Solving non-linear systems by newton's method using spreadsheet excel

Tay (2006) has proposed solving methods using the Casio fx-570MS calculator to overcome the tediousness of doing recursive calculations. Here, we present another alternative, that is solving a non-linear system using Newton's method in Microsoft Office Excel. For this, we just make use of the M...

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Bibliographic Details
Main Authors: Tay , Kim Gaik, Kek , Sie Long, Abdul Kahar, Rosmila
Format: Conference or Workshop Item
Published: 2009
Subjects:
Online Access:http://eprints.uthm.edu.my/6779/
http://eprints.uthm.edu.my/6779/1/TAY_KIM_GAIK_SOLVING_NON_LINEAR_SYSTEMS.pdf
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Summary:Tay (2006) has proposed solving methods using the Casio fx-570MS calculator to overcome the tediousness of doing recursive calculations. Here, we present another alternative, that is solving a non-linear system using Newton's method in Microsoft Office Excel. For this, we just make use of the MULT function to do matrix multiplication and MINVERSE function to do the matrix inverse operation. The concept presented here can be developed into a solver where the user just needs to input the initial vector X, the corresponding formula of Jacobian matrix J(x,y) and non-linear system vector F(x,y). The full solutions will be displayed automatically. The solver is easy and user friendly for students and educator who needs its full solutions quickly.