Papers

• An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity

  C Cartis; NIM Gould; Ph L Toint;

  Type: Report

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

• A second derivative SQP method: local convergence

  NIM Gould; DP Robinson;

  Type: Report

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

• A DAG-based sparse Cholesky solver for multicore architectures

  J Hogg; J Reid; J Scott;

  Type: Presentation

• Development and history of sparse direct methods

  IS Duff;

  Type: Presentation

• The importance of structure in algebraic preconditioners

  JA Scott; M Tuma;

  Type: Presentation

• Coarrays in Fortran 2008

  JK Reid;

  Type: Presentation

• A second derivative SQP method: global convergence

  NIM Gould; DP Robinson;

  Type: Report

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

• A second derivative trust-region SQP method with a "trust-region-free" predictor step

  NIM Gould; DP Robinson;

  Type: Report

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

• Design of a multicore sparse Cholesky factorization using DAGs

  JD Hogg; JK Reid; JA Scott;

  Type: Report

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

• A DAG-based sparse Cholesky solver for multicore architectures

  JD Hogg; JK Reid; JA Scott;

  Type: Report

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

• A note on a simple constrained ordering for saddle-point systems

  JA Scott;

  Type: Report

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

• An out-of-core sparse Cholesky solver

  JK Reid; JA Scott;

  Type: Journal Article

  Published in: ACM Transactions on Mathematical Software

• Combinatorial problems in solving linear systems

  IS Duff; B Ucar;

  Type: Report

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

• Partial factorization of a dense symmetric indefinite matrix

  JK Reid; JA Scott;

  Type: Report

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

• On accurate and time efficient solution of primal-mixed finite element equations in multiscale solid mechanics

  IS Duff; D Mijuca;

  Type: Report

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

• Algorithm 891 : a Fortran Virtual Memory System

  JK Reid; JA Scott;

  Type: Journal Article

  Published in: ACM Transactions on Mathematical Software

• Using FGMRES to obtain backward stability in mixed precision

  M Arioli; IS Duff;

  Type: Journal Article

  Published in: Electronic Transactions on Numerical Analysis

• Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results

  C Cartis; NIM Gould; PL Toint;

  Type: Journal Article

  Published in: Mathematical Programming

• An efficient out-of-core multifrontal solver for large-scale unsymmetric element problems

  JK Reid; JA Scott;

  Type: Journal Article

  Published in: International Journal for Numerical Methods in Engineering

• Trust-region and other regularisations of linear least-squares problems

  C Cartis; NIM Gould; PL Toint;

  Type: Journal Article

  Published in: BIT Numerical Mathematics

• On the complexity of steepest descent, Newton’s method and regularized Newton methods for nonconvex unconstrained optimization

  C Cartis; NIM Gould; Toint PL;

  Type: Report

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

• A second derivative SQP method: global convergence

  NIM Gould; DP Robinson;

  Type: Journal Article

  Published in: SIAM Journal on Optimization

• Design of a multicore sparse Cholesky factorization using DAGs

  JD Hogg; JK Reid; JA Scott;

  Type: Journal Article

  Published in: SIAM Journal on Scientific Computing

• Partial factorization of a dense symmetric indefinite matrix

  JK Reid; JA Scott;

  Type: Journal Article

  Published in: ACM Transactions on Mathematical Software