- Michael Connolly. Probabilistic Rounding Error Analysis for Numerical Linear Algebra. Ph.D., University of Manchester, 2022.
- Xiaobo (Bob) Liu. Computing Matrix Functions in Arbitrary Precision Arithmetic. Ph.D., University of Manchester, 2022.
- Massimiliano Fasi. Computing Matrix Functions in Arbitrary Precision Arithmetic. Ph.D., University of Manchester, May 2019.
- Weijian Zhang. Evolving Graphs and Similarity-Based Graphs with Applications. Ph.D. Thesis, 2018.
- Bahar Arslan. Functions of Structured Matrices. Ph.D. Thesis, 2016.
- Nataša Strabić. Theory and Algorithms for Matrix Problems with Positive Semidefinite Constraints. Ph.D. Thesis, 2016.
- Mary Aprahamian. Theory and Algorithms for Periodic Functions of Matrices, with Applications. Ph.D. Thesis, 2015.
- Ramaseshan Kannan. Numerical Linear Algebra Problems in Structural Analysis, Ph.D. Thesis, 2014.
- Sam Relton. Algorithms for Matrix Functions, their Fréchet Derivatives, and Condition Numbers, Ph.D. Thesis, 2014.
- Rüdiger Borsdorf. Structured Matrix Nearness Problems: Theory and Algorithms, Ph.D. Thesis, 2012.
- Awad Al-Mohy. Algorithms for the Matrix Exponential and its Fréchet Derivative, Ph.D. Thesis, 2010.
- Lijing Lin. Roots of Stochastic Matrices and Fractional Matrix Powers, Ph.D. Thesis, 2010.
- D. Steven Mackey. Structured Linearizations for Matrix Polynomials, Ph.D. Thesis, 2006.
- Gareth Hargreaves. Topics in Matrix Computations: Stability and Efficiency of Algorithms, Ph.D. Thesis, 2005.
- Craig Lucas. Algorithms for Cholesky and QR Factorizations, and the Semidefinite Generalized Eigenvalue Problem, Ph.D. Thesis, 2004.
- Harikrishna Patel. Solving Indefinite Least Squares Problems, Ph.D. Thesis, 2002.
- Matthew Smith. Numerical Computation of Matrix Functions , Ph.D. Thesis, 2002.
- Philip Davies. Solving the Symmetric Definite Generalized Eigenvalue Problem, Ph.D. Thesis, 2000.
- Hyun Min Kim. Numerical Methods for Solving a Quadratic Matrix Equation, Ph.D. Thesis, 2000.
- Bobby Cheng. Symmetric Indefinite Matrices: Linear System Solvers and Modified Inertia Problems, Ph.D. Thesis, 1998.
- Tony Cox. Stability of Algorithms for Solving Weighted and Constrained Least Squares Problems, Ph.D. Thesis, 1997.
- Philip Knight. Error Analysis of Stationary Iteration and Associated Problems, Ph.D. Thesis, 1993.
- Pythagoras Papadimitriou. Parallel Solution of SVD-Related Problems, With Applications, Ph.D. Thesis, 1993.
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