Project On Numerical Methods For Computing Eigen Values Of A Matrix with It Is Application A Project Submitted To The Department Of Mathematics In Partial To Fulfillment Of The B Sc. Degree In Mathematics

Abstract

Numerical method is a major branch of mathematics course.The advantage of eigen values and eigen vector in study of matrix and use in physics. This project paper contain four chapter:namely introduction of eigen values and eigen vector, literature review, eigen values and eigen vector and application of eigen values and eigen vector. More generally chapter one contain introduction concepts define matrix type.Chapter two contains literature review. Chapter three dominant eigen value and eigen vector, Properties Of Eigen values And Eigen vectors,description of the method , example of eigen value and eigen vector, Failure of the Power Method, extensions to the power method, the inverse power method, deflation eigen values of a real symmetric matrix, householder’s method.The last chapter contain application of eigen values and eigen vector in this chapter:Numerical Determination of Eigenvalues and Eigenvectors and population growth. The last is summary, main Matlab code and bibliography