GUO Ping, WEI Lijiao, CHEN Haizhu, LIU Ran. A Family of P Systems for Solving Linear Equations[J]. Chinese Journal of Electronics, 2017, 26(4): 667-674. doi: 10.1049/cje.2016.10.018
Citation: GUO Ping, WEI Lijiao, CHEN Haizhu, LIU Ran. A Family of P Systems for Solving Linear Equations[J]. Chinese Journal of Electronics, 2017, 26(4): 667-674. doi: 10.1049/cje.2016.10.018

A Family of P Systems for Solving Linear Equations

doi: 10.1049/cje.2016.10.018
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
  • 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.
  • loading
  • 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.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (177) PDF downloads(482) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return