ESTIMATES OF THE p-NORMS OF SOLUTIONS AND INVERSE MATRICES OF SYSTEMS OF LINEAR EQUATIONS WITH A CIRCULANT MATRIX

The problem of estimating solutions and inverse matrices of systems of linear equations with a circulant matrix in the p-norm, 1 < p < w, is considered. An estimate is obtained for a circulant matrix with diagonal dominance. Based on this result and the idea of decomposing a matrix into a product of matrices related to the decomposition of the characteristic polynomial, an estimate is proposed for a general circulant matrix.