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Iterative Method of Solving Linear Equations Comparison

Yamin Zheng

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Abstract

Iterative Method about solving of linear equations is an important practical method,it is especially applicable to solve a large number of emerging sparse coefficient matrix for a large array of linear equations in practice,Matlabprocedures can to improve the capacity of the actual calculation and calculation of speed.In this paper,Matlab procedure is to achieve the solution of linear equations of the Jacobi iterative anditer Gauss-Seidel iterative,and gives a new iterative method of procedures,as well as the three iterative method comparisons.

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What this paper is about

Iterative Method about solving of linear equations is an important practical method,it is especially applicable to solve a large number of emerging sparse coefficient matrix for a large array of linear equations in practice,Matlabprocedures can to improve the capacity of the actual calculation and calculation of speed.In this paper,Matlab procedure is to achieve the solution of linear equations of the Jacobi iterative anditer Gauss-Seidel iterative,and gives a new iterative method of procedures,as well as the three iterative method comparisons.

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Available abstract

Iterative Method about solving of linear equations is an important practical method,it is especially applicable to solve a large number of emerging sparse coefficient matrix for a large array of linear equations in practice,Matlabprocedures can to improve the capacity of the actual calculation and calculation of speed.In this paper,Matlab procedure is to achieve the solution of linear equations of the Jacobi iterative anditer Gauss-Seidel iterative,and gives a new iterative method of procedures,as well as the three iterative method comparisons.

Key concepts: Iterative method, Matrix-free methods, Coefficient matrix, Successive over-relaxation, Gauss–Seidel method, Linear equation, Jacobi method, System of linear equations

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