Papers

• Universal Regularization Methods: Varying the Power, the Smoothness and the Accuracy

  C Cartis; NI Gould; PL Toint;

  Type: Journal Article

  Published in: SIAM Journal on Optimization

• Strengths and limitations of stretching for least-squares problems with some dense rows

  J Scott; M Tuma;

  Type: Preprint

  Published in: ACM Transactions on Mathematical Software

• On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces

  C Cartis; NIM Gould; M Lange;

  Type: Journal Article

  Published in: BIT Numerical Mathematics

• Design and implementation of a parallel Markowitz Threshod Algorithm

  T Davis; IS Duff; S Nakov;

  Type: Report

  Published in: Rutherford Appleton Laboratory Technical Reports (- 2022)

• Experiments with Sparse Cholesky Using a Parametrized Task Graph Implementation

  I Duff; F Lopez;

  Type: Journal Article

  Published in: Parallel Processing and Applied Mathematics

• Convergence and evaluation-complexity analysis of a regularized tensor-Newton method for solving nonlinear least-squares problems subject to convex constraints

  NIM Gould; T Rees; JA Scott;

  Type: Report

  Published in: Rutherford Appleton Laboratory Technical Reports (- 2022)

• Error estimates for iterative algorithms for minimizing regularized quadratic subproblems

  NIM Gould; V Simoncini;

  Type: Report

  Published in: Rutherford Appleton Laboratory Technical Reports (- 2022)

• On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces

  C Cartis; NIM Gould; M Lange;

  Type: Report

  Published in: Rutherford Appleton Laboratory Technical Reports (- 2022)

• On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces

  C Cartis; NIM Gould; M Lange;

  Type: Author Accepted Manuscript

  Published in: BIT Numerical Mathematics

• Sparse stretching for solving sparse-dense linear least-squares problems

  JA Scott; M Tůma;

  Type: Author Accepted Manuscript

  Published in: SIAM Journal on Scientific Computing

• Convergence and evaluation-complexity analysis of a regularized tensor-Newton method for solving nonlinear least-squares problems

  NIM Gould; T Rees; JA Scott;

  Type: Journal Article

  Published in: Computational Optimization and Applications

• Error estimates for iterative algorithms for minimizing regularized quadratic subproblems

  NIM Gould; V Simoncini;

  Type: Journal Article

  Published in: Optimization Methods and Software

• Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation

  I Dauzickaite; AS Lawless; JA Scott; PJ van Leeuwen;

  Type: Preprint

  Published in: Numerical Linear Algebra with Applications

• Optimality of orders one to three and beyond: Characterization and evaluation complexity in constrained nonconvex optimization

  C Cartis; N Gould; P Toint;

  Type: Journal Article

  Published in: Journal of Complexity

• Sparse Stretching for Solving Sparse-Dense Linear Least-Squares Problems

  JA Scott; M Tůma;

  Type: Journal Article

  Published in: SIAM Journal on Scientific Computing

• A concise second-order complexity analysis for unconstrained optimization using high-order regularized models

  C Cartis; NIM Gould; PL Toint;

  Type: Journal Article

  Published in: Optimization Methods and Software

• Evaluation Complexity Bounds for Smooth Constrained Nonlinear Optimization Using Scaled KKT Conditions and High-Order Models

  C Cartis; NIM Gould; PL Toint;

  Type: Book Chapter or Section

  Published in: Springer Optimization and Its Applications

• Parallelization of the solve phase in a task-based Cholesky solver using a sequential task flow model

  S Cayrols; IS Duff; F Lopez;

  Type: Journal Article

  Published in: The International Journal of High Performance Computing Applications