Stability Analysis of Investor Sentiment Propagation Model Based on S2I2R Model

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Volume 14, Issue 4

HongxingYao and Yifan Yang

J. Info. Comput. Sci. , 14 (2019), pp. 314-320.

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Abstract

In this paper, we introduce a piecewise modified matrix Padé-type approximation of hybrid order in the interval [0, 1]. It yields highly accurate results and exact values at some given points. The accuracy of this approximation increases as the order or the node increases. This method can be applied to approximate the exponential function. The explicit formula for computing the matrix exponential is presented. A numerical example is given to illustrate the effectiveness of this method.

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@Article{JICS-14-314, author = {HongxingYao and Yifan Yang}, title = {Stability Analysis of Investor Sentiment Propagation Model Based on S2I2R Model}, journal = {Journal of Information and Computing Science}, year = {2019}, volume = {14}, number = {4}, pages = {314--320}, abstract = { In this paper, we introduce a piecewise modified matrix Padé-type approximation of hybrid order in the interval [0, 1]. It yields highly accurate results and exact values at some given points. The accuracy of this approximation increases as the order or the node increases. This method can be applied to approximate the exponential function. The explicit formula for computing the matrix exponential is presented. A numerical example is given to illustrate the effectiveness of this method. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22407.html} }

TY - JOUR T1 - Stability Analysis of Investor Sentiment Propagation Model Based on S2I2R Model AU - HongxingYao and Yifan Yang JO - Journal of Information and Computing Science VL - 4 SP - 314 EP - 320 PY - 2019 DA - 2019/12 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22407.html KW - AB - In this paper, we introduce a piecewise modified matrix Padé-type approximation of hybrid order in the interval [0, 1]. It yields highly accurate results and exact values at some given points. The accuracy of this approximation increases as the order or the node increases. This method can be applied to approximate the exponential function. The explicit formula for computing the matrix exponential is presented. A numerical example is given to illustrate the effectiveness of this method.

HongxingYao and Yifan Yang. (2019). Stability Analysis of Investor Sentiment Propagation Model Based on S2I2R Model. Journal of Information and Computing Science. 14 (4). 314-320. doi:

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