
doi: 10.1137/0724044
The paper presents efficient methods for the solution of linear systems having circulant (banded circulant, block circulant) coefficient matrices. The proposed methods are more efficient than Toeplitz type methods and are based on the fast Fourier transform as well as the circulant factorization of ''banded'' circulant matrices.
biharmonic solver, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, circulant factorization, Toeplitz type methods, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, Poisson solver, Numerical solution of discretized equations for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, fast Fourier transform, Factorization of matrices, circulant matrices
biharmonic solver, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, circulant factorization, Toeplitz type methods, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, Poisson solver, Numerical solution of discretized equations for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, fast Fourier transform, Factorization of matrices, circulant matrices
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