Applied and Computational Mathematics

Volume 8, Issue 1, February 2019

  • A Matrix-Vector Construction of the Algebra of Complex Numbers

    Jeffrey Uhlmann

    Issue: Volume 8, Issue 1, February 2019
    Pages: 1-2
    Received: Dec. 10, 2018
    Accepted: Jan. 02, 2019
    Published: Jan. 30, 2019
    Abstract: The aim of this paper is to describe an alternative way to think about the algebra of complex numbers that may be of pedagogical value for introducing related concepts such as linear transformations and convolutions. The method is to define a fixed linear transformation of complex numbers represented in vector form so that products can be evaluated... Show More
  • Model Diatom Population by Branching Stochastic Processes

    Antoanela Terzieva, Georgi Terziev

    Issue: Volume 8, Issue 1, February 2019
    Pages: 3-8
    Received: Dec. 14, 2018
    Accepted: Jan. 11, 2019
    Published: Feb. 21, 2019
    Abstract: The phytoplankton is one of the most ancient inhabitants of our planet. It consists of mostly unicellular aquatic species, both fresh water and marine. The purpose of this work is to model the dynamics of a diatoms population because it is a predominant phytoplankton kind and plays a key role at the base of the food chains, climate regulation and e... Show More
  • Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field

    Shayma Joya Saha, Litan Kumar Saha

    Issue: Volume 8, Issue 1, February 2019
    Pages: 9-20
    Received: Feb. 01, 2019
    Accepted: Mar. 11, 2019
    Published: Mar. 25, 2019
    Abstract: In this paper, an analysis is performed to explorethe transient, laminar two-dimensional, mixed convection boundary layer flow of a viscous and incompressible fluid past a vertical wedge taking into account the effect of magnetic field. With appropriate transformations the boundary layer equations are reduced to a local nonsimilarity equations and ... Show More
  • Search Directions in Infeasible Newton’s Method for Computing Weighted Analytic Center for Linear Matrix Inequalities

    Shafiu Jibrin, Ibrahim Abdullahi

    Issue: Volume 8, Issue 1, February 2019
    Pages: 21-28
    Received: Feb. 11, 2019
    Accepted: Mar. 22, 2019
    Published: Apr. 22, 2019
    Abstract: Four different search directions for Infeasible Newton’s method for computing the weighted analytic center defined by a system of linear matrix inequality constraints are studied. Newton’s method is applied to find the weighted analytic center and the starting point can be infeasible, that is, outside the feasible region determined by the linear ma... Show More