메뉴 건너뛰기




Volumn 152, Issue 1, 2007, Pages 319-339

Parallel interior-point solver for structured quadratic programs: Application to financial planning problems

Author keywords

Interior point methods; Portfolio optimization; Stochastic programming; Structure exploitation

Indexed keywords


EID: 33847419245     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1007/s10479-006-0139-z     Document Type: Article
Times cited : (53)

References (35)
  • 1
    • 0000728112 scopus 로고    scopus 로고
    • Implementation of Interior Point Methods for Large Scale Linear Programming
    • T. Terlaky ed, Kluwer Academic Publishers
    • Andersen, E.D., J. Gondzio, C. Mészáros, and X. Xu. (1996). "Implementation of Interior Point Methods for Large Scale Linear Programming." In T. Terlaky (ed.), Interior Point Methods in Mathematical Programming. pp. 189-252 Kluwer Academic Publishers.
    • (1996) Interior Point Methods in Mathematical Programming , pp. 189-252
    • Andersen, E.D.1    Gondzio, J.2    Mészáros, C.3    Xu, X.4
  • 2
    • 0011789931 scopus 로고    scopus 로고
    • TAO Users Manual
    • Technical Report ANL/MCS-TM-249, Argonne National Laboratory
    • Benson, S., L.C. McInnes, and J.J. Moré. (2001). "TAO Users Manual." Technical Report ANL/MCS-TM-249, Argonne National Laboratory.
    • (2001)
    • Benson, S.1    McInnes, L.C.2    Moré, J.J.3
  • 3
    • 0022129190 scopus 로고
    • Decomposition and Partitioning Methods for Multistage Stochastic Linear Programs
    • Birge, J.R. (1985). "Decomposition and Partitioning Methods for Multistage Stochastic Linear Programs." Operations Research, 33, 989-1007.
    • (1985) Operations Research , vol.33 , pp. 989-1007
    • Birge, J.R.1
  • 4
    • 0001238788 scopus 로고
    • Computing Block-Angular Karmarkar Projections with Applications to Stochastic Programming
    • Birge, J.R. and L. Qi. (1988). "Computing Block-Angular Karmarkar Projections with Applications to Stochastic Programming." Management Science, 34(12), 1472-1479.
    • (1988) Management Science , vol.34 , Issue.12 , pp. 1472-1479
    • Birge, J.R.1    Qi, L.2
  • 5
    • 0036883837 scopus 로고    scopus 로고
    • ARiccati-Based Primal Interior Point Solver for Multistage Stochastic Programming
    • Blomvall, J. and P.O. Lindberg. (2002a). "ARiccati-Based Primal Interior Point Solver for Multistage Stochastic Programming." European Journal of Operational Research, 143, 452-461.
    • (2002) European Journal of Operational Research , vol.143 , pp. 452-461
    • Blomvall, J.1    Lindberg, P.O.2
  • 6
    • 0036592203 scopus 로고    scopus 로고
    • ARiccati-Based Primal Interior Point Solver for Multistage Stochastic Programming-Extensions
    • Blomvall, J. and P.O. Lindberg. (2002b). "ARiccati-Based Primal Interior Point Solver for Multistage Stochastic Programming-Extensions." Optimization Methods and Software, 17(3), 383-407.
    • (2002) Optimization Methods and Software , vol.17 , Issue.3 , pp. 383-407
    • Blomvall, J.1    Lindberg, P.O.2
  • 7
    • 0000936972 scopus 로고
    • A Dynamic Model for Bond Portfolio Management
    • Bradley, S. and D. Crane. (1972). "A Dynamic Model for Bond Portfolio Management." Management Science, 19, 139-151.
    • (1972) Management Science , vol.19 , pp. 139-151
    • Bradley, S.1    Crane, D.2
  • 8
    • 0015200767 scopus 로고
    • Direct Methods for Solving Symemtric Indefinite Systems of Linear Equations
    • Bunch, J.R. and B.N. Parlett. (1971). "Direct Methods for Solving Symemtric Indefinite Systems of Linear Equations." SIAM Journal on Numerical Analysis, 8, 639-655.
    • (1971) SIAM Journal on Numerical Analysis , vol.8 , pp. 639-655
    • Bunch, J.R.1    Parlett, B.N.2
  • 9
    • 0002341731 scopus 로고
    • The Russel-Yasuda Kasai model: An Asset/liability Model for Japanese Insurance Company Using Multistage Stochastic Programming
