optimization Days, 1994.
    • (1994) 5th Stockholm Optimization Days
    • Powell, M.J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.