메뉴 건너뛰기




Volumn 43, Issue 3-4, 2006, Pages 368-373

An SQP approach with line search for a system of nonlinear equations

Author keywords

Nonlinear programming; Optimization; SQP; The system of nonlinear equations

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; NONLINEAR EQUATIONS; OPTIMIZATION;

EID: 33644664672     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.10.007     Document Type: Article
Times cited : (30)

References (14)
  • 1
    • 44649149897 scopus 로고
    • Sequential quadratic programming
    • P.T. Boggs, and J.W. Tolle Sequential quadratic programming Acta Numerica 6 1995 1 52
    • (1995) Acta Numerica , vol.6 , pp. 1-52
    • Boggs, P.T.1    Tolle, J.W.2
  • 2
    • 9944248361 scopus 로고    scopus 로고
    • On the convergence of Newton iterations to non-stationary points
    • R.H. Byrd, M. Marazzi, and J. Nocedal On the convergence of Newton iterations to non-stationary points Mathematical Programming 99 2004 127 148
    • (2004) Mathematical Programming , vol.99 , pp. 127-148
    • Byrd, R.H.1    Marazzi, M.2    Nocedal, J.3
  • 4
    • 0742266953 scopus 로고    scopus 로고
    • A modified Levenberg-Marquardt algorithm for singular system of nonlinear equations
    • J.Y. Fan A modified Levenberg-Marquardt algorithm for singular system of nonlinear equations Journal of Computational Mathematics 21 2003 625 636
    • (2003) Journal of Computational Mathematics , vol.21 , pp. 625-636
    • Fan, J.Y.1
  • 5
    • 0003768769 scopus 로고
    • Practical Methods of Optimization, vol. 2
    • John Wiley and Sons New York, Toronto
    • R. Fletcher Practical Methods of Optimization, vol. 2 Constrained Optimization 1981 John Wiley and Sons New York, Toronto
    • (1981) Constrained Optimization
    • Fletcher, R.1
  • 6
    • 0346119927 scopus 로고    scopus 로고
    • A null space method for solving system of nonlinear equations
    • P.Y. Nie A null space method for solving system of nonlinear equations Applied Mathematics and Computation 149 2004 215 226
    • (2004) Applied Mathematics and Computation , vol.149 , pp. 215-226
    • Nie, P.Y.1
  • 7
    • 33644686570 scopus 로고    scopus 로고
    • Filter methods for system of nonlinear equations
    • P.Y. Nie Filter methods for system of nonlinear equations Acta Mathematicae Applicatae Sinica 27 2004 407 415 (in Chinese)
    • (2004) Acta Mathematicae Applicatae Sinica , vol.27 , pp. 407-415
    • Nie, P.Y.1
  • 8
    • 31644438084 scopus 로고    scopus 로고
    • CDT like approaches for the system of nonlinear equations
    • P.Y. Nie CDT like approaches for the system of nonlinear equations Applied Mathematics and Computation 172 2006 890 900
    • (2006) Applied Mathematics and Computation , vol.172 , pp. 890-900
    • Nie, P.Y.1
  • 9
    • 33644701796 scopus 로고    scopus 로고
    • A derivative-free method for the system of nonlinear equations
    • P.Y. Nie A derivative-free method for the system of nonlinear equations Nonlinear Analysis: Real World Applications 7 2006 319 325
    • (2006) Nonlinear Analysis: Real World Applications , vol.7 , pp. 319-325
    • Nie, P.Y.1
  • 11
    • 0022755948 scopus 로고
    • A recursive quadratic programming algorithm for equality constrained optimization
    • M.J.D. Powell, and Y. Yuan A recursive quadratic programming algorithm for equality constrained optimization Mathematical Programming 35 1986 265 278
    • (1986) Mathematical Programming , vol.35 , pp. 265-278
    • Powell, M.J.D.1    Yuan, Y.2
  • 12
    • 0025540157 scopus 로고
    • A trust region algorithm for equality constrained optimization
    • M.J.D. Powell, and Y. Yuan A trust region algorithm for equality constrained optimization Mathematical Programming 49 1990 189 211
    • (1990) Mathematical Programming , vol.49 , pp. 189-211
    • Powell, M.J.D.1    Yuan, Y.2
  • 14
    • 0001321667 scopus 로고
    • A dual algorithm for minimizing a quadratic function with two quadratic constraints
    • Y. Yuan A dual algorithm for minimizing a quadratic function with two quadratic constraints Journal of Computational Mathematics 9 1991 348 359
    • (1991) Journal of Computational Mathematics , vol.9 , pp. 348-359
    • Yuan, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.