    • Cariño, D., T. Kent, D. Myers, C. Stacy, M. Sylvanus, A. Turner, K. Watanabe, and W. Ziemba. (1994). "The Russel-Yasuda Kasai model: An Asset/liability Model for Japanese Insurance Company Using Multistage Stochastic Programming." Interfaces, 24(1), 29-49.
    • (1994) Interfaces , vol.24 , Issue.1 , pp. 29-49
    • Cariño, D.1    Kent, T.2    Myers, D.3    Stacy, C.4    Sylvanus, M.5    Turner, A.6    Watanabe, K.7    Ziemba, W.8
  • 10
    • 0032385885 scopus 로고    scopus 로고
    • Dynamic Stochastic Programming for Asset-Liability Management
    • Consigli, G. and M. Dempster. (1998). "Dynamic Stochastic Programming for Asset-Liability Management." Annals of Operations Research, 81, 131-162.
    • (1998) Annals of Operations Research , vol.81 , pp. 131-162
    • Consigli, G.1    Dempster, M.2
  • 13
    • 0040531891 scopus 로고    scopus 로고
    • Partitioning Mathematical Programs for Parallel Solution
    • Ferris, M.C. and D.J. Horn. (1998). "Partitioning Mathematical Programs for Parallel Solution." Mathematical Programming, 80, 35-62.
    • (1998) Mathematical Programming , vol.80 , pp. 35-62
    • Ferris, M.C.1    Horn, D.J.2
  • 14
    • 34249957971 scopus 로고
    • MSLiP: A Computer Code for the Multistage Stochastic Linear Programming Problems
    • Gassmann, H.I. (1990). "MSLiP: A Computer Code for the Multistage Stochastic Linear Programming Problems." Mathematical Programming, 47, 407-423.
    • (1990) Mathematical Programming , vol.47 , pp. 407-423
    • Gassmann, H.I.1
  • 16
    • 0030242781 scopus 로고    scopus 로고
    • Multiple Centrality Corrections in a Primal-Dual Method for Linear Programming
    • Gondzio, J. (1996). "Multiple Centrality Corrections in a Primal-Dual Method for Linear Programming." Computational Optimization and Applications, 6, 137-156.
    • (1996) Computational Optimization and Applications , vol.6 , pp. 137-156
    • Gondzio, J.1
  • 17
    • 0042659381 scopus 로고    scopus 로고
    • Reoptimization with the Primal-Dual Interior Point Method
    • Gondzio, J. and A. Grothey. (2003). "Reoptimization with the Primal-Dual Interior Point Method." SIAM Journal on Optimization, 13(3), 842-864.
    • (2003) SIAM Journal on Optimization , vol.13 , Issue.3 , pp. 842-864
    • Gondzio, J.1    Grothey, A.2
  • 18
    • 0035521450 scopus 로고    scopus 로고
    • High Performance Computing for Asset Liability Management
    • Gondzio, J. and R. Kouwenberg. (2001). "High Performance Computing for Asset Liability Management." Operations Research, 49(6), 879-891.
    • (2001) Operations Research , vol.49 , Issue.6 , pp. 879-891
    • Gondzio, J.1    Kouwenberg, R.2
  • 19
    • 13544254921 scopus 로고    scopus 로고
    • Parallel Interior Point Solver for Structured Linear Programs
    • Gondzio, J. and R. Sarkissian. (2003). "Parallel Interior Point Solver for Structured Linear Programs." Mathematical Programming, 96(3), 561-584.
    • (2003) Mathematical Programming , vol.96 , Issue.3 , pp. 561-584
    • Gondzio, J.1    Sarkissian, R.2
  • 20
    • 0035743517 scopus 로고    scopus 로고
    • Parallel Interior Point Schemes for Solving Multistage Convex Programming
    • Hegland, M., M.R. Osborne, and J. Sun. (2002). "Parallel Interior Point Schemes for Solving Multistage Convex Programming." Annals of Operations Research, 108, 75-85.
    • (2002) Annals of Operations Research , vol.108 , pp. 75-85
    • Hegland, M.1    Osborne, M.R.2    Sun, J.3
  • 22
    • 0000767584 scopus 로고
    • Parallel Factorization of Structured Matrices Arising in Stochastic Programming
    • Jessup, E.R., D. Yang, and S.A. Zenios. (1994). "Parallel Factorization of Structured Matrices Arising in Stochastic Programming." SIAM Journal on Optimization, 4(4), 833-846.
    • (1994) SIAM Journal on Optimization , vol.4 , Issue.4 , pp. 833-846
    • Jessup, E.R.1    Yang, D.2    Zenios, S.A.3
  • 23
    • 0022715033 scopus 로고
    • A Bank Asset and Liability Model
    • Kusy, M. and W. Ziemba. (1986). "A Bank Asset and Liability Model." Operations Research, 34, 356-376.
