On the Solution of Certain Skew Symmetric Linear Systems
Anita Buckley · SIAM Journal on Numerical Analysis · 1977
We consider the problem of numerically solving a system of linear equations $Ax = b$, where $A = I + H$ is Toeplitz and H is skew-symmetric. We first indicate that the elements $u_{kk} $ of the triangular decomposition $A = LU$ converge. Then we discuss how this result may be applied when numerically solving the Korteweg de Vries equation to reduce the computation and to make some conclusion about the reliability of the numerical solutions.