The hazards of symbolic definite integration (a continuing saga)

We study the HSS iteration method for large sparse non-Hermitian positive definite Toeplitz linear systems, which first appears in Bai, Golub and Ng's paper published in 2003 [Z.-Z. Bai, G.H. Golub, M.K. Ng, Hermitian and skew-Hermitian splitting ...

Incomplete LDL^* factorizations sometimes produce an indefinite preconditioner even when the input matrix is Hermitian positive definite. The two most popular iterative solvers for symmetric systems, CG and MINRES, cannot use such preconditioners; they ...

Based on the SSOR-like iteration method of Bai (Numer. Linear Algebra Appl. 23, 37-60, 2016), we give a shifted SSOR-like preconditioner which is positive definite for solving the non-Hermitian positive definite linear system with a dominant Hermitian ...