1 |
박순달, 김우제, 설동렬, 박찬규, 성명기, 임성묵, ‘고등선형계획법’,초판, 교우사,2001
|
2 |
Andersen, E.D., J. Gondzio, C. Meszaros and X. Xu, 'Implementation of interior point methods for large scale linear programming,' Interior Point Methods in Mathematical Programming, T. Terlaky (ed.), Kluwer Academic Pub., 1996
|
3 |
Duff, I.S. and J. Reid, 'Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems,' ACM TOMS, Vol.22, Issue 2(1996), pp, 227-257
|
4 |
Duff, I.S., N. Gould, J. Reid, J. Scott, K. Turner, 'The factorization of sparse symmetric indefinite matrices,' IMA J. Numer. Anal., Vol.11(1991), pp.181-204
|
5 |
Gondzio, J, 'Implementing Cholesky factorization for interior point methods of linear programming,' Optimization, Vol.27(1993), pp.121-140
|
6 |
Liu, J, 'Modification of the minimum-degree algorithm by multiple elimination,' ACM TOMS, Vol.11, Issue 2(1985), pp.141-153
|
7 |
Meszaros, C., 'The augmented sywstem variant of IPMs in two-stage stochastic linear programming computation,' EJOR, Vol.101, No.2(1997), pp.317-327
DOI
ScienceOn
|
8 |
Vanderbei, R. and T. Carpenter, 'Symmetric indefinite systems for interior-point methods,' Math Prog., Vol.58, No.l (1993), pp.1-32
|
9 |
Zhang, Y, 'Solving large-scale linear programs by interior-point methods under the MATLAB Environment,' Optimization Methods and Software, Vol.10(1998), pp.1-31
|
10 |
Seol, T. and S. Park, 'Solving linear systems in interior-point methods,' Computers & Operations Research, Vol.28, No.4 (2002), pp.317-326
|
11 |
George, A. and J. Liu, Computer Solution of Large Sparse Positive Definie Systems, Prentice Hall Inc., Englewood Cliffs, New Jersey, 1981
|
12 |
Gay, D.M., 'Electronic mail distribution of linear programming test problems,' Mathematical Programming Society Committee on Algorithms Newsletter, No.13(1985), pp.10-12
|
13 |
Saunders, M. and J. Tomlin, 'Solving regularized linear programs using barrier methods and KKT systems,' Report SOL 96-4 Dept. of EESOR, Stanford Univ., 1996
|
14 |
도승용, 성명기, 박순달, '내부점 방법에서 augmented system의 출레스키 분해','한국경 영과학회지', 제28권, 제1호(2003), pp.51-61
|
15 |
설동렬,정호원,박순달,‘내부정방법을 위한 초마디 열출레스키 분해의 실험적 고찰' ’경영과학‘,제15권,제1호(1998),pp.87-96
|
16 |
Vanderbei, R., 'Symmetric Quasidefinite Matrices,' SIAM J. Opt., Vol.5, No.1(1995), pp.100-113
DOI
|
17 |
Maros, I. and C. Meszaros, 'The role of the augmented system in interior point methods,' EJOR, Vol.107(1998), pp.720-736
|
18 |
Fourer, R. and S. Mehrotra, 'Solving symmetric indefinite systems in an interiorpoint method for linear programming,' Math Prog., Vol.62, No.1(1993), pp.15-39
DOI
ScienceOn
|
19 |
설동렬,도승용,박순달,‘내부점 방법에서 밀집열 처리에 관한 연구 - Schur 상보법의 효율적인 구현', ’한국경영과학회 ’98 추계학술대회 논문집‘(1998),pp.67-70
|
20 |
Meszaros, C., 'Fast Cholesky factorization for interior point methods of linear programming,' Comp. Math Appl., Vol.31, NO.4 (1996), pp.49-51
|
21 |
Anderson, E., Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A Greenbaum, S. Hammarling, A McKenney, and D. Sorensen, LAPACK User's Guide(http://www.netlib.org/lapack/lug/lapack.lug.html), Third Edition, SIAM, Philadelphia, 1999
|
22 |
Gilbert, J, C. Moler and R. Schreiber, 'Sparse Matrices in MATLAB : design and implementation,' SIAM Journal on Matrix Analysis and Applications, Vol.13(1992), pp.333-356
|
23 |
Zhu, X., J. Peng, T. Terlaky and G. Zhang, 'On implementing self-regular proximity based feasible IPMs,' AdvOI-Report# 2004/ 3, 2004
|
24 |
Park, C.K., S. Doh, S. Park and W. Kim, 'A minimum degree ordering algorithm using the lower and upper bounds of degrees,' Int. Journal of Management Science, Vol. 8, No.l(2002), pp.1-19
|
25 |
Esmond, N. and B. Peyton, 'Block sparse Cholesky algorithms on advanced uniprocessor computers,' Technical Report ORNL/TM-11960, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 1991
|
26 |
Peng, J., C. Roos and T. Terlaky, Self-Regularity : A New Paradigm for Primal-Dual Interior-Point Algorithms, Princeton University Press, Princeton, New jessy, 2002
|
27 |
Duff, I.S., A. Erisman and J. Reid, Direct Methods for Sparse Matrices, Monographs on Numerical Analysis, Clarendon Press, Oxford, 1986
|
28 |
Meszaros, C., 'On a property of the Cholesky factorization and its consequences in interior point methods,' WP 98-7 Laboratory of Operations Research and Decision Systems Hungarian Academy of Sciences, 1998
|
29 |
Altman, A. and J. Gondzio, 'Regularized symmetric indefinite systems in interior point methods for linear and quadratic optimization,' Optimization Methods and Software, Vol.11-12(1999), pp.275-302
|