
doi: 10.1007/bf01385795
The authors discuss certain block matrices that are natural block- generalizations of \(Z\)-matrices and \(M\)-matrices and arise in the numerical solution of Euler equations in the area of computational fluid mechanics. They investigate the properties of such matrices and, in particular, give a proof for the convergence of block iterative methods for linear systems with such system matrices.
Iterative numerical methods for linear systems, Euler-Poisson-Darboux equations, Positive matrices and their generalizations; cones of matrices, \(Z\)-matrices, convergence, block iterative methods, Finite difference methods for initial value and initial-boundary value problems involving PDEs, block matrices, Euler equations, \(M\)-matrices, 510
Iterative numerical methods for linear systems, Euler-Poisson-Darboux equations, Positive matrices and their generalizations; cones of matrices, \(Z\)-matrices, convergence, block iterative methods, Finite difference methods for initial value and initial-boundary value problems involving PDEs, block matrices, Euler equations, \(M\)-matrices, 510
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