Standard Krylov subspace solvers for self-adjoint problems have rigorous convergence
bounds based solely on eigenvalues. However, for non-self-adjoint problems, eigenvalues …

Based on the generic “static‐dynamic‐static” framework for strongly coupled basis vectors
(Liu and Hoffman, Theor. Chem. Acc. 2014, 133, 1481), an iterative Vector Interaction (iVI) …

In this paper, we generalize a fast Fourier transforms (FFTs) based preconditioner and
propose a novel α-absolute value preconditioner for all-at-once systems from heat …

The recently proposed iterative vector interaction (iVI) method for large Hermitian
eigenvalue problems (Huang et al., J. Comput. Chem. 2017, 38, 2481) is extended to …

Nonlinear multigrid methods such as the Full Approximation Scheme (FAS) and Newton-
multigrid (Newton-MG) are well established as fast solvers for nonlinear PDEs of elliptic and …

Efficient computation of extreme eigenvalues of large-scale linear Hermitian eigenproblems
can be achieved by preconditioned conjugate gradient (PCG) methods. In this paper, we …

We consider the solution of large-scale nonlinear algebraic Hermitian eigenproblems of the
form T(λ)v=0 that admit a variational characterization of eigenvalues. These problems arise …

Abstract Model predictive control (MPC) anticipates future events to take appropriate control
actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or …

We propose a preconditioned locally harmonic residual (PLHR) method for computing
several interior eigenpairs of a generalized Hermitian eigenvalue problem, without …

We propose a two-level nested preconditioned iterative scheme for solving sparse linear
systems of equations in which the coefficient matrix is symmetric and indefinite with a …