On some extensions of the accelerated overrelaxation (AOR) theory.

Hadjidimos, A.; YeYios, A.

Displaying similar documents to “On some extensions of the accelerated overrelaxation (AOR) theory.”

Hermitian nonnegative-definite and positive-definite solutions of the matrix equation $A X B = C$ .

Zhang, Xian (2004)

Applied Mathematics E-Notes [electronic only]

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Inertias and ranks of some Hermitian matrix functions with applications

Xiang Zhang, Qing-Wen Wang, Xin Liu (2012)

Open Mathematics

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Let S be a given set consisting of some Hermitian matrices with the same size. We say that a matrix A ∈ S is maximal if A − W is positive semidefinite for every matrix W ∈ S. In this paper, we consider the maximal and minimal inertias and ranks of the Hermitian matrix function f(X,Y) = P − QXQ* − TYT*, where * means the conjugate and transpose of a matrix, P = P*, Q, T are known matrices and for X and Y Hermitian solutions to the consistent matrix equations AX =B and YC = D respectively....

Necessary and sufficient conditions for the existence of a Hermitian positive definite solution of a type of nonlinear matrix equations.

Zhao, Wenling, Li, Hongkui, Liu, Xueting, Xu, Fuyi (2009)

Mathematical Problems in Engineering

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Extrapolated positive definite and positive semi-definite splitting methods for solving non-Hermitian positive definite linear systems

Raheleh Shokrpour, Ghodrat Ebadi (2022)

Applications of Mathematics

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Recently, Na Huang and Changfeng Ma in (2016) proposed two kinds of typical practical choices of the PPS method. In this paper, we extrapolate two versions of the PPS iterative method, and we introduce the extrapolated Hermitian and skew-Hermitian positive definite and positive semi-definite splitting (EHPPS) iterative method and extrapolated triangular positive definite and positive semi-definite splitting (ETPPS) iterative method. We also investigate convergence analysis and consistency...