We examine condition numbers, preconditioners, and iterative methods for finite element discretizations of coercive PDEs in the context of the fundamental solvability result, the L...
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Abstract. An iterative method LSMR is presented for solving linear systems Ax = b and leastsquares problem min Ax - b 2, with A being sparse or a fast linear operator. LSMR is base...
Abstract. ILU(k) is a commonly used preconditioner for iterative linear solvers for sparse, non-symmetric systems. It is often preferred for the sake of its stability. We present T...
Abstract. CG, SYMMLQ, and MINRES are Krylov subspace methods for solving large symmetric systems of linear equations. CG (the conjugate-gradient method) is reliable on positive-def...
Sou-Cheng T. Choi, Christopher C. Paige, Michael A...