TY - JOUR AB - We discuss block matrices of the form A = [A(ij)], where A(ij) is a k x k symmetric matrix, A(ii) is positive definite and A(ij) is negative semidefinite. These matrices are natural block-generalizations of Z-matrices and M-matrices. Matrices of this type arise in the numerical solution of Euler equations in fluid flow computations. We discuss properties of these matrices, in particular we prove convergence of block iterative methods for linear systems with such system matrices. DA - 1991 DO - 10.1007/BF01385795 LA - eng IS - 1 M2 - 541 PY - 1991 SN - 0029-599X SP - 541-559 T2 - Numerische Mathematik TI - Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations UR - https://nbn-resolving.org/urn:nbn:de:0070-pub-17749205 Y2 - 2024-11-22T08:41:31 ER -