Two-Parameter Block Triangular Splitting Preconditioner for Block Two-by-Two Linear Systems
Bo Wu , Xingbao Gao
Communications on Applied Mathematics and Computation ›› 2022, Vol. 5 ›› Issue (4) : 1601 -1615.
Two-Parameter Block Triangular Splitting Preconditioner for Block Two-by-Two Linear Systems
This paper proposes a two-parameter block triangular splitting (TPTS) preconditioner for the general block two-by-two linear systems. The eigenvalues of the corresponding preconditioned matrix are proved to cluster around 0 or 1 under mild conditions. The limited numerical results show that the TPTS preconditioner is more efficient than the classic block-diagonal and block-triangular preconditioners when applied to the flexible generalized minimal residual (FGMRES) method.
National Natural Science Foundation of China(61273311)
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