Symm Integral Equation has an important application in potential theory, which is an ill posed problem in the sense of Hadamard. Based on the discretization of Symm Integral Equation, we propose a RRGMRES method to solve Symm Integral Equation, gives the numerical simulation, and the methods proposed in the related literature are analyzed and compared, the results show that the method proposed in this paper is to solve the Symm Integral Equation has the advantages of high precision and strong anti-interference.
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