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Volumn 91, Issue 2, 1996, Pages 389-418

Convergence Analysis of Norm-Relaxed Method of Feasible Directions

Author keywords

Method of feasible directions; Nonlinear programming

Indexed keywords

ASYMPTOTIC RATE; CONVERGENCE ANALYSIS; DIRECTION FINDING; FEASIBLE DIRECTION METHODS; LINEAR CONSTRAINTS; MATRIX NORMS; METHOD OF FEASIBLE DIRECTION; OPTIMAL SOLUTIONS; RATE OF CONVERGENCE; SUB-PROBLEMS;

EID: 0030508578     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02190102     Document Type: Article
Times cited : (8)

References (18)
  • 2
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    • On the Convergence of Some Feasible Direction Algorithms for Nonlinear Programming
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    • Topkis, D.M.1    Veinott, A.F.2
  • 3
    • 0000986821 scopus 로고
    • On the Convergence of Certain Methods of Centers
    • PIRONNEAU, O., and POLAK, E., On the Convergence of Certain Methods of Centers, Mathematical Programming, Vol. 2, pp. 230-257, 1972.
    • (1972) Mathematical Programming , vol.2 , pp. 230-257
    • Pironneau, O.1    Polak, E.2
  • 4
    • 0002364867 scopus 로고
    • Rate of Convergence of a Class of Methods of Feasible Directions
    • PIRONNEAU, O., and POLAK, E., Rate of Convergence of a Class of Methods of Feasible Directions, SIAM Journal on Numerical Analysis, Vol. 10, pp. 161-173, 1973.
    • (1973) SIAM Journal on Numerical Analysis , vol.10 , pp. 161-173
    • Pironneau, O.1    Polak, E.2
  • 6
    • 0021526586 scopus 로고
    • Efficient Feasible Directions Algorithm for Design Synthesis
    • VANDERPLAATS, G. N., Efficient Feasible Directions Algorithm for Design Synthesis, AIAA Journal, Vol. 22, pp. 1633-1640, 1984.
    • (1984) AIAA Journal , vol.22 , pp. 1633-1640
    • Vanderplaats, G.N.1
  • 8
    • 0020632946 scopus 로고
    • An Efficient Method of Feasible Directions
    • MEYER, G. L., An Efficient Method of Feasible Directions, SIAM Journal on Control and Optimization, Vol. 21, pp. 153-162, 1983.
    • (1983) SIAM Journal on Control and Optimization , vol.21 , pp. 153-162
    • Meyer, G.L.1
  • 11
    • 0347497386 scopus 로고
    • A Feasible Direction Algorithm for Convex Optimization: Global Convergence Rates
    • ALLWRIGHT, J. C., A Feasible Direction Algorithm for Convex Optimization: Global Convergence Rates, Journal of Optimization Theory and Applications, Vol. 30, pp. 1-18, 1980.
    • (1980) Journal of Optimization Theory and Applications , vol.30 , pp. 1-18
    • Allwright, J.C.1
  • 13
    • 0017017222 scopus 로고
    • On the Rate of Convergence of Some Feasible Direction Algorithms
    • CHANEY, R. W., On the Rate of Convergence of Some Feasible Direction Algorithms, Journal of Optimization Theory and Applications, Vol. 20, pp. 297-313, 1976.
    • (1976) Journal of Optimization Theory and Applications , vol.20 , pp. 297-313
    • Chaney, R.W.1
  • 14
    • 0028540063 scopus 로고
    • Norm-Relaxed Method of Feasible Directions for Solving Nonlinear Programming Problems
    • CAWOOD, M. E., and KOSTREVA, M. M., Norm-Relaxed Method of Feasible Directions for Solving Nonlinear Programming Problems, Journal of Optimization Theory and Applications, Vol. 83, 1994.
    • (1994) Journal of Optimization Theory and Applications , vol.83
    • Cawood, M.E.1    Kostreva, M.M.2
  • 15
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge, England
    • HORN, R. A., and JOHNSON, C. R., Matrix Analysis, Cambridge University Press, Cambridge, England, 1985.
    • (1985) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 17
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    • Resolution of Mathematical Programming with Nonlinear Constraints by the Method of Centers
    • Edited by J. Abadie, North Holland, Amsterdam, Holland
    • HUARD, P., Resolution of Mathematical Programming with Nonlinear Constraints by the Method of Centers, Nonlinear Programming, Edited by J. Abadie, North Holland, Amsterdam, Holland, pp. 207-219 1967.
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    • Huard, P.1
  • 18
    • 0002110483 scopus 로고
    • Generalization of Murty's Direct Algorithm to Linear and Convex Quadratic Programming
    • KOSTREVA, M. M., Generalization of Murty's Direct Algorithm to Linear and Convex Quadratic Programming, Journal of Optimization Theory and Applications, Vol. 62, pp. 63-76, 1989.
    • (1989) Journal of Optimization Theory and Applications , vol.62 , pp. 63-76
    • Kostreva, M.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.