American Journal of Applied Mathematics

Volume 8, Issue 1, February 2020

  • Conjugate Gradient Methods for Computing Weighted Analytic Center for Linear Matrix Inequalities Using Exact and Quadratic Interpolation Line Searches

    Shafiu Jibrin, Ibrahim Abdullahi

    Issue: Volume 8, Issue 1, February 2020
    Pages: 1-10
    Received: 18 October 2019
    Accepted: 27 November 2019
    Published: 4 January 2020
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    Abstract: We study the problem of computing the weighted analytic center for linear matrix inequality constraints. In this paper, we apply conjugate gradient (CG) methods to find the weighted analytic center. CG methods have low memory requirements and strong local and global convergence properties. The methods considered are the classical methods by Hestene... Show More
  • Using Warshall to Solve the Density-linked Density Clustering Algorithm

    Mengying Huang, Yuanhai Yan, Lijuan Xu, Lihong Ye

    Issue: Volume 8, Issue 1, February 2020
    Pages: 11-16
    Received: 2 January 2020
    Accepted: 13 January 2020
    Published: 23 January 2020
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    Abstract: Clustering algorithm has a wide range of applications in data mining, pattern recognition and machine learning. It is an important part of data mining technology. The emergence of massive data makes the application of data mining technology endless. Cluster analysis is the basic operation of big data processing. The clustering algorithm is to divid... Show More
  • Logarithmically Complete Monotonicity of a Function Involving the Gamma Functions

    Mohammad Soueycatt, Abedalbaset Yonsoo, Ahmad Bekdash, Nabil Khuder Salman

    Issue: Volume 8, Issue 1, February 2020
    Pages: 17-21
    Received: 29 November 2019
    Accepted: 21 December 2019
    Published: 31 January 2020
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    Abstract: The monotonic functions were first introduced by S. Bernstein as functions which are non-negative with non-negative derivatives of all orders. He proved that such functions are necessarily analytic and he showed later that if a function is absolutely monotonic on the negative real axis then it can be represented there by a Laplace- Stieitjes integr... Show More
  • Coordination and Profit Optimization by Producer-Distributor System of Agricultural Products in Bangladesh

    Mohammad Khairul Islam, Mohammad Mahmud Alam, Mohammed Forhad Uddin, Gazi Mohammad Omar Faruque

    Issue: Volume 8, Issue 1, February 2020
    Pages: 22-28
    Received: 28 October 2019
    Accepted: 15 November 2019
    Published: 4 February 2020
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    Abstract: This study, presents three different mathematical models: Producer, Distributor and Coordination modelwhich negotiate with a Producer-Distributor system for producing and distributing ofagricultural products in Bangladesh. In this paper, we investigated supply chain network (SCN) are two distinct freelance supply organizations. SCN management has t... Show More
  • From the Continuity Problem of Set Potential to the Research of Male Gene Fragment

    Zhu Rongrong

    Issue: Volume 8, Issue 1, February 2020
    Pages: 29-33
    Received: 5 January 2020
    Accepted: 17 January 2020
    Published: 4 February 2020
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    Abstract: The four mixed potentials belong to the category of hyperfinite theory and are discontinuous set potentials. From the basic frame structure of gene to the most excellent gene fragment of human male, while the basic frame structure of gene of female conforms to the basic frame rule of nature, male is only the supporting role; female is superior to m... Show More
  • Mathematical Modelling of HIV/AIDS Transmission Dynamics with Drug Resistance Compartment

    Eshetu Dadi Gurmu, Boka Kumsa Bole, Purnachandra Rao Koya

    Issue: Volume 8, Issue 1, February 2020
    Pages: 34-45
    Received: 7 November 2019
    Accepted: 2 January 2020
    Published: 13 February 2020
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    Abstract: This paper examines a mathematical modelling of HIV/AIDS transmission dynamics with drug resistance compartment. A nonlinear deterministic mathematical model for the problem is proposed using a system of ordinary differential equations. The aim of this study is to investigate the role of passive immunity and drug therapy in reducing the viral repli... Show More