Matrices or operators in two-by-two block form with square blocks arise in numerous
important applications, such as in optimal control problems for PDEs. The problems are …

The preconditioned modified Hermitian/skew-Hermitian splitting (PMHSS) iteration method
and the corresponding preconditioning technique can achieve satisfactory results for solving …

This work investigates the iterative solution of complex symmetric linear systems with
indefinite matrix term. Based on a technical equivalent reformulation of the original indefinite …

In this paper, the efficient preconditioned modified Hermitian and skew-Hermitian splitting
(PMHSS) iteration method is further explored and it is extended to solve more general block …

In this paper, we consider applying the Chebyshev acceleration technique to improve the
convergence behavior of some iteration methods for solving the two-by-two block linear …

Two-by-two block matrices with square blocks arise in the numerical treatment of numerous
applications of practical significance, such as optimal control problems, constrained by a …

Based on two triangular splitting of the coefficient matrix, a modified upper and lower
triangular (MULT) splitting iterative method is proposed in this paper for solving a class of …

Fluid flow control problems play a crucial role in various industrial applications. The optimal
control of the Navier-Stokes equations poses a significant challenge. By employing Oseen's …

In this dissertation, some modified stationary and non-stationary iterative methods for solving
system of linear equations were studied. There are different techniques to modify stationary …

In this paper, we consider iterative solution of certain large scale block two-by-two linear
systems arising from numerical solution process of some PDE-constrained optimal control …