On a class of matrices which arise in the numerical solution of Euler equations

DOI10.1007/BF01385868zbMath0764.65019MaRDI QIDQ1195912

Reinhard Nabben

Publication date: 2 February 1993

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133688

zbMATH Keywords

convergenceEuler equationsiterative methodsblock matricesblock Gauss-Seidel methodblock Jacobi methodblock tridiagonal matricesgeneralized \(H\)- matricesincomplete LDU- factorization

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10)

Related Items (10)

Block analogies of comparison matrices ⋮ A necessary and sufficient condition for \(M\)-matrices and its relation to block \(LU\) factorization ⋮ Matrix compensation and diagonal compensation ⋮ On parallel multisplitting block iterative methods for linear systems arising in the numerical solution of Euler equations ⋮ Some new conditions for generalized H-matrices ⋮ Classes of general \(H\)-matrices ⋮ On generalized \(H\)-matrices ⋮ A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations ⋮ Convergence of block iterative methods for linear systems with generalized \(H\)-matrices ⋮ Matrices whose inverses are generalizedM-matrices

Cites Work

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• Convergence of parallel multisplitting iterative methods for M-matrices
• Multiple grid and Osher's scheme for the efficient solution of the steady Euler equations
• Regular incomplete factorizations of real positive definite matrices
• Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations
• On recurring theorems on diagonal dominance
• Block M-Matrices and Computation of Invariant Tori
• Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type

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