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내부점 방법에서 Augmented System의 촐레스키 분해
도승용,성명기,박순달 한국경영과학회 2003 한국경영과학회지 Vol.28 No.1
In the normal equations approach in which the ordering and factorization phases are separated, the factorization in the augmented system approach is computed dynamically. This means that in the augmented system the numerical factorization should be performed to obtain the non-zero structure of Cholesky factor L. This causes much time to set up the non-zero structure of Cholesky factor L. So we present a method which can separate the ordering and numerical factorization in the augmented system. Experimental results show that the proposed method reduces the time for obtaining the non-zero structure of Cholesky factor L.
도승용,박찬규,이상욱,박순달 한국경영과학회 2003 한국경영과학회 학술대회논문집 Vol.- No.1(1)
For fast Cholesky factorization, it is most important to reduce the number of non-zero elements by ordering methods. Minimum deficiency ordering produces less non-zero elements. However, since it is very slow. the minimum degree algorithm is widely used. To improve the computation time, Rothberg's AMF uses an approximate deficiency instead of computing the deficiency. In this paper we present simple efficient methods to obtain a good approximate deficiency using information related to cliques. Experimental results show that our proposed method produces better ordering quality than that of AMF.
박순달,임성목,도승용,이승석,김호동 한국경영과학회 2002 經營 科學 Vol.19 No.1
ORED is a Web-Based educational system for operations research. It consists of operation research theories, help system for theories, cases, application programs and management system. Users can study theories and cases through HTML documents and solve problems with java applet and servelet programs. The help system provides users with detailed explanations of theories. And the management system provides the administrator with efficient tools necessary for managing the ORED in the Web.