A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. - John W. Pearson; Andrew J. Wathen (Numer. Linear Algebra Appl., 2012)

Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems. - John W. Pearson; Martin Stoll; Andrew J. Wathen (SIAM J. Matrix Anal. Appl., 2012)

A radial basis function method for solving PDE-constrained optimization problems. - John W. Pearson (Numer. Algorithms, 2013)

Fast Iterative Solution of Reaction-Diffusion Control Problems Arising from Chemical Processes. - John W. Pearson; Martin Stoll (SIAM J. Sci. Comput., 2013)

Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function. - John W. Pearson; Martin Stoll; Andrew J. Wathen (Numer. Linear Algebra Appl., 2014)

Preconditioned iterative methods for Navier-Stokes control problems. - John W. Pearson (J. Comput. Phys., 2015)

Fast tensor product solvers for optimization problems with fractional differential equations as constraints. - Sergey Dolgov; John W. Pearson; Dmitry V. Savostyanov; Martin Stoll (Appl. Math. Comput., 2016)

Fast solvers for optimal control problems from pattern formation. - Martin Stoll; John W. Pearson; Philip K. Maini (J. Comput. Phys., 2016)

Numerical methods for the computation of the confluent and Gauss hypergeometric functions. - John W. Pearson; Sheehan Olver; Mason A. Porter (Numer. Algorithms, 2017)

Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization. - John W. Pearson; Jacek Gondzio (Numerische Mathematik, 2017)

A Preconditioner for the Ohta-Kawasaki Equation. - Patrick E. Farrell; John W. Pearson (SIAM J. Matrix Anal. Appl., 2017)

Refined saddle-point preconditioners for discretized Stokes problems. - John W. Pearson; Jennifer Pestana; David J. Silvester (Numerische Mathematik, 2018)

Fast iterative solvers for an optimal transport problem. - Roland Herzog; John W. Pearson; Martin Stoll (Adv. Comput. Math., 2019)

Preconditioners and Tensor Product Solvers for Optimal Control Problems from Chemotaxis. - Sergey Dolgov; John W. Pearson (SIAM J. Sci. Comput., 2019)

PDE-Constrained Optimization Models and Pseudospectral Methods for Multiscale Particle Dynamics. - Mildred Aduamoah; Benjamin D. Goddard; John W. Pearson; Jonna C. Roden (CoRR, 2020)

Parameter-robust preconditioning for the optimal control of the wave equation. - Jun Liu 025; John W. Pearson (Numer. Algorithms, 2020)

Interior-point methods and preconditioning for PDE-constrained optimization problems involving sparsity terms. - John W. Pearson; Margherita Porcelli; Martin Stoll (Numer. Linear Algebra Appl., 2020)

Fast Solution Methods for Convex Quadratic Optimization of Fractional Differential Equations. - Spyridon Pougkakiotis; John W. Pearson; Santolo Leveque; Jacek Gondzio (SIAM J. Matrix Anal. Appl., 2020)

Saddle point preconditioners for weak-constraint 4D-Var. - Jemima M. Tabeart; John W. Pearson (CoRR, 2021)

A Note On Symmetric Positive Definite Preconditioners for Multiple Saddle-Point Systems. - John W. Pearson; Andreas Potschka (CoRR, 2021)

A Preconditioned Inexact Active-Set Method for Large-Scale Nonlinear Optimal Control Problems. - John W. Pearson; Andreas Potschka (CoRR, 2021)

A new preconditioning approach for an interior point-proximal method of multipliers for linear and convex quadratic programming. - Luca Bergamaschi; Jacek Gondzio; Ángeles Martínez 001; John W. Pearson; Spyridon Pougkakiotis (Numer. Linear Algebra Appl., 2021)

General-purpose preconditioning for regularized interior point methods. - Jacek Gondzio; Spyridon Pougkakiotis; John W. Pearson (Comput. Optim. Appl., 2022)

MultiShape: A Spectral Element Method, with Applications to Dynamic Density Functional Theory and PDE-Constrained Optimization. - Jonna C. Roden; Rory D. Mills-Williams; John W. Pearson; Benjamin D. Goddard (CoRR, 2022)

Fast iterative solver for the optimal control of time-dependent PDEs with Crank-Nicolson discretization in time. - Santolo Leveque; John W. Pearson (Numer. Linear Algebra Appl., 2022)

Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier-Stokes Control. - Santolo Leveque; John W. Pearson (SIAM J. Sci. Comput., 2022)

Fast Iterative Solver for the All-at-Once Runge-Kutta Discretization. - Santolo Leveque; Luca Bergamaschi; Ángeles Martínez 001; John W. Pearson (CoRR, 2023)

A Preconditioned Interior Point Method for Support Vector Machines Using an ANOVA-Decomposition and NFFT-Based Matrix-Vector Products. - Theresa Wagner; John W. Pearson; Martin Stoll (CoRR, 2023)

Diagonalization-Based Parallel-in-Time Preconditioners for Instationary Fluid Flow Control Problems. - Bernhard Heinzelreiter; John W. Pearson (CoRR, 2024)

Efficient nonlocal linear image denoising: Bilevel optimization with Nonequispaced Fast Fourier Transform and matrix-free preconditioning. - Andrés Miniguano-Trujillo; John W. Pearson; Benjamin D. Goddard (CoRR, 2024)

Fast numerical solvers for parameter identification problems in mathematical biology. - Karolína Benková; John W. Pearson; Mariya Ptashnyk (CoRR, 2024)

Automatic Differentiation for All-at-once Systems Arising in Certain PDE-Constrained Optimization Problems. - Santolo Leveque; James R. Maddison; John W. Pearson (CoRR, 2024)

A Framework for the Solution of Tree-Coupled Saddle-Point Systems. - Christoph Hansknecht; Bernhard Heinzelreiter; John W. Pearson; Andreas Potschka (CoRR, 2024)

Parallel-in-Time Solver for the All-at-Once Runge-Kutta Discretization. - Santolo Leveque; Luca Bergamaschi; Ángeles Martínez 001; John W. Pearson (SIAM J. Matrix Anal. Appl., 2024)

Double saddle-point preconditioning for Krylov methods in the inexact sequential homotopy method. - John W. Pearson; Andreas Potschka (Numer. Linear Algebra Appl., 2024)

Spectral analysis of block preconditioners for double saddle-point linear systems with application to PDE-constrained optimization. - Luca Bergamaschi; Ángeles Martínez 001; John W. Pearson; Andreas Potschka (Comput. Optim. Appl., 2025)

Eigenvalue bounds for preconditioned symmetric multiple saddle-point matrices. - Luca Bergamaschi; Angeles Martinez 001; John W. Pearson; Andreas Potschka (CoRR, 2025)

Block Alpha-Circulant Preconditioners for All-at-Once Diffusion-Based Covariance Operators. - Jemima M. Tabeart; Selime Gürol; John W. Pearson; Anthony T. Weaver (CoRR, 2025)

Stabilizing randomized GMRES through flexible GMRES. - Stefan Güttel; John W. Pearson (CoRR, 2025)

Parallel-in-Time Preconditioning for Time-Dependent Variational Mean Field Games. - Heidi Wolles Ljósheim; Dante Kalise; John W. Pearson; Francisco J. Silva (CoRR, 2025)