The aim of this survey is to review some recent developments in devising efficient
preconditioners for sequences of symmetric positive definite (SPD) linear systems A kxk= bk …

Interior point methods (IPM) rely on the Newton method for solving systems of nonlinear
equations. Solving the linear systems which arise from this approach is the most …

Structural problems play a critical role in many areas of science and engineering. Their
efficient and accurate solution is essential for designing and optimising civil engineering …

Quasi-Newton methods are well known techniques for large-scale numerical optimization.
They use an approximation of the Hessian in optimization problems or the Jacobian in …

We focus on efficient preconditioning techniques for sequences of Karush‐Kuhn‐Tucker
(KKT) linear systems arising from the interior point (IP) solution of large convex quadratic …

In this paper, we address the preconditioned iterative solution of the saddle-point linear
systems arising from the (regularized) Interior Point method applied to linear and quadratic …

Many applications in structural mechanics require the numerical solution of sequences of
linear systems typically issued from a finite element discretization of the governing equations …

We introduce a class of positive definite preconditioners for the solution of large symmetric
indefinite linear systems or sequences of such systems, in optimization frameworks. The …

Updating preconditioners for the solution of sequences of large and sparse saddlepoint
linear systems via Krylov methods has received increasing attention in the last few years …

Usage example of the Sapthesis class for a PhD thesis Advances in large scale
unconstrained optimization: novel preconditioning strategies for Nonlinear Conjugate …