Nonstationary multisplittings with general weighting matrices for non-Hermitian positive definite systems

DOI10.1016/S0893-9659(03)90017-6zbMath1055.65046MaRDI QIDQ1431840

Chuan-Long Wang

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Positive definite matrixParallel algorithmMultisplittingNon-Hermitian matrix

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (max. 100)

Convergence theorems for block splitting iterative methods for linear systems ⋮ Generalizations of the nonstationary multisplitting iterative method for symmetric positive definite linear systems ⋮ Nonstationary multisplittings with general weighting matrices for mildly nonlinear systems ⋮ Parallel multisplitting two-stage iterative methods with general weighting matrices for non-symmetric positive definite systems

Cites Work

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• A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices
• Parallel, synchronous and asynchronous two-stage multisplitting methods
• Nonstationary Multisplittings with General Weighting Matrices
• Projection and deflation method for partial pole assignment in linear state feedback
• Preconditioned Krylov Subspace Methods for Lyapunov Matrix Equations
• Sufficient conditions for the convergent splittings of non-Hermitian positive definite matrices

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