GMRES using pseudoinverse for range symmetric singular systems
Kota Sugihara,
Ken Hayami,
Liao Zeyu
Abstract:Consider solving large sparse range symmetric singular linear systems Ax = b which arise, for instance, in the discretization of convection diffusion equations with periodic boundary conditions, and partial differential equations for electromagnetic fields using the edge-based finite element method.In theory, the Generalized Minimal Residual (GMRES) method converges to the least squares solution for inconsistent systems if the coefficient matrix A is range symmetric, i.e. R(A) = R(A T ), where R(A) is the rang… Show more
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