• International Journal of Automotive Technology
• /
• 제2권3호
• /
• pp.117-122
• /
• 2001

For a dynamic analysis of a constrained multibody system, it is necessary to have a routine for satisfying kinematic constraints. LU decomposition scheme, which is used to divide coordinates into dependent and independent coordinates, is efficient but has great difficulty near the singular configuration. Other method such as the projection matrix, which is more stable near a singular configuration, takes longer simulation time due to the large amount of calculation for decomposition. In this paper, the row space and the null space of the Jacobian matrix are proposed by using the pseudo-inverse method and the projection matrix. The equations of the motion of a system are replaced with independent acceleration components using the null space of the Jacobian matrix. Also a new hybrid method is proposed, combining the LU decomposition and the projection matrix. The proposed hybrid method has following advantages. (1) The simulation efficiency is preserved by the LU method during the simulation. (2) The accuracy of the solution is also achieved by the projection method near the singular configuration.

• 한국전산유체공학회:학술대회논문집
• /
• 한국전산유체공학회 2004년도 추계 학술대회논문집
• /
• pp.73-77
• /
• 2004

In the present study, an efficient and robust implicit operator for the LU-SGS method is proposed. Numerical experiments for supersonic flow are performed to demonstrate the performance of the proposed method.

• 한국경영과학회:학술대회논문집
• /
• 한국경영과학회 1998년도 추계학술대회 논문집
• /
• pp.63-66
• /
• 1998

In the implementation of the simplex method program, the representation and the maintenance of basis matrix is very important, In the experimental study, we investigates Suhl's idea in the LU factorization and LU update of basis matrix. First, the triangularization of basis matrix is implemented and its efficiency is shown. Second, various technique in the dynamic Markowitz's ordering and threshold pivoting are presented. Third, modified Forrest-Tomlin LU update method exploiting sparsity is presented. Fourth, as a storage scheme of LU factors, Gustavson data structure is explained. Fifth, efficient timing of reinversion is developed. Finally, we show that modified Forrest-Tomlin method with Gustavson data structure is superior more than 30% to the Reid method with linked list data structure.

• 한국국방경영분석학회지
• /
• 제29권1호
• /
• pp.28-42
• /
• 2003

The simplex method requires basis update in each iteration, which is the most time consuming process. Several methods have been developed for the update of basis which is represented in LU factorized form, such as Bartels-Golub's method, Forrest-Tomlin's method, Reid's method, Saunders's method, etc. In this research, we compare between the updating methods in terms of sparsity, data structure and computing time issues. The analysis is mainly based on the computational experience.

• 경영과학
• /
• 제15권1호
• /
• pp.49-62
• /
• 1998

The purpose of this paper is to develope a large-scale simplex method program LPAKO. Various up-to-date techniques are argued and implemented. In LPAKO, basis matrices are stored in a LU factorized form, and Reid's method is used to update LU maintaining high sparsity and numerical stability, and further Markowitz's ordering is used in factorizing a basis matrix into a sparse LU form. As the data structures of basis matrix, Gustavson's data structure and row-column linked list structure are considered. The various criteria for reinversion are also discussed. The dynamic steepest-edge simplex algorithm is used for selection of an entering variable, and a new variation of the MINOS' perturbation technique is suggested for the resolution of degeneracy. Many preprocessing and scaling techniques are implemented. In addition, a new, effective initial basis construction method are suggested, and the criteria for optimality and infeasibility are suggested respectively. Finally, LPAKO is compared with MINOS by test results.

• 비교문화연구
• /
• 제37권
• /
• pp.81-107
• /
• 2014

Freud's' discovery of the unconscious' is a great revolution. Because of this, human beings were able to get the opportunity to look into their inner than honest. Lu Xun and Guo Mo Ruo a pair of realism and romanticism literature representative of Chinese modern literature writers. They then absorb the psychoanalytic theory o Freud along with other Western zeitgeist, introduce them widely inliterary theory and creative practice, which was again. Lu Xun was reflected in the human world of the unconscious Freud uncovered on the basis of strict realism literary spirit, Guo Mo Ruo is in accordance with the romantic literary time for the purpose of 'art for art' depicting a man's inner psychological well did. Although Freud spirit they claim to social and literary artistry of literature based on different yarns in the Acceptance of analytical theory, has the characteristics of a common sentiment analysis method to express and describe the unconscious human potential. 5.4 When Lu Xun and Guo Mo Ruo China Journalism writers, including Freud's psychoanalytic theory has embraced the Enlightenment and the old feudal society was a major contribution to want to read exactly what the human inner hearing. Chinese modern literature writers have to accept sometimes positive, sometimes accepting the psychoanalytic theory was intellectually sharp criticism, which could be a great instrument in time to the 5.4 Enlightenment and psychological fiction novel further development.

