The Optimal Filter Recurrence Calculating Method on a System of Equations Pseudo Solution in the Large Capacity of Computing Technology

Abstract:

In the large capacity of computing technology, this article sets up the statistic recurrence calculating method of linear algebra pseudosolution by making use of the optimal filter theory. So we can get recurrence form of pseudosolution under the linear simultanuity and linear non-simultanuity instead of using the complex calculating pseudo-inverse matrix. This method is reliable and its effect is excellent. The results of the discussion show that the method of this article will provide an effective mathematic processing method in order to realize the optimal calculating of complex system of linear equations in the large capacity of calculating.

• Periodical: Advanced Materials Research (Volumes 850-851)
• Pages: 437-440
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.850-851.437
• Online since: December 2013
• Authors: Xiao Nan Xiao
• Keywords: Computing Technology, Optimal Filter, Pseudo Solution, Pseudo-Inverse Matrix, Recurrence Calculating Method, System of Linear Equations

References

[1] Huang Tianyun. The restrained optimization pattern search method research progress [J]. Chinese Journal of Computers, 2008, 31(7): 1200-1251.

[2] Xiao Xiaonan. Optimm Operation and Optimum Analysis to Permit Coding Function of a Kind of Signal Transitive Stochastic System[J]. Journal of Xiamen University Natural Science, 2009, 48(2): 170-173.

[3] Qiu Jinming, Zhang Li. F-interfere law genercetion and its feature recognition [J]. Journal of Systems Engineering and Electronics, 2009, 20 (4): 777-783.

[4] Ren Y, Lu S P, Xia N M. Remarks on the existence and uniqueness of the solutions to stochastic funtional differential equations with infinite delay [J]. Comput Appl Math, 2008, 220: 364-372.

DOI: 10.1016/j.cam.2007.08.022

[5] Cai Shangfeng. Stochastic control theory [M]. Shanghai: Shanghai Jiaotong University Press, (1987).

[6] Shi Kaiquan, Yao Bingxue. Funtion S-rough sets and las identification [J]. Scince in China Series F: Information Sciences, 2008, 51 (5): 499-510.

[7] Adrian Specker. Information system modelling [M]. Huang Guanwei, Huo Jiazhen, Wei Yi translates. Beijing: Qinghua University Press, (2007).

[8] Xiao Xiaonan. The Continuity and Unigueness of the Solution for the Simultaneous Equa-tions of a Class of Gaussian Diffusion Process and Analysis of Consistency[J]. Journal of Xiamen University Natural Science, 2007, 46(2): 161-163.

[9] Yuan C G, William G. Approximate solutions of stochastic differential delay equations with Markovian switching [J]. Comput Appl Math, 2006, 194: 207-226.

DOI: 10.1016/j.cam.2005.07.004

[10] Frauenfelder P, Schwab C, Todor R A. Finite elements for elliptic problems with stochastic coeffieients [J]. Computer Methods in Applied Mechnics and Engineering, 2005, 194 (2/5): 205-228.

DOI: 10.1016/j.cma.2004.04.008

[11] Yan H _Wei Q L. Determining compromise weights fos group decision making[J]. Journal of Operational Research Society, 2002(53): 680-687.

DOI: 10.1057/palgrave.jors.2601349

[12] Wei Quanling, Yan Hong. Generalized optimized theory and model [M]. Beijing: Scientific Press, (2003).