About
32
Publications
12,241
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
166
Citations
Introduction
Current institution
Education
February 2014 - September 2017
Publications
Publications (32)
The Newton method has some shortcomings which includes computation of the Jacobian matrix which may be difficult or even impossible to compute and solving the Newton system in every iteration. Also, the common setback with some quasi-Newton methods is that they need to compute and store an n × n matrix at each iteration, this is computationally cos...
Conjugate gradient methods are widely used for unconstrained optimization problems. Most of the conjugate gradient methods do not always generate a descent search direction. In this article, a new search direction via hybrid conjugate gradient method by convex combination of the earlier works is used and extended for the solution of nonlinear syste...
In this paper, a new hybrid conjugate gradient method for solving monotone nonlinear equations is introduced. The scheme is a combination of the Fletcher-Reeves (FR) and Polak-Ribiére-Polyak (PRP) conjugate gradient methods with the Solodov and Svaiter projection strategy. Using suitable assumptions, the global convergence of the scheme with monoto...
Quasi Newton's method is among the most promising algorithm for solving systems of nonlinear equations. In this family, Broyden's method update is the famous. This paper presents a simple conjugate gradient (CG) method for solving large-scale systems of nonlinear equations via memoryless Broyden's approach. The attractive attribute of this method i...
This study developed a mathematical model of COVID-19 infection transmission dynamics incorporating asymptomatically and symptomatically-infectious individuals, the vital dynamics such as birth rate and mortality rate, face-mask use, diagnosis of asymptomatic infectious individuals, and isolation of infected individuals as control strategy are also...
This study developed a deterministic mathematical model of COVID-19 infection by incorporating asymptomatically and symptomatically infectious individuals, the vital dynamics such as birth rate and mortality rate. Face mask use, diagnosis of asymptomatic infectious individuals, and isolation of infected individuals as control strategies are also in...
Some students engaged in exams Malpractice to make up their deficiency in knowledge, when they manage to graduate through this unacceptable practices, they are most often regarded as substandard and largely unsuitable for employment. To control this menace, a study to determine the relationship between SSCE, UTME score and CGPA is required. This re...
The inability of the Shewhart"s, the EWMA, and the CUSUM, Hotelling"s T 2 and many other control charts to indicate the time of shift poses great problems in production, Medicine, etc. To overcome the problems the need to identify the period of change (shift) in the process becomes inevitable. The study used Lapage-type Change-point (LCP) to detect...
A mathematical model for the transmission dynamics of tuberculosis in Kaduna metropolis, is formulated and analysed. For the prevalence of the disease, the model was considered in proportions of susceptible, exposed, infectious and recovered compartments. The disease-free equilibrium (DFE) and Endemic Equilibrium (EE) states of the model in proport...
Nonlinear problems mostly emanate from the work of engineers, physicists, mathematicians and many other scientists. A variety of iterative methods have been developed for solving large scale nonlinear systems of equations. A prominent method for solving such equations is the classical Newton's method, but it has many shortcomings that include compu...
In this study, a fully derivative-free method for solving large scale nonlinear systems of equations via memoryless DFP update is presented. The new proposed method is an enhanced DFP (Davidon-FletcherPowell) update which is matrix and derivative free thereby require low memory storage. Under suitable conditions, the proposed method converges globa...
Differential equations are of fundamental importance in Mathematics, Physical Sciences and Engineering Mathematics. Many mathematical relations and physical laws appeared in the form of such equations. This paper reviewed an application of these equations in solving mathematical model on electric circuit problems using the First order linear differ...
The applications of mathematics in many areas of computing, scientific and engineering research mostly give rise to a systems of nonlinear equations. Various iterative methods have been developed to solve such equations, this includes Newton method, Quasi-Newton’s etc. Over the years, there has been significant theoretical study on quasi-Newton met...
In mathematical term, the method of solving models and finding the best alternatives is known as optimization. Conjugate gradient (CG) method is an evolution of computational method in solving optimization problems. In this article, an alternative modified conjugate gradient coefficient for solving large-scale nonlinear system of equations is prese...
An algorithm for solving large-scale systems of nonlinear equations based on the transformation of the Newton method with the line search into a derivative-free descent method is introduced. Main idea used in the algorithm construction is to approximate the Jacobian by an appropriate diagonal matrix. Furthermore, the step length is calculated using...
Mathematical models from recent research are mostly nonlinear equations in nature. Numerical solutions to such systems are widely needed and applied in those areas of mathematics. Although, in recent years, this field received serious attentions and new approach were discovered, but yet the efficiency of the previous versions suffers setback. This...
Hepatitis B is a serious global health threat, it is a liver infection disease caused by hepatitis B virus (HBV), which weakens the immune system of the victim. Its mode of transmission is through sexual contact, mother to child at birth, contact with the virus fluid, infected blood. Mathematical Modeling has emerged as a vital tool for understandi...
The systems of nonlinear equations emerges f rom many areas of computing, scientific and engineering research applications. A variety of an iterative methods for solving such systems have been developed, this include the famous Newton method. Unfortunately, the Newton method suffers setback, which includes storing í µí±×í µí± matrix at each itera...
Queues are commonly sighted in almost every organization where services rendered, especially banks. Therefore, queuing theory which is the mathematical study of waiting lines is suitable to be applied in the banking sector since it is associated with queue and waiting line where customers who cannot be served immediately have to wait (queue) for se...
Nonlinear problems mostly emanate from the work of engineers, physicists and mathematicians and many other scientists. A variety of different iterative methods have been developed for solving large scale nonlinear systems of equations. The prominent method for solving such equations is the classical Newton’s method, but it has many shortcomings. To...
Research from the work of engineers, economist, modelling, industry, computing, and scientist are mostly nonlinear equations in nature. Numerical solution to such systems is widely applied in those areas of mathematics. Over the years, there has been significant theoretical study to develop methods for solving such systems, despite these efforts, u...
Conjugate gradient (CG) parameters play a vital role in solving nonlinear optimization problems. Different reviewers carried out various modifications in order to improve the methods. In this article, a derived CG parameter k β for solving symmetric systems of nonlinear equations is proposed via the scaled conjugate gradient methods by Waziri and Z...
This paper presents a method for solving nonlinear system of equations via double direction approach. We consider the first direction to be steepest descent direction while the other direction is the proposed CG direction. Derivative-free line search is used to obtain the step length α k. The global convergence of the proposed algorithm is establis...
In this paper, we propose a CG-method for solving large scale systems of nonlinear equations via memoryless SR1 update. The new method is an enhanced SR1 update which is a matrix and derivative free, thereby requires low memory storage. Under appropriate conditions, the global convergence of the proposed method is established. The preliminary numer...
In this paper, the definition of soft set and a detailed theoretical study of basic operations of soft sets such as intersection, extended intersection, restricted intersection, union, restricted union, complement and relative complement, Null and universal soft set are given. With the aid of definition of AND operation of soft sets and tabular rep...
In [1], [2], [3], [4], [5], [6] and [7] basic introduction of soft set is discussed with examples. The main aim of this paper is develop partial ordering in soft set context.