• 방사선산업학회지
• /
• 제7권2_3호
• /
• pp.191-200
• /
• 2013

In this study, a novel bombesin (BBN) analogues, DOTA-Ala($SO_3H$)-4 aminobenzoyl-Gln-Trp-Ala-Val-Gly-His-Leu-Met-$NH_2$ (DOTA-sBBN) and DOTA-Lys(glucose)-4 aminobenzoyl-Gln-Trp-Ala-Val-Gly-His-Leu-Met-$NH_2$ (DOTA-gluBBN), were synthesized and radiolabeled, and their binding affinities were evaluated. Peptides were prepared by a solid phase synthesis method and their purities were over 98%. DOTA is the chelating agent for $^{177}Lu$-labeling, and the DOTA-conjugated peptides were radiolabeled with $^{177}Lu$ by a high radiolabeling yield (>98%). The Log P values of DOTA-sBBN and DOTA-gluBBN were -2.20 and -2.79, respectively. 50.41% of $^{177}Lu$-DOTA-sBBN and 72.97% of $^{177}Lu$-DOTA-gluBBN were left undegraded by the serum incubation at $37^{\circ}C$ for 48 hr. A competitive displacement of $^{125}I-[Tyr^4]$-BBN on the PC-3 human prostate carcinoma cells revealed that 50% inhibitory concentration ($IC_{50}$) were 1.46 nM of DOTA-sBBN and 4.67 nM of DOTA-gluBBN indicating a highly nanomolar binding affinity for GRPR. Therefore, it is concluded that $^{177}Lu$-DOTA-sBBN and $^{177}Lu$-DOTA-gluBBN can be potential candidates as a targeting modality for the Gastrin-releasing peptide receptor (GRPR)-over-expressing tumors, and further studies to evaluate their biological and pharmacological characteristics are needed.

• 한국지하수토양환경학회지:지하수토양환경
• /
• 제13권6호
• /
• pp.50-61
• /
• 2008

본 연구를 통해서 율러리안-라그랑지안 방법(ELM)의 본질적인 문제점인 입자추적오차에 의해 발생되는 질량오차를 최소화하기 위해서, 새로운 통합 입자 추적 방법이 개발되었다. 새로운 통합입자 추적 방법은 시간 간격 내에서 시공간의 속도변화를 동시에 고려한 수치 해석적 방법, 준해석적 방법, 그리고 해석적 방법을 결합시킨 것이다. 수치 해석적 방법, 준해석적 방법, 그리고 해석적 방법의 수학적 유도를 자세히 나타내었고, 네 가지 예제를 만들어서 개발된 통합입자추적방법을 해석해 및 4차 룬지쿠타 방법과의 비교를 통해서 검증하였을 뿐만 아니라 기존의 입자추적방법인 Lu의 방법과 비교를 통해서 우수성을 보였다.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2000년도 하계학술대회 논문집 A
• /
• pp.274-275
• /
• 2000

This paper introduces new ordering algorithms using the graph of data structure and forward/backward substitution of LU decomposition using recursive function. The performance of the algorithm is compared with Tinney's algorithm using 14 bus systems. Test results show that the new fill-in element of Jacobian matrix using the proposed ordering algorithm is same as that of Tinner scheme 3 and the forward/backward substitution can reduce the computation time

• Korean Journal of Mathematics
• /
• 제16권1호
• /
• pp.1-24
• /
• 2008

Let $Lu=u_{tt}+u_{xxxx}$ and E be the complete normed space spanned by the eigenfunctions of L. We reveal the existence of six nontrivial solutions of a nonlinear suspension bridge equation $Lu+bu^+=1+{\epsilon}h(x,t)$ in E when the nonlinearity crosses three eigenvalues. It is shown by the critical point theory induced from the limit relative category of the torus with three holes and finite dimensional reduction method.