|
|
|
| A Matrix Column-Transform Solution-Decision Method for the System of Linear Inequalities |
| LIU Dao-Jian-1, 2 , HUANG Tian-Min-1 |
| (1.School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610036, China; 2.School of Mathematics and Computing Science, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China) |
|
|
|
|
Abstract With a view to more efficiently solving system of linear inequalities, a special matrix, imposed basis-point transition matrix, was given together with a special negative pivoting iteration operation, by which it can be better displayed that system of linear inequalities has both linear feature and geometric-plane feature. Moreover, based on the above platform, a new solution-decision method for system of linear inequalities was proposed. With the help of this new method, the solutiondecision process of system of linear inequalities can be changed into a series of elementary column transformations of matrixes. So, this method not only works fast and simply but also can be more easily translated into programs and more efficiently accomplished on computers. In addition, a simplex locally ε regularized method was proposed so as to overcome the bad effect coming from vertex degeneration, to the vertex transition iteration processes.
|
|
Received: 26 March 2012
Published: 30 October 2012
|
|
|
|
|
|
| [1] |
JIANG Dong-Dong, HONG Fang-Jun, ZHENG Ping. Droplet Oscillations under AC Electrowetting[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 513-518. |
| [2] |
HUANG Xiang-Long, ZHANG Xiao-Jing, BAI Guo-Juan, XU Wu, WANG Hai. Residual Strength Analysis of Thin-Walled Structures with Multiple Site Damage Based on Crack Tip Opening Angle Method[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 519-524. |
| [3] |
LIU Yi-Peng, HU Xue-Yu, CHEN Jia-Luo, WANG Ping-Yang, DU Chao-Hui. Direct Image Correction Algorithm for PIV Measurement of Flowfield within Circular Tube[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 525-532. |
| [4] |
ZHU Han-Hao, PU Sheng-Chun, ZHANG Hai-Gang, LIU Wei, AN Xu-Dong. Verification of the Calculation of Acoustic Field with Typical Bottom Based on Parabolic Equation in Scaled Tank Experiment[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 532-537. |
| [5] |
YANG Jing-Jing-1, LIU Yong-Sheng-1, FANG Wen-Jian-1, FANG Jin-1, PENG Lin-1, YANG Zheng-Long-2, GAO Tian-1, GU Min-An-1. Design and Efficiency of Photovoltaic-Thermoelectric Power Generator with Negative Feedback Characteristic[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 550-554. |
| [6] |
LIU Chen-Yan-1, 2 , PAN Li-1, 2 , ZI Xiao-Chao-2. A Binary-String-Set-Based Algebraic Framework for Policy Composition[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 579-583. |
| [7] |
PENG Yan-Bin-1, ZHENG Zhi-Jun-1, YU Cheng-Bo-2, LI Ji-Ming-3. Automated Negotiation Decision Model Based on Classifier Fusion[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 644-649. |
| [8] |
NING Xiao-Lin-1, ZHAO Yi-Fei-2, CHEN Fei-儿1. Index System and Prosperity Indices of Global Shipping Industry and Applied Research[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 417-422. |
| [9] |
KONG Xiang-Qiang-1, LIN Lin-1, LI Ying-1, ZHANG Dong-2, YANG Qian-Ming-1. Effect of Refrigerant Charge on the Performance of a Direct Expansion Solar Assisted Heat Pump Water Heater Using R410A[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 370-375. |
| [10] |
HUANG Kang, 欧Yang-Guang-Yao , AN Shi-Jie, CHANG Han-Bao. Design and Simulation Research on Double-Staggered Arranged Porous Nozzle[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 434-437. |
| [11] |
WANG Lei, GU Meng-Di. Optimal Reinsurance-Investment Strategies in a Mean-Reverting Market[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 438-443. |
| [12] |
XIONG Hao, YAN Hui-Li, ZHOU He-Ping, LIU Wu-Sheng. Real-Time Optimization Strategy of the Multi-Period Dynamic Vehicle Routing Problems[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 450-453. |
| [13] |
HONG Jiang-Tao-1, YANG Xiao-Yan-1, CHEN Jun-Fang-2. An Empirical Research on the Relationship among Knowledge Management, Knowledge Competence and Core Competence[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 444-449. |
| [14] |
LI Bin-a, JI Jian-Hua-a, b , LI Guo-Wei-a. Study on Supply Chain Robustness Index Mode Considering Profits and Risks[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 484-488. |
| [15] |
XU Shi-Yin, HUANG Xiu-Chang, HUA Hong-Xing. Study on the Band Structure of Hexagonal Chiral Structures[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(02): 167-172. |
|
|
|
|