    • (1986) Operations Research , vol.34 , pp. 356-376
    • Kusy, M.1    Ziemba, W.2
  • 24
    • 0037319402 scopus 로고    scopus 로고
    • Decomposition Algorithms for Stochastic Programming on a Computational Grid
    • Linderoth, J. and S.J. Wright. (2003). "Decomposition Algorithms for Stochastic Programming on a Computational Grid." Computational Optimization and Applications, 24(2/3), 207-250.
    • (2003) Computational Optimization and Applications , vol.24 , Issue.2-3 , pp. 207-250
    • Linderoth, J.1    Wright, S.J.2
  • 25
    • 0041148239 scopus 로고
    • OPT++:AnObject-Oriented Class Library for Nonlinear Optimization
    • Technical Report SAND94-8225, Sandia National Laboratories
    • Meza, J.C. (1994). "OPT++:AnObject-Oriented Class Library for Nonlinear Optimization." Technical Report SAND94-8225, Sandia National Laboratories.
    • (1994)
    • Meza, J.C.1
  • 26
    • 0000114960 scopus 로고
    • Stochastic Network Programming for Financial Planning Problems
    • Mulvey, J. and H. Vladimirou. (1992). "Stochastic Network Programming for Financial Planning Problems, Management Science, 38, 1643-1664.
    • (1992) Management Science , vol.38 , pp. 1643-1664
    • Mulvey, J.1    Vladimirou, H.2
  • 27
    • 84873011840 scopus 로고    scopus 로고
    • Parpas, P. and B. Rustem. (2003). Decomposition of Multistage Stochastic Quadratic Problems in Financial Engineering. Technical report, Department of Computing, Imperial College. Presented at the International Workshop on Comutational Management Science, Economics, Finance and Engineering, Cyprus, 28-30 March, 2003.
    • Parpas, P. and B. Rustem. (2003). "Decomposition of Multistage Stochastic Quadratic Problems in Financial Engineering." Technical report, Department of Computing, Imperial College. Presented at the International Workshop on Comutational Management Science, Economics, Finance and Engineering, Cyprus, 28-30 March, 2003.
  • 28
    • 0022751475 scopus 로고
    • A Regularized Decomposition Method for Minimizing a Sum of Polyhedral Functions
    • Ruszczyński, A. (1985). "A Regularized Decomposition Method for Minimizing a Sum of Polyhedral Functions." Mathematical Programming, 33, 309-333.
    • (1985) Mathematical Programming , vol.33 , pp. 309-333
    • Ruszczyński, A.1
  • 29
    • 0005000705 scopus 로고    scopus 로고
    • Hierarchical Sparsity in Multistage Convex Stochastic Programs
    • S. Uryasev and P.M. Pardalos Eds, Kluwer Academic Publishers
    • Steinbach, M. (2000). "Hierarchical Sparsity in Multistage Convex Stochastic Programs." In S. Uryasev and P.M. Pardalos (Eds.), Stochastic Optimization: Algorithms and Applications. pp. 363-388 Kluwer Academic Publishers.
    • (2000) Stochastic Optimization: Algorithms and Applications , pp. 363-388
    • Steinbach, M.1
  • 30
    • 0035271732 scopus 로고    scopus 로고
    • Markowitz Revisited: Mean Variance Models in Financial Portfolio Analysis
    • Steinbach, M. (2001). "Markowitz Revisited: Mean Variance Models in Financial Portfolio Analysis." SIAM Review, 43(1), 31-85.
    • (2001) SIAM Review , vol.43 , Issue.1 , pp. 31-85
    • Steinbach, M.1
  • 31
  • 32
    • 0042285076 scopus 로고    scopus 로고
    • Scalable Parallel Computations for Large-Scale Stochastic Programming
    • Vladimirou, H. and S.A. Zenios. (1999). "Scalable Parallel Computations for Large-Scale Stochastic Programming." Annals of Operations Research, 90, 87-129.
    • (1999) Annals of Operations Research , vol.90 , pp. 87-129
    • Vladimirou, H.1    Zenios, S.A.2
  • 34
    • 21844517010 scopus 로고
    • Asset/liability Management Under Uncertainty for Fixed-Income Securities
    • Zenios, S. (1995). "Asset/liability Management Under Uncertainty for Fixed-Income Securities." Annals of Operations Research, 59, 77-97.
    • (1995) Annals of Operations Research , vol.59 , pp. 77-97
    • Zenios, S.1
  • 35


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.