Numerical Method Of Some Special System Of Equations And Its Application

This thesis is composed of three parts. Firstly, for symmetric positive definite linear equations, a new convergent iterative scheme(x_k+1 = is given by the sum of diagonal entries ofthe coefficient matrix, furthermore, this convergent iterative scheme is improved and a new scheme (x_k+1 = is presented,which consumed time decreased. Secondly, gaussian elimination with partial pivoting method and Boryden's method and Orthogonal method for generating stochastic orthogonal matrix are presented. Thirdly, using the method of solving linear system of equations, a matrix is constructed by the eigenvalues or some eigenvalues and some eigenvectors.