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Volumn 26, Issue , 2007, Pages 161-177

On the efficient update of rectangular LU-factorizations subject to low rank modifications

Author keywords

KKT system; Low rank modification; LU factorization; Quasi Newton method

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; FACTORIZATION; ITERATIVE METHODS;

EID: 37649004218     PISSN: None     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (11)
  • 1
    • 0001612957 scopus 로고
    • Triangular factors of modified matrices
    • J. BENNETT, Triangular factors of modified matrices, Numer. Math., 7 (1965), pp. 217-221.
    • (1965) Numer. Math , vol.7 , pp. 217-221
    • BENNETT, J.1
  • 2
    • 0021620390 scopus 로고
    • Stable modification of explicit L U factors for simplex updates
    • R. FLETCHER AND S. MATTHEWS, Stable modification of explicit L U factors for simplex updates, Math. Program., 30 (1984), pp. 267-284.
    • (1984) Math. Program , vol.30 , pp. 267-284
    • FLETCHER, R.1    MATTHEWS, S.2
  • 4
    • 0004236492 scopus 로고
    • Second ed, The Johns Hopkins University Press, Baltimore, MD
    • G. GOLUB AND C. VAN LOAN, Matrix Computations, Second ed., The Johns Hopkins University Press, Baltimore, MD, 1989.
    • (1989) Matrix Computations
    • GOLUB, G.1    VAN LOAN, C.2
  • 6
    • 0030168036 scopus 로고    scopus 로고
    • Adol-c, a package for the automatic differentiation of algorithms written in c/c++
    • A. GRIEWANK, D. JUEDES, AND J. UTKE, Adol-c, a package for the automatic differentiation of algorithms written in c/c++, ACM Trans. Math. Software 22, (1996), pp. 131-167.
    • (1996) ACM Trans. Math. Software , vol.22 , pp. 131-167
    • GRIEWANK, A.1    JUEDES, D.2    UTKE, J.3
  • 7
    • 0036817650 scopus 로고    scopus 로고
    • On constrained optimization by adjoint based quasi-newton methods
    • A. GRIEWANK AND A. WALTHER, On constrained optimization by adjoint based quasi-newton methods, Optim. Methods Softw., 17 (2002), pp. 869-889.
    • (2002) Optim. Methods Softw , vol.17 , pp. 869-889
    • GRIEWANK, A.1    WALTHER, A.2
  • 8
    • 33847293310 scopus 로고    scopus 로고
    • Maintaining factorized KKT systems subject to rank-one updates of hessians and jacobians
    • A. GRIEWANK, A. WALTHER, AND M. KORZEC, Maintaining factorized KKT systems subject to rank-one updates of hessians and jacobians, Optim. Methods Softw., 22 (2007), pp. 279-295.
    • (2007) Optim. Methods Softw , vol.22 , pp. 279-295
    • GRIEWANK, A.1    WALTHER, A.2    KORZEC, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.