Papers
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Universal regularization methods-varying the power, the smoothness and the accuracy
C Cartis; NIM Gould; PL Toint;
Type: Preprint
Published in: SIAM Journal on Optimization
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The iterative solution of linear systems arising in the primal-dual interior point algorithm for linear programming
T Rees;
Type: Preprint
Published in: SIAM Journal on Scientific Computing
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Numerically-aware nested dissection ordering
JD Hogg; JA Scott; HS Thorne;
Type: Presentation
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A universal preconditioner for simulating condensed phase materials
D Packwood; J Kermode; L Mones; N Bernstein; J Woolley; N Gould; C Ortner; G Csányi;
Type: Journal Article
Published in: The Journal of Chemical Physics
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Numerically-aware orderings for sparse symmetric linear systems
JD Hogg; JA Scott; HS Thorne;
Type: Preprint
Published in: ACM Transactions on Mathematical Software
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On using Cholesky-based factorizations for solving rank-deficient sparse linear least-squares problems
JA Scott;
Type: Preprint
Published in: SIAM Journal on Scientific Computing
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On the use of iterative methods and blocking for solving sparse triangular systems in incomplete factorization preconditioning
E Chow; JA Scott;
Type: Preprint
Published in: SIAM Journal on Scientific Computing
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Corrigendum: On the complexity of finding first-order critical points in constrained nonlinear optimization
C Cartis; NIM Gould; PL Toint;
Type: Journal Article
Published in: Mathematical Programming
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Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver
PD Dunning; E Ovtchinnikov; J Scott; HA Kim;
Type: Journal Article
Published in: International Journal for Numerical Methods in Engineering
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A synchronization-free algorithm for parallel sparse triangular solves
W Liu; A Li; J Hogg; IS Duff; B Vinter;
Type: Paper In Conference Proceedings
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Second-order optimality and beyond: characterization and evaluation complexity in nonconvex convexly-constrained optimization
C Cartis; NIM Gould; PL Toint;
Type: Preprint
Published in: Foundations of Computational Mathematics
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A dual gradient-projection method for large-scale strictly convex quadratic problems
NIM Gould; DP Robinson;
Type: Journal Article
Published in: Computational Optimization and Applications
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An interior-point trust-funnel algorithm for nonlinear optimization
FE Curtis; NIM Gould; DP Robinson; PL Toint;
Type: Journal Article
Published in: Mathematical Programming
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The state-of-the-art of preconditioners for sparse linear least-squares problems
NIM Gould;
Type: Report
Published in: Rutherford Appleton Laboratory Preprints (- 2022)
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Experiments with sparse Cholesky using a sequential task-flow implementation
I Duff; J Hogg; F Lopez;
Type: Report
Published in: Rutherford Appleton Laboratory Technical Reports (- 2022)
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A universal preconditioner for simulating condensed phase materials
D Packwood; JR Kermode; L Mones; N Bernstein; J Woolley; NIM Gould; C Ortner; G Csanyi;
Type: Preprint
Published in: The Journal of Chemical Physics
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A Fast Solver for an H1 Regularized PDE-Constrained Optimization Problem
AT Barker; T Rees; M Stoll;
Type: Journal Article
Published in: Communications in Computational Physics
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A dual gradient-projection method for large-scale strictly convex quadratic probems
NIM Gould; DP Robinson;
Type: Preprint
Published in: Computational Optimization and Applications
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Preconditioning of linear least squares by robust incomplete factorization for implicitly held normal equations
J Scott; M Tuma;
Type: Journal Article
Published in: SIAM Journal on Scientific Computing
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Null-space preconditioners for saddle point systems
J Pestana; T Rees;
Type: Journal Article
Published in: SIAM Journal on Matrix Analysis and Applications
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Preconditioning of linear least squares by robust incomplete factorization for implicitly held normal equations
J Scott; M Tuma;
Type: Article (Published Version)
Published in: SIAM Journal on Scientific Computing
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A max-plus approach to incomplete Cholesky factorization preconditioners
J Hogg; J Hook; J Scott; F Tisseur;
Type: Preprint
Published in: SIAM Journal on Scientific Computing
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A note on performance profiles for benchmarking software
N Gould; J Scott;
Type: Journal Article
Published in: ACM Transactions on Mathematical Software
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A note on performance profiles for benchmarking software
N Gould; J Scott;
Type: Author Accepted Manuscript
Published in: ACM Transactions on Mathematical Software
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A dimer-type saddle search algorithm with preconditioning and linesearch
N Gould; C Ortner; D Packwood;
Type: Journal Article
Published in: Mathematics of Computation
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Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver
PD Dunning; E Ovtchinnikov; J Scott; HA Kim;
Type: Author Accepted Manuscript
Published in: International Journal for Numerical Methods in Engineering
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Nested dissection revisited
C Ashcraft; I Duff; J Hogg; JA Scott; S Thorne;
Type: Report
Published in: Rutherford Appleton Laboratory Technical Reports (- 2022)
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A Sparse Symmetric Indefinite Direct Solver for GPU Architectures
JD Hogg; E Ovtchinnikov; JA Scott;
Type: Journal Article
Published in: ACM Transactions on Mathematical Software
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Preconditioning of linear least squares by RIF for implicitly held normal equations
J Scott; M Tuma;
Type: Preprint
Published in: SIAM Journal on Scientific Computing