메뉴 건너뛰기




Volumn 7, Issue 1, 2006, Pages 5-32

QPSchur: A dual, active-set, Schur-complement method for large-scale and structured convex quadratic programming

Author keywords

Active set; Dual space; Object oriented programming; Quadratic programming; Schur complement

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; LINEAR ALGEBRA; MATHEMATICAL MODELS; OBJECT ORIENTED PROGRAMMING; PROBLEM SOLVING;

EID: 33644505545     PISSN: 13894420     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11081-006-6588-z     Document Type: Article
Times cited : (65)

References (17)
  • 1
    • 0009737103 scopus 로고    scopus 로고
    • Object oriented approaches to large-scale nonlinear programming for process systems engineering
    • PhD thesis, Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA
    • Bartlett, RA (2001) Object oriented approaches to large-scale nonlinear programming for process systems engineering. PhD thesis, Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA
    • (2001)
    • Bartlett, R.A.1
  • 2
  • 3
    • 33644553236 scopus 로고    scopus 로고
    • RSQP++: An object-oriented framework for successive quadratic programming
    • Lecture Notes in Computational Science and Engineering, Berlin, Springer Verlag
    • Bartlett RA, Biegler LT (2003) RSQP++: An object-oriented framework for successive quadratic programming. In Large-scale PDE-Constrained Optimization, Lecture Notes in Computational Science and Engineering 30, Berlin, Springer Verlag, pp 316
    • (2003) Large-scale PDE-Constrained Optimization , vol.30 , pp. 316
    • Bartlett, R.A.1    Biegler, L.T.2
  • 4
    • 0028497415 scopus 로고
    • A sparse nonlinear optimization algorithm
    • Betts JT, Frank PD (1994) A sparse nonlinear optimization algorithm. J. Opt. Theory Appl. 82(3):519-541
    • (1994) J. Opt. Theory Appl. , vol.82 , Issue.3 , pp. 519-541
    • Betts, J.T.1    Frank, P.D.2
  • 5
    • 0028319529 scopus 로고
    • Representations of quasi-Newton matrices and their use in limited methods
    • Byrd RH, Nocedal J, Schnabel RB (1994) Representations of quasi-Newton matrices and their use in limited methods. Math. Prog. 63:129-156
    • (1994) Math. Prog. , vol.63 , pp. 129-156
    • Byrd, R.H.1    Nocedal, J.2    Schnabel, R.B.3
  • 6
    • 0000741454 scopus 로고
    • What are Schur complements, anyway?
    • Carlson D (1986) What are Schur complements, anyway? Lin. Alg. Appl. 74:257-275
    • (1986) Lin. Alg. Appl. , vol.74 , pp. 257-275
    • Carlson, D.1
  • 10
    • 0020826623 scopus 로고
    • A numerically stable dual method for solving strictly convex quadratic programs
    • Goldfarb D, Idnani A (1983) A numerically stable dual method for solving strictly convex quadratic programs. Mathematical Programming 27:1-33
    • (1983) Mathematical Programming , vol.27 , pp. 1-33
    • Goldfarb, D.1    Idnani, A.2
  • 14
    • 0013442263 scopus 로고
    • ZQPCVX: A Fortran subroutine for convex quadratic programming
    • Technical report, Department of Applied Mathematics and Theoretical Physics, Cambridge University
    • Powell M (1983) ZQPCVX: A Fortran subroutine for convex quadratic programming. Technical report, Department of Applied Mathematics and Theoretical Physics, Cambridge University
    • (1983)
    • Powell, M.1
  • 15
    • 0028500958 scopus 로고
    • Quadratic programming methods for reduced hessian SQP
    • Schmid C, Biegler LT (1994) Quadratic programming methods for reduced hessian SQP. Comp. Chem. Eng. 18:817
    • (1994) Comp. Chem. Eng. , vol.18 , pp. 817
    • Schmid, C.1    Biegler, L.T.2
  • 16
    • 0009154145 scopus 로고
    • Updating the Symmetric Indefinite Factorization with Applications in a Modified Newton Method
    • Technical Report ANL-77-49, Argonne National Laboratory
    • Sorensen DC (1977) Updating the Symmetric Indefinite Factorization with Applications in a Modified Newton Method. Technical Report ANL-77-49, Argonne National Laboratory
    • (1977)
    • Sorensen, D.C.1
  • 17
    • 0003551703 scopus 로고
    • An Interior Point Code for Quadratic Programming
    • Technical Report SOR 94-15, Princeton University
    • Vanderbei RJ (1994) An Interior Point code for Quadratic Programming. Technical Report SOR 94-15, Princeton University
    • (1994)
    • Vanderbei, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.