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The Convergences of Multisplitting Parallel Methods for Non-Hermitian Positive Definite Systems

机译:非Hermitian正定系统的多重分裂并行方法的收敛性

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We present the convergent splitting and convergent multi splitting for linear system of algebraic equations Ax=b when the coefficient matrix is a non-hermitian positive definite matrix. Furthermore, we also establish the comparison theorems of different splitting or multisplittings by numerical radius. Finally, we give an application to solve the complex linear system.
机译:当系数矩阵是非埃尔米特式正定矩阵时,我们给出了代数方程Ax = b线性系统的收敛分裂和收敛多重分裂。此外,我们还通过数值半径建立了不同分裂或多重分裂的比较定理。最后,我们给出了解决复杂线性系统的应用程序。

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