Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2016
  • Volume: 8
  • Issue: 2

Matrix inversion: Representation of numerical data by a polynomial curve

  • Author:
  • Biswajit Das1, Dhritikesh Chakrabarty2,3
  • Total Page Count: 10
  • Page Number: 267 to 276

1Research Scholar, Assam Down Town University, Panikhaiti, Guwahati, Assam, India, E-mail: ccbiswajitdas@gmail.com

2Department of Statistics, Handique Girls’ College, Guwahati, Assam, India, dhritikesh.c@rediffmail.com

3Research Guide, Assam Down Town University, Panikhaiti, Guwahati, Assam, dhritikeshchakrabarty@gmail.com

Online published on 1 August, 2017.

Abstract

The interpolation by method which consists of the representation of numerical data by a suitable polynomial and then to compute the value of the dependent variable from the polynomial corresponding to any given value of the independent variable leads to the necessity of a method for representing a given set of numerical data on a pair of variables by a suitable polynomial. One such method has been composed in this study. The method is based on the inversion of a square matrix from Caley-Hamilton theorem. The method obtained has been applied in representing the numerical data, on the total population of India since 1971, by a polynomial curve.

Keywords

Polynomial curve, representation of numerical data, Caley-Hamilton theorem, interpolation