In this article,we derive upper bounds of different growth factors for the LU factorization,which are dominated by A_(11)(k)^(-1)A_(12)(k),A_(21)(k)A_(11)(k)^(-1), where A_(11)(k),A_(12)(k),A_(21)(k),A_(22)(k(are sub-matrices of A.We also derive upper bounds of growth factors for the Cholesky factorization.Numerical examples are presented to verify our findings.
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