In natural science and engineering technology， the resolutions of many problems are reduced to solving linear algebraic With the development of science and technology， the complexity of a problem to be solved is Therefore， highly efficient solution of large scale sparse matrices is of universal meaning in scientific General numerical solutions of linear equations are direct methods and iterative This article mainly analyzes such direct methods as Gaussian Elimination and LU-Factorization， then proproses a square-rooting method to find the symmetrical positive definite The iterative methods， Jacobi method iterative method， Gauss-Seidel Method， and Successive Over Relaxation (SOR) method， are also We finally discuss the Conjugate Gradient method based on the analysis of SOR We also provide detailed derivation of these methods using mathematical Matlab programs are developed and tested for solving linear Keywords: linear equations， direct methods， square-rooting， iterative methods， conjugate gradient
Proves Ddesargues theorem with the perspective correspondence method the abstract: Gives in the projective geometry with perspective correspondence's method the Desargues theorem new， the more succinct key word: Projective geometry; Perspective correspondence; Range of points; Group of
AbstractThis thesis mainly investigated historical originals of irrational number from three It also included the detailed illustrate of the applications of solving limit， derivative， integral， linear ordinary differential equation and application Key words: constant e compound interest logarithm calculus
