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On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems
SIAM Journal on Numerical Analysis, 2015Summary: We study the numerical behavior of stationary one-step or two-step matrix splitting iteration methods for solving large sparse systems of linear equations. We show that inexact solutions of inner linear systems associated with the matrix splittings may considerably influence the accuracy of the approximate solutions computed in finite ...
Bai, Z.-Z., Rozložník, M. (Miroslav)
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Numerical accuracy of a certain class of iterative methods for solving linear system
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salkuyeh, Davod Khojasteh +1 more
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Numerical Stability of Krylov Subspace Iterative Methods for Solving Linear Systems
2002This work gives realistic residual norm bounds for the solution of linear system in the Krylov subspace framework.
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