New open access book 2023 Algorithms for Sparse Linear Systems by Scott and Tuma.

After completing her D Phil thesis "A unified analysis of discretisation methods" at Oxford in 1984, Jennifer was awarded a Junior Research Fellowship at St. John's College, Oxford. After eighteen months, she left Oxford to take up a position in the Theoretical Physics Department of the National Radiological Protection Board in south Oxfordshire.

In 1987, Jennifer joined the Numerical Analysis Group at the Harwell Laboratory. The Group moved to the Atlas Centre at the Rutherford Appleton Laboratory in 1990. In 2007, she became the Group Leader, a role she continued until 2018 (with the Group changing its name to the Computational Mathematics Group in 2017). In 2011, Jennifer became an STFC Individual Merit Research Fellow. Much of her work at STFC and that of the Group has been funded by EPSRC research grants. She is the author of many software packages that are available within the HSL Mathematical Software Library.

New Report to celebrate the 60th anniversary of HSL

In 2016, Jennifer was appointed Professor of Mathematics at the University of Reading. She now works part time (2 days a week) for STFC and spends the rest of her time at the University of Reading. She was Director at Reading of the EPSRC Centre for Doctoral Training in the Mathematics of Planet Earth from 2016 to 2022. She is currently the Director at Reading of the new EPSRC Centre for Doctoral Training in Mathematics for our Future Climate: Theory, Data and Simulations.

Jennifer is a SIAM Fellow. She was the President of SIAM UKIE (2021--23) and the Vice President (2015--17). She is also a Fellow of the Institute of Mathematics and its Applications (IMA) and was an elected member of the IMA Council (2013--16). She is an elected member of the IFIP Working Group 2.5 on Numerical Software, she served on the Women in Mathematics Committee of the London Mathematical Society (2006--14) and on the SIAM Program Committee (2013--16). She is an Associate Editor of ACM Transactions on Mathematical Software and formerly an Associate Editor of the SIAM Journal of Scientific Computing (2016--2022).

• Numerical linear algebra (including direct and iterative methods and preconditioners)
• Algorithm design/implementation, especially for sparse linear systems, sparse least squares
• Large-scale scientific computation
• Mathematical software
• The Mathematics of Planet Earth

• Refereed articles
• 2024
• Avoiding breakdown in incomplete factorizations in low precision arithmetic
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  ACM Trans. Math. Softw., 24 pages, published online March 2024. DOI: 10.1145/3651155.
• 2023
• Approximating sparse Hessian matrices using large-scale linear least squares
  [Journal Article pdf]
  Jaroslav Fawkes, Nicholas Gould, and Jennifer Scott
  Numerical Algorithms, published online November 2023. DOI: 10.1007/s11075-023-01681-z.
• 2022
• Solving large linear least squares with linear equality constraints
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  BIT Numerical Mathematics, 2022. DOI: 10.1007/s10543-022-00930-2
• A computational study of using black-box QR solvers for large-scale sparse-dense linear least squares problems
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  ACM Trans. Math. Softw., 48, Number 1, Article 5, 24 pages, 2022. DOI: 10.1145/3494527.
• A robust algebraic domain decomposition preconditioner for sparse normal equations
  [Journal Article pdf]
  Hussam Al Daas, Pierre Jolivet, Jennifer Scott
  arXiv:2107.09006, SIAM J. Scientific Computing, 2022, 44(3), A1047--1068. DOI: 10.1137/21M1434891.
• A null-space approach for large-scale symmetric saddle point systems with a small and non zero (2,2) block
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  Numerical Algorithms, 2022, 90, 1639--1667. DOI: 10.1007/s11075-021-01245-z.
• 2021
• Two-level Nystrom-Schur preconditioner for sparse symmetric positive definite matrices
  [Journal Article pdf]
  Hussam Al Daas, Tyrone Rees, Jennifer Scott
  arXiv:2101.12164, SIAM J. Scientific Computing, 2021, 43(6), A3837--A3861. DOI: 10.1137/21M139548X
• Randomised preconditioning for the forcing formulation of weak constraint 4D-Var
  [Journal Article pdf]
  I. Dauzickaite, A.S. Lawless, J.A. Scott and P.J. van Leeuwen
  Quarterly Journal of the Royal Meteorological Society, 2021, 147:3719–3734. DOI: 10.1002/qj.4151.
• On time-parallel preconditioning for the state formulation of incremental weak constraint 4D-Var
  [Journal Article pdf]
  I. Dauzickaite, A.S. Lawless, J.A. Scott and P.J. van Leeuwen
  Quarterly Journal of the Meteorological Society, 2021, 147:3521–3529. DOI: 10.1002/qj.4140.
• Strengths and limitations of stretching for least-squares problems with some dense rows
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  ACM Trans. Math. Softw., 47, Number 1, Article 1, 25 pages, 2021. DOI: 10.1145/3412559.
• 2020
• Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation
  [Journal Article pdf]
  I. Dauzickaite, A.S. Lawless, J.A. Scott and P.J. van Leeuwen
  Numer. Lin. Alg. Applics., 27, Number 5, e2313, 24 pages, 2020, DOI: 10.1002/nla.2313
• 2019
• Convergence and evaluation-complexity analysis of a regularized tensor-Newton method for solving nonlinear least-squares problems
  [Journal Article pdf]
  N.I.M. Gould, T. Rees and J.A. Scott
  Computational Optimization and Applications. 73, Number 1, pp 1--35, 2019. DOI 10.1007/s10589-019-00064-2.
• Sparse stretching for solving sparse-dense linear least-squares problems
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  SIAM J. Sci. Computing. 41, Number 3, pp A1604--A1625, 2019.
• 2018
• A max-plus approach to incomplete Cholesky factorization preconditioners
  [Journal Article pdf]
  J. Hook, J. Scott, F. Tisseur and J. Hogg
  SIAM J. Sci. Computing. 40, Number 4, pp A1987--A2004, 2018.
• Using Jacobi iterations and blocking for solving sparse triangular systems in incomplete factorization preconditioning
  [Journal Article pdf]
  E. Chow, H. Antz, J. Scott and J. Dongarra
  Journal of Parallel and Distributed Computing, 119, pp 219--230, 2018.
• Preordering saddle-point systems for sparse LDLT factorization without pivoting
  [Journal Article pdf]
  S. Lungten, W. H. A. Schilders and J. A. Scott
  Numer. Lin. Alg. Applics., e2173, 2018. DOI: 10.1002/nla.2173.
• A Schur complement approach to preconditioning sparse linear least-squares problems with some dense rows
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  Numerical Algorithms. 79, pp 1147--1168, 2018. DOI: 10.1007/s11075-018-0478-2.
• A comparative study of null-space factorizations for sparse symmetric saddle point systems
  [Journal Article pdf]
  Tyrone Rees and Jennifer Scott
  Numer. Lin. Alg. Applics., 25:e2103, 2018. DOI: 10.1002/nla.2103.
• 2017
• Numerically aware orderings for sparse symmetric indefinite linear systems
  [Journal Article pdf]
  Jonathan Hogg, Jennifer Scott and Sue Thorne
  ACM Trans. Math. Softw., 44, Number 2, Article 13, 22 pages, 2017. DOI: 10.1145/3104991.
• Solving mixed sparse-dense linear least-squares problems by preconditioned iterative methods
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  SIAM J. Sci. Computing. 39, Number 6, pp A2422-A2437, 2017. DOI: 10.1137/16M1108339.
• On using Cholesky-based factorizations and regularization for solving rank-deficient sparse linear least-squares problems
  [Journal Article pdf]
  Jennifer Scott
  SIAM J. Sci. Computing, 39, Number 4, pp C319-C339, 2017. DOI: 10.1137/16M1065380.
• Improving the stability and robustness of incomplete symmetric indefinite factorization preconditioners
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  Numer. Lin. Alg. Applics., 24:e2099, 2017. DOI: 10.1002/nla.2099.
• The state-of-the-art of preconditioners for sparse linear least-squares problems
  [Journal Article pdf]
  Nick Gould and Jennifer Scott
  ACM Trans. Math. Softw., 43, Number 4, Article 36, 35 pages, 2017. DOI: 10.1145/3014057.
• 2016
• Preconditioning of linear least squares by robust incomplete factorization for implicitly held normal equations
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  SIAM J. Sci. Computing, 38, Number 6, pp C603--C623, 2016.
• A sparse symmetric indefinite direct solver for GPU architectures
  [Journal Article pdf]
  Jonathan Hogg, Evgueni Ovtchinnikov and Jennifer Scott
  ACM Trans. Math. Softw., 42, Number 1, Article 1, 25 pages, 2016. DOI: 10.1145/2756548.
• A note on performance profiles for benchmarking software
  [Journal Article pdf]
  Nick Gould and Jennifer Scott
  ACM Trans. Math. Softw., 43, Number 2, Article 15, 5 pages, 2016. DOI: 10.1145/2950048.
• Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver
  [Journal Article pdf]
  Peter Dunning, Evgueni Ovtchinnikov, Jennifer Scott and Alicia Kim
  Inter. J. Numer. Method. Engng, 2016. DOI: 10.1002/nme.5203.
• 2015
• On the use of suboptimal matchings for scaling and ordering sparse symmetric matrices
  [Journal Article pdf]
  Jonathan Hogg and Jennifer Scott
  Numer. Lin. Alg. Applics., 22, pp 648--663, 2015. DOI: 10.1002/nla.1978.
• 2014
• HSL_MI28: an efficient and robust limited-memory incomplete Cholesky factorization code
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  ACM Trans. Math. Softw., 40, Article 24, 19 pages, 2014.
• On signed incomplete Cholesky factorization preconditioners for saddle-point systems
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  SIAM J. Sci. Computing, 36, pp A2984-A3010, 2014.
• Level-based heuristics and hill climbing for the antibandwidth maximization problem
  [Journal Article pdf]
  Jennifer Scott and Yifan Hu
  Numer. Lin. Alg. Applics., 21, pp 51-67, 2014.
• On positive semidefinite modification schemes for incomplete Cholesky factorization
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  SIAM J. Sci. Computing, 36, pp A609-A633, 2014.
• Compressed threshold pivoting for sparse symmetric indefinite systems
  [Journal Article pdf]
  Jonathan Hogg and Jennifer Scott
  SIAM J. Matrix Anal. Appl., 35, pp 783-817, 2014.
• 2013
• Chebychev acceleration of iterative refinement
  [Journal Article pdf]
  Mario Arioli and Jennifer Scott
  Numer. Alg., 2013. DOI 10.1007/s11075-013-9750-7.
• Pivoting strategies for tough sparse indefinite systems
  [Journal Article pdf]
  Jonathan Hogg and Jennifer Scott
  ACM Trans. Math. Softw., 40, Article 4, 19 pages, 2013.
• Optimal weighted matchings for rank deficient sparse matrices
  [Journal Article pdf]
  Jonathan Hogg and Jennifer Scott
  SIAM J. Matrix Anal. Applic., 34, pp 1431-1447, 2013.
• New parallel sparse direct solvers for multicore archiectures
  [Journal Article pdf]
  Jonathan Hogg and Jennifer Scott
  Algorithms, 6, 702-725, 2013.
• An efficient analyse phase for element problems
  [Journal Article pdf]
  Jonathan Hogg and Jennifer Scott
  Numer. Lin. Alg. Applics., 20, pp 397-412, 2013.
• 2012
• A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints
  [Journal Article pdf]
  P. A. Browne, C. Budd, N. I. M. Gould, H. A. Kim and J. A. Scott
  Inter. J. Numer. Meth. Engng, 92, pp 1026-1043, 2013.
• 2011
• The importance of structure in incomplete factorization preconditioners
  [Journal Article pdf]
  Jennifer Scott and Miroslav Tuma
  BIT 51, pp 385–404, 2011.
• Partial factorization of a dense symmetric indefinite matrix
  [Journal Article pdf]
  John Reid and Jennifer Scott
  ACM Trans. Math. Softw., 38, Article 10, 19 pages, 2011.
• 2010
• Scaling and pivoting in an out-of-core sparse direct solver
  [Journal Article pdf]
  Jennifer Scott
  ACM Trans. Math. Softw., 37, Article 19, 23 pages, 2010.
• A note on fast approximate minimum degree orderings for matrices with some dense rows
  [Journal Article pdf]
  H