A Family of P Systems for Solving Linear Equations

GUO Ping; WEI Lijiao; CHEN Haizhu; LIU Ran

doi:10.1049/cje.2016.10.018

Volume 26 Issue 4

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GUO Ping, WEI Lijiao, CHEN Haizhu, et al., “A Family of P Systems for Solving Linear Equations,” Chinese Journal of Electronics, vol. 26, no. 4, pp. 667-674, 2017, doi: 10.1049/cje.2016.10.018

Citation:

GUO Ping, WEI Lijiao, CHEN Haizhu, et al., “A Family of P Systems for Solving Linear Equations,” Chinese Journal of Electronics, vol. 26, no. 4, pp. 667-674, 2017, doi: 10.1049/cje.2016.10.018

GUO Ping, WEI Lijiao, CHEN Haizhu, et al., “A Family of P Systems for Solving Linear Equations,” Chinese Journal of Electronics, vol. 26, no. 4, pp. 667-674, 2017, doi: 10.1049/cje.2016.10.018

Citation:

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A Family of P Systems for Solving Linear Equations

doi: 10.1049/cje.2016.10.018

1.
College of Computer Science, Chongqing University, Chongqing 400044, China;
2.
Department of Software Engineering, Chongqing College of Electronic Engineering, Chongqing 401331, China;
3.
Chongqing Key Laboratory of Software Theory and Technology, Chongqing 400044, China

Funds: This work is supported by the National Science Foundation for Young Scholars of China (No.61201347), Chungking Natural Science Foundation (No.cstc2013jcyjA40046), and the Fundamental Research Funds for the Central Universities (No.CDJZR11180003).

Received Date: 2015-06-01
Rev Recd Date: 2015-10-24
Publish Date: 2017-07-10

Abstract

Abstract

Solving linear equations is one of the fundamental problems in numerical calculation and has a wide application in many science and engineering fields. We present a family of P systems to solve linear equations in which the coefficients are real numbers. An instance is given to illustrate the feasibility and effectiveness of our designed P systems. Our work contributes to make P systems to solve more complicated computation problems effectively.
- Membrane computing,
- Cell-like P systems,
- Fraction arithmetic operation,
- Numerical calculation P systems

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References(19)

References

Gh. Pǎun, Membrane Computing, An Introduction, Springer-Verlag, Berlin, 2002.

Gh. Pǎun, “Computing with membranes”, Journal of Compute and System Science, Vol.61, No.1, pp.108-143, 2000.

A. Vitale, G. Mauria and C. Zandron, “Simulation of a bounded symport/antiport P system with Brane calculi”, Biosystems, Vol.91, No.3, pp.558-571, 2008.

C. Martín-Vide, Gh.Pǎun and A. Rodríguez-Patón, “On P systems with membrane creation”, Computer Science Journal of Moldova, Vol.9, No.2, pp.134-145, 2001.

C. Mart, Gh. Pǎun and J. Pazos, “Tissue P systems”, Theoretical Computer Science, Vol.296, No.2, pp.295-326, 2003.

R. Freund, Gh. Pǎun and M.J. Pérez-Jiménez, “Tissue P systems with channel states”, Theoretical Computer Science, Vol.330, No.1, pp.101-116, 2005.

Y. Jiang, T. Song and Z. Zhang, “Tissue P systems with lookahead mode”, Chinese Journal of Electronics, Vol.23, No.1, pp.81-86, 2014.

M. Ionescu, Gh. Pǎun and T. Yokomori, “Spiking neural P systems”, Fundamenta Informaticae, Vol.71, No.2, pp.279-308, 2006.

O.H. Ibarra, A. Pǎun and Gh.Pǎun, “Normal forms for spiking neural P systems”, Theoretical Computer Science, Vol.372, No.2, pp.196-217, 2007.

K.Q. Jiang and X.L. Shi, “Degree of spiking neural P systems without delay”, Chinese Journal of Electronics, Vol.21, No.3, pp.419-424, 2012.

H.Z. Chen and Z.S. He, “A uniform solution to HPP in terms of membrane computing”, Artificial Intelligence and Computational Intelligence, LNAI, Vol.5855, pp.59-68, 2009.

T. Ishdorj and A. Leporati, “Uniform solutions to SAT and 3-SAT by spiking neural P systems with pre-computed resources”, Natural Computing, Vol.7, No.4, pp.519-534, 2008.

P. Guo and H.Y. Zhang, “Arithmetic operation in single membrane”, Proc. of International Conference on Computer Science and Software Engineering, Wuhan, Hubei, China, Vol.3, pp.532-535, 2008.

Y.X. Chen, G.X. Zhang, T. Wang, et al., “Automatic design of P systems for five basic arithmetic operations within one framework”, Chinese Journal of Electronics, Vol.23, No.2, pp.302-304, 2014.

A.C. Hepzibah, D.P. Daniel, J.R. Pedro, et al., “Color segmentation of 2D images with thresholding, eco-friendly computing and communication systems”, Communications in Computer and Information Science, Vol.305, pp.162-169, 2012.

D.P. Daniel, B. Ainhoa, F. Pena-Cantillana, et al., “Segmenting images with gradient-based edge detection using Membrane Computing”, Pattern Recognition Letters, Vol.34, pp.846-855, 2013.

P. Guo, H.Z. Chen and H. Zheng, “Arithmetic expression evaluations with membranes”, Chinese Journal of Electronics, Vol.23, No.1, pp.55-60, 2014.

P. Guo, H. Zhang, H.Z. Chen, et al., “Fraction arithmetic operations performed by P systems”, Chinese Journal of Electronics, Vol.22, No.4, pp.689-694, 2013.

P. Guo, H. Zhang, H.Z. Chen, et al., “Fraction reduction in membrane systems”, Scientific World Journal, Article ID 858527, http://dx.doi.org/10.1155/2014/858527, 2014.

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