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Volumn 7, Issue 3, 1997, Pages 620-640

An infeasible-interior-point method for linear complementarity problems

Author keywords

Interior point methods; Linear complementarity

Indexed keywords


EID: 0031285894     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623495282882     Document Type: Article
Times cited : (18)

References (28)
  • 6
    • 0001546137 scopus 로고
    • A damped-newton method for the linear complementarity problem
    • Simulation and Optimization of Large Systems, G. Allgower and K. Georg, eds., American Mathematical Society, Providence, RI
    • P. HARKER AND J. PANG, A damped-Newton method for the linear complementarity problem, in Simulation and Optimization of Large Systems, G. Allgower and K. Georg, eds., Lectures in Applied Mathematics 26, American Mathematical Society, Providence, RI, 1990, pp. 265-284.
    • (1990) Lectures in Applied Mathematics , vol.26 , pp. 265-284
    • Harker, P.1    Pang, J.2
  • 9
    • 0027667652 scopus 로고
    • A primal-dual infeasible-interior-point algorithm for linear programming
    • M. KOJIMA, N. MEGIDDO, AND S. MIZUNO, A primal-dual infeasible-interior-point algorithm for linear programming, Math. Programming, 61 (1993), pp. 263-280.
    • (1993) Math. Programming , vol.61 , pp. 263-280
    • Kojima, M.1    Megiddo, N.2    Mizuno, S.3
  • 10
    • 0003212154 scopus 로고
    • A unified approach to interior point algorithms for linear complementarity problems
    • Springer-Verlag, Berlin, Germany
    • M. KOJIMA, N. MEGIDDO, T. NOMA, AND A. YOSHISE, A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems, Lecture Notes in Computer Science 538, Springer-Verlag, Berlin, Germany, 1991.
    • (1991) Lecture Notes in Computer Science , vol.538
    • Kojima, M.1    Megiddo, N.2    Noma, T.3    Yoshise, A.4
  • 11
    • 0028425243 scopus 로고
    • Global convergence in infeasible-interior-point algorithms
    • M. KOJIMA, T. NOMA, AND A. YOSHISE, Global convergence in infeasible-interior-point algorithms, Math. Programming, 65 (1994), pp. 43-72.
    • (1994) Math. Programming , vol.65 , pp. 43-72
    • Kojima, M.1    Noma, T.2    Yoshise, A.3
  • 12
    • 0001468941 scopus 로고
    • A theory of dynamic oligopoly, II: Price competition, kinked demand curves, and edgeworth cycles
    • E. MASKIN AND J. TIROLE, A theory of dynamic oligopoly, II: Price competition, kinked demand curves, and edgeworth cycles, Econometrica, 56 (1988), pp. 571-579.
    • (1988) Econometrica , vol.56 , pp. 571-579
    • Maskin, E.1    Tirole, J.2
  • 13
    • 58149365648 scopus 로고
    • A quadratically convergent o((1 + k) √nl)-iteration algorithm for the P*(k)-matrix linear complementarity problem
    • J. MIAO, A quadratically convergent O((1 + k) √nl)-iteration algorithm for the P*(k)-matrix linear complementarity problem, Math. Programming, 69 (1995), pp. 355-368.
    • (1995) Math. Programming , vol.69 , pp. 355-368
    • Miao, J.1
  • 14
    • 0028524565 scopus 로고
    • Polynomiality of infeasible-interior-point algorithms for linear programming
    • S. MIZUNO, Polynomiality of infeasible-interior-point algorithms for linear programming, Math. Programming, 67 (1994), pp. 109-119.
    • (1994) Math. Programming , vol.67 , pp. 109-119
    • Mizuno, S.1
  • 15
    • 0003199684 scopus 로고
    • Linear complementarity, linear and nonlinear programming
    • Heldermann Verlag, Berlin, Germany
    • K. G. MURTY, Linear Complementarity, Linear and Nonlinear Programming, Sigma Series in Applied Mathematics 3, Heldermann Verlag, Berlin, Germany, 1988.
    • (1988) Sigma Series in Applied Mathematics , vol.3
    • Murty, K.G.1
  • 16
    • 0003151816 scopus 로고
    • A parametric linear complementarity technique for the computation of equilibrium prices in a single commodity model
    • J.-S. PANG AND P. S. C. LEE, A parametric linear complementarity technique for the computation of equilibrium prices in a single commodity model, Math. Programming, 20 (1981), pp. 81-102.
    • (1981) Math. Programming , vol.20 , pp. 81-102
    • Pang, J.-S.1    Lee, P.S.C.2
  • 18
    • 85033078489 scopus 로고
    • A large-step infeasible-interior-point method for the P*(k)-matrix LCP
    • Department of Mathematics, The University of Iowa, Iowa City, IA
    • F. POTRA AND R. SHENG, A Large-Step Infeasible-Interior-Point Method for the P*(k)-Matrix LCP, Reports on Computational Mathematics 64, Department of Mathematics, The University of Iowa, Iowa City, IA, 1994.
    • (1994) Reports on Computational Mathematics , vol.64
    • Potra, F.1    Sheng, R.2
  • 19
    • 0028713181 scopus 로고
    • A quadratically convergent predictor-corrector method for solving linear programs from infeasible starting points
    • F. A. POTRA, A quadratically convergent predictor-corrector method for solving linear programs from infeasible starting points, Math. Programming, 67 (1994), pp. 383-406.
    • (1994) Math. Programming , vol.67 , pp. 383-406
    • Potra, F.A.1
  • 20
    • 0010831216 scopus 로고
    • Predictor-corrector algorithms for solving P*(k)-matrix LCP from arbitrary positive starting points
    • Department of Mathematics, The University of Iowa, Iowa City, IA
    • F. A. POTRA AND R. SHENG, Predictor-Corrector Algorithms for Solving P*(k)-Matrix LCP from Arbitrary Positive Starting Points, Reports on Computational Mathematics 58, Department of Mathematics, The University of Iowa, Iowa City, IA, 1994.
    • (1994) Reports on Computational Mathematics , vol.58
    • Potra, F.A.1    Sheng, R.2
  • 21
    • 0010833010 scopus 로고
    • A superlinearly convergent infeasible-interior-point algorithm for degenerate LCP
    • Department of Mathematics, The University of Iowa, Iowa City, IA
    • F. A. POTRA AND R. SHENG, A Superlinearly Convergent Infeasible-Interior-Point Algorithm for Degenerate LCP, Reports on Computational Mathematics 66, Department of Mathematics, The University of Iowa, Iowa City, IA, 1995.
    • (1995) Reports on Computational Mathematics , vol.66
    • Potra, F.A.1    Sheng, R.2
  • 22
    • 0003925999 scopus 로고
    • Computational experience with logarithmic barrier methods for linear and nonlinear complementarity problems
    • RUTCOR, New Brunswick, NJ
    • D. F. SHANNO, Computational Experience with Logarithmic Barrier Methods for Linear and Nonlinear Complementarity Problems, Rutcor Research report 18-93, RUTCOR, New Brunswick, NJ, 1993.
    • (1993) Rutcor Research Report 18-93
    • Shanno, D.F.1
  • 23
    • 0346793979 scopus 로고
    • Computing equilibria of oligopolistic pricing models
    • RUTCOR and Graduate School of Management, Rutgers University, New Brunswick, NJ
    • E. SIMANTIRAKI AND D. SHANNO, Computing Equilibria of Oligopolistic Pricing Models, Rutcor Research report 41-95, RUTCOR and Graduate School of Management, Rutgers University, New Brunswick, NJ, 1995.
    • (1995) Rutcor Research Report 41-95
    • Simantiraki, E.1    Shanno, D.2
  • 24
    • 0003647279 scopus 로고
    • An Infeasible-interior-point Algorithm for Solving Mixed Complementarity Problems
    • RUTCOR and Graduate School of Management, Rutgers University, New Brunswick, NJ
    • E. SIMANTIRAKI AND D. SHANNO, An Infeasible-Interior-Point Algorithm for Solving Mixed Complementarity Problems, Rutcor Research report 37-95, RUTCOR and Graduate School of Management, Rutgers University, New Brunswick, NJ, 1995.
    • (1995) Rutcor Research Report 37-95
    • Simantiraki, E.1    Shanno, D.2
  • 25
    • 0028525075 scopus 로고
    • An infeasible-interior-point algorithm for linear complementarity problems
    • S. J. WRIGHT, An infeasible-interior-point algorithm for linear complementarity problems, Math. Programming, 67 (1994), pp. 29-51.
    • (1994) Math. Programming , vol.67 , pp. 29-51
    • Wright, S.J.1
  • 26
    • 0003205456 scopus 로고
    • A further result on the potential reduction algorithm for the P-matrix linear complementarity problem
    • P.M. Pardalos, ed., Elsevier Science Publishers B.V., New York
    • Y. YE, A further result on the potential reduction algorithm for the P-matrix linear complementarity problem, in Advances in Optimization and Parallel Computing, P.M. Pardalos, ed., Elsevier Science Publishers B.V., New York, 1992, pp. 311-316.
    • (1992) Advances in Optimization and Parallel Computing , pp. 311-316
    • Ye, Y.1
  • 27
    • 0000252459 scopus 로고
    • On the convergence of a class of infeasible interior-point methods for the horizontal linear complementarity problem
    • Y. ZHANG, On the convergence of a class of infeasible interior-point methods for the horizontal linear complementarity problem, SIAM J. Optim., 4 (1994), pp. 208-227.
    • (1994) SIAM J. Optim. , vol.4 , pp. 208-227
    • Zhang, Y.1
  • 28
    • 0000153479 scopus 로고
    • A superlinearly convergent polynomial primal-dual interior-point algorithm for linear programming
    • Y. ZHANG AND R. A. TAPIA, A superlinearly convergent polynomial primal-dual interior-point algorithm for linear programming, SIAM J. Optim., 3 (1993), pp. 118-133.
    • (1993) SIAM J. Optim. , vol.3 , pp. 118-133
    • Zhang, Y.1    Tapia, R.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.