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All published articles 1763

Solving Interval Linear Equations with Modified Interval Arithmetic

Mehdi Allahdadi & Zohreh Khorram · Journal of Advances in Mathematics and Computer Science · 2015

Gaussian elimination method is one of the widely used methods for solving linear equations. An interval version of Gaussian elimination method has been used by simply replacing each real arithmetic step by the corresponding interval arithmetic step. Two interval arithmetics techn...

Open access Research Article 10.9734/BJMCS/2015/18825

Determining the Effects of Cross-over Point on the Running Time of Strassen Matrix Multiplication Algorithm

S. C. Agu & T. A. Atabong · Journal of Advances in Mathematics and Computer Science · 2015

This paper studies Strassen’s algorithms for fast multiplication of two finite dimensional matrices. However, one pertinent issue that has deterred Strassen’s scheme from been considered for practical usage is determining the cross-over point. In this light, large matrices with d...

Open access Research Article 10.9734/BJMCS/2015/18772

A Fourth-Order Nonlinear Conjugate Gradient Method in Large Scale Optimization

Nwaeze Emmanuel · Journal of Advances in Mathematics and Computer Science · 2015

This paper is presenting a fourth-order nonlinear conjugate gradient method in large scale optimization. This method solves unconstrained optimization problems. It is based on a nonlinear polynomial approximation of the objective function. The idea is to approximate the minimizin...

Open access Research Article 10.9734/BJMCS/2015/18694

Witt Groups of P1

Sarrage Mouhamad, Khalil Houssam, Hossein Mouhamad & Ezzaldine Hayssam · Journal of Advances in Mathematics and Computer Science · 2015

In this paper we calculate the Witt groups of P1. It's a known result, but we calculate it by another method: we use the localisation theorem of Balmer and the excision theorem of S. Gille.

Open access Research Article 10.9734/BJMCS/2015/18366

A Note on Guaranteed Stable Recovery of Sparse Signal in Compressed Sensing via the RIP of Orders

Hiroshi Inoue · Journal of Advances in Mathematics and Computer Science · 2015

In this paper, we shall continue a study of the CS-recovery of signals studied in [1]. Under the assumption that a m × n matrix A obeys the RIP of order s we decompose the space of unknown vectors into sets M0; M1; · · · ;M7 de ned by a bias function px on a good location T0 = {1...

Open access Research Article 10.9734/BJMCS/2015/18237

On Linear Harbourne Constants

Justyna Szpond · Journal of Advances in Mathematics and Computer Science · 2015

In this note we compute values of global linear Harbourne constants over arbitrary fields for up to ten lines. These invariants have appeared recently in the discussions around the Bounded Negativity Conjecture, see [1]. They seem to be of independent interest also from the point...

Open access Research Article 10.9734/BJMCS/2015/16922

Current Development of Historical Methods for Solving Linear Systems of Simultaneous Congruences

Yang Liu & Robert Goutte · Journal of Advances in Mathematics and Computer Science · 2015

Based on the very old methods of solving linear systems of simultaneous congruences, the Chinese Remainder Theorem is still an irreplaceable tool in Computing, Signal Processing and Information security. We demonstrate its potential by considering an example of an application con...

Open access Research Article 10.9734/BJMCS/2015/16683

Solving Investment Problem with Inexact Rough Interval Data through Dynamic Programming Approach

E. E. Ammar & H. A. Khalifa · Journal of Advances in Mathematics and Computer Science · 2015

Finding the best investment is an interesting optimization problem. When we deal with such a problem in an uncertain and vague environment, the optimization problem becomes more difficult. In this paper, we deal with rough data expressed in the form of an inexact rough interval f...

Open access Research Article 10.9734/BJMCS/2015/15849

A Mathematical Model for Population Density Dynamics of Weed-Crop Competition

M. O. Nasir, N. I. Akinwande, M. G. M. Kolo, J. Mohammed & Rose Abbah · Journal of Advances in Mathematics and Computer Science · 2015

A model for the dynamics of homogeneous population competition between two species of weeds and a crop is formulated to gain in-sight into the behaviour of crop growing with weeds. We used assumptions based upon reasonable biological process to derive from single weed model equat...

Open access Research Article 10.9734/BJMCS/2015/15975

Abuse of Unified Modeling Language Diagrams in Software Development

M. Peter Ogedebe & Faki A. Silas · Journal of Advances in Mathematics and Computer Science · 2015

The Unified Modeling Language (UML) is a general-purpose visual modeling language for specifying software-intensive systems. More precisely, it is a graphical language for visualizing, specifying, constructing and documenting the artifacts of software-intensive systems. UML is a...

Open access Research Article 10.9734/BJMCS/2015/17075

Numerical Function Optimization Solutions Using the African Buffalo Optimization Algorithm (ABO)

Julius Beneoluchi Odili & Mohd Nizam Mohmad Kahar · Journal of Advances in Mathematics and Computer Science · 2015

This paper proposes a new meta-heuristic approach to solving continuous optimization problems using 21 benchmark test cases. The African buffalo algorithm evolved from an understanding of this animal’s survival instincts and the search techniques they utilize in the African fores...

Open access Research Article 10.9734/BJMCS/2015/17145