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Volumn 72, Issue 2, 2009, Pages 998-1009

On the computation of an element of Clarke generalized Jacobian for a vector-valued max function

Author keywords

Clarke generalized Jacobian; Max function

Indexed keywords

CLARKE GENERALIZED JACOBIAN; COMPUTATIONAL COSTS; GENERALIZED JACOBIAN; VECTOR VALUED;

EID: 71749084620     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.07.040     Document Type: Article
Times cited : (6)

References (26)
  • 1
    • 0035416378 scopus 로고    scopus 로고
    • Calculating an element of B-differential for a vector-valued maximum function
    • Gao Y. Calculating an element of B-differential for a vector-valued maximum function. Numerical Functional Analysis and Optimization 22 (2001) 561-575
    • (2001) Numerical Functional Analysis and Optimization , vol.22 , pp. 561-575
    • Gao, Y.1
  • 2
    • 0000607524 scopus 로고
    • Convergence analysis of some algorithms for solving nonsmooth equations
    • Qi L.Q. Convergence analysis of some algorithms for solving nonsmooth equations. Mathematics of Operations Research 18 (1993) 227-244
    • (1993) Mathematics of Operations Research , vol.18 , pp. 227-244
    • Qi, L.Q.1
  • 4
    • 0030134439 scopus 로고    scopus 로고
    • Piecewise smoothness, local invertibility, and parametric analysis of normal maps
    • Pang J.S., and Ralph D. Piecewise smoothness, local invertibility, and parametric analysis of normal maps. Mathematics of Operations Research 21 (1996) 401-426
    • (1996) Mathematics of Operations Research , vol.21 , pp. 401-426
    • Pang, J.S.1    Ralph, D.2
  • 5
    • 0043189808 scopus 로고    scopus 로고
    • A semismooth equation approach to the solution of nonlinear complementarity problems
    • De Luca T., Facchinei F., and Kanzow C. A semismooth equation approach to the solution of nonlinear complementarity problems. Mathematical Programming 75 (1996) 407-439
    • (1996) Mathematical Programming , vol.75 , pp. 407-439
    • De Luca, T.1    Facchinei, F.2    Kanzow, C.3
  • 6
    • 0034229670 scopus 로고    scopus 로고
    • A theoretical and numerical comparison of some semismooth algorithms for complementarity problems
    • De Luca T., Facchinei F., and Kanzow C. A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Computational Optimization and Applications 16 (2000) 173-205
    • (2000) Computational Optimization and Applications , vol.16 , pp. 173-205
    • De Luca, T.1    Facchinei, F.2    Kanzow, C.3
  • 7
    • 0035668124 scopus 로고    scopus 로고
    • Newton methods for solving nonsmooth equations via a new subdifferential
    • Gao Y. Newton methods for solving nonsmooth equations via a new subdifferential. Mathematical Methods of Operations Research 54 (2001) 239-257
    • (2001) Mathematical Methods of Operations Research , vol.54 , pp. 239-257
    • Gao, Y.1
  • 8
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • Harker P.T., and Pang J.S. Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Mathematical Programming 48 (1990) 161-220
    • (1990) Mathematical Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 9
    • 34249962655 scopus 로고
    • Newton's method for the nonlinear complementarity problem: A B-differentiable equation approach
    • Harker P.T., and Xiao B. Newton's method for the nonlinear complementarity problem: A B-differentiable equation approach. Mathematical Programming 48 (1990) 339-357
    • (1990) Mathematical Programming , vol.48 , pp. 339-357
    • Harker, P.T.1    Xiao, B.2
  • 10
    • 0003451932 scopus 로고
    • Springer-Verlag, Berlin
    • Isac G. Complementarity Problems. Lecture Notes in Mathematics vol. 1528 (1992), Springer-Verlag, Berlin
    • (1992) Lecture Notes in Mathematics , vol.1528
    • Isac, G.1
  • 11
    • 0030736633 scopus 로고    scopus 로고
    • A new nonsmooth equations approach to nonlinear complementarity problems
    • Jiang H., and Qi L. A new nonsmooth equations approach to nonlinear complementarity problems. SIAM Journal on Control and Optimization 35 (1997) 178-193
    • (1997) SIAM Journal on Control and Optimization , vol.35 , pp. 178-193
    • Jiang, H.1    Qi, L.2
  • 13
    • 0026185912 scopus 로고
    • A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems
    • Pang J.S. A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems. Mathematical Programming 51 (1991) 101-131
    • (1991) Mathematical Programming , vol.51 , pp. 101-131
    • Pang, J.S.1
  • 14
    • 34250083447 scopus 로고
    • NE/SQP: A robust algorithm for the nonlinear complementarity problem
    • Pang J.S., and Gabriel S.A. NE/SQP: A robust algorithm for the nonlinear complementarity problem. Mathematical Programming 60 (1993) 295-337
    • (1993) Mathematical Programming , vol.60 , pp. 295-337
    • Pang, J.S.1    Gabriel, S.A.2
  • 15
    • 0027543961 scopus 로고
    • A nonsmooth version of Newton's method
    • Qi L.Q., and Sun J. A nonsmooth version of Newton's method. Mathematical Programming 58 (1993) 353-367
    • (1993) Mathematical Programming , vol.58 , pp. 353-367
    • Qi, L.Q.1    Sun, J.2
  • 16
    • 56049083955 scopus 로고    scopus 로고
    • Convergence analysis of nonsmooth equations for the general nonlinear complementarity problem
    • Du S.Q., and Gao Y. Convergence analysis of nonsmooth equations for the general nonlinear complementarity problem. Nonlinear Analysis TMA 70 (2009) 764-771
    • (2009) Nonlinear Analysis TMA , vol.70 , pp. 764-771
    • Du, S.Q.1    Gao, Y.2
  • 17
    • 33645743874 scopus 로고    scopus 로고
    • An approximate Newton method for non-smooth equations with finite max functions
    • Śmietański M.J. An approximate Newton method for non-smooth equations with finite max functions. Numerical Algorithms 41 (2006) 219-238
    • (2006) Numerical Algorithms , vol.41 , pp. 219-238
    • Śmietański, M.J.1
  • 20
    • 0036462808 scopus 로고    scopus 로고
    • Survey of bundle methods for nonsmooth optimization
    • Mäkelä M.M. Survey of bundle methods for nonsmooth optimization. Optimization Methods & Software 17 (2002) 1-29
    • (2002) Optimization Methods & Software , vol.17 , pp. 1-29
    • Mäkelä, M.M.1
  • 21
    • 0036255350 scopus 로고    scopus 로고
    • Smoothing functions and smoothing newton method for complementarity and variational inequality problems
    • Qi L.Q., and Sun D. Smoothing functions and smoothing newton method for complementarity and variational inequality problems. Journal of Optimization Theory and Applications 113 (2002) 121-147
    • (2002) Journal of Optimization Theory and Applications , vol.113 , pp. 121-147
    • Qi, L.Q.1    Sun, D.2
  • 23
    • 0030678841 scopus 로고    scopus 로고
    • A verification method for solutions of nonsmooth equations
    • Chen X. A verification method for solutions of nonsmooth equations. Computing 58 (1997) 281-294
    • (1997) Computing , vol.58 , pp. 281-294
    • Chen, X.1
  • 25
    • 84866799150 scopus 로고    scopus 로고
    • A non-interior continuation method for generalized linear complementarity problem
    • Peng J.M., and Lin Z.H. A non-interior continuation method for generalized linear complementarity problem. Mathematical Programming 86 (1999) 333-556
    • (1999) Mathematical Programming , vol.86 , pp. 333-556
    • Peng, J.M.1    Lin, Z.H.2
  • 26
    • 71749121659 scopus 로고    scopus 로고
    • A smooth algorithm for vertical linear complementarity problems
    • Wang H., and U L.J. A smooth algorithm for vertical linear complementarity problems. Mathematica Numerica Sinica 31 (2009) 1-14
    • (2009) Mathematica Numerica Sinica , vol.31 , pp. 1-14
    • Wang, H.1    U, L.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.