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  • 學位論文

正定社交網路迭代行為之模擬

Simulation of the Iterated Behavior in Positive Definite Social Network

指導教授 : 吳裕振

摘要


本論文主要研究社會對某些議題的贊成或反對,利用人和人之間透過社交網路來更新它們的主見。本論文用矩陣方式來架構此問題,並且對此矩陣為正定時,我們因此用電腦模擬,發現它最後一定會收斂,對此議題必有結論,若不是正定時,模擬結果發現有二個情況發生,一是2個軌道會循環,二是會收斂,並且在最後附錄附有程式。

關鍵字

矩陣 迭代

並列摘要


This study mainly aims at whether the society supports or disagrees with certain issues, and uses social networks among people to update their opinions. In this study, the matrix is used to construct this issue. By using the computer simulation, when the matrix is a positive definite, we find that it will eventually converge. Therefore, this topic must have a conclusion. If it is not positive, the simulation results show that there are two situations occur. One is that the two will cycle, and the second is to converge. Furthermore, the program is attached in the appendix.

並列關鍵字

Matrix Iterated

參考文獻


1. YVES KAMP and MARTIN HASLER (1990)
Recursive Neural Networks for Associative Memory J. Wiley & Sons, New York.
2. Roger A. Horn and Charles R. Johnson (1990)
Matrix Analysis Cambridge University.

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