A lecturer in the Department of Mathematics, Bayero
University, Kano(BUK) Dr. Waziri
Muhammad from Gashua in Yobe State has received the best PhD graduating
student award in his research on Diagonal Quasi-Newton’s Method for
Large-Scale systems of Non-linear equations.
The award
was given at the 36th University Putra Malaysia’s convocation ceremony on
October 12, 2012, in Malaysia.
The convocation was attended by
eminent scientists and graduate students from UK, US, Italy, Spain, Russia,
Holland, India, Iran, Nigeria, and other countries.
Waziri
said the primary objective of his research was to reduce computational cost and
matrix storage requirement and eliminate the need to solve Newtonian method for
solving systems of nonlinear equations in large-scale problems.
His research is part of a larger project at Universiti
Putra (UPM) Malaysia. “The work is a product of an on-going research at UPM’s
Department of Mathematics, under the supervision of Associate Prof. Dr.
Leong Wah June”.
“Solving systems of nonlinear equations is
becoming more essential in analysis and handling complex problems in many
research areas e.g robotics, radioactive transfer, chemistry, economics,
finance, engineering, medicine, transportation,” Dr. Waziri explained.
He
said: “The well-known method for solving systems of nonlinear equations is
Newton’s method. Nevertheless, an iteration of this method turns out to be
computationally expensive; this is due to the fact that the method requires the
computation and storage of the Jacobian matrix. The pleasant feature of the
novel method is that, in a situation when Newton’s method needs to store 1000
variables in each iteration, my method requires storing 100 variables only in
each iteration.”
Like other Nigerian research in Malaysia, Waziri said
his research can also benefit Nigeria.
“Most of engineering, economics,
sciences and technology problems are nonlinear in nature that requires an
efficient method to handle such cases. I proposed eight methods that are good
candidates for solving large scale systems of nonlinear equations. Here in
Malaysia, we are in the process of applying the proposed method in optimizing
car fuel consumptions.”
“To this end, I’m calling our dear researchers to
join hands in applying the novel methods in order to optimize the Nigerian
economy in all aspects,” Dr. Waziri said.[VON]
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