Approximate solution of large systems of equations with multidimensional Toeplitz matrices
A. V. Kozak, D. I. Khanin · Numerical Analysis and Applications · 2015
There exist well-known inversion conditions and inverse operators for truncated two-dimensional convolution operators on sets with smooth boundaries. Corner points present additional problems. Equations with multidimensional convolution operators on polyhedra are considered. An approximate solution method is proposed, and errors estimates are obtained. Approximate solution of these equations with multidimensional cyclic matrices is also investigated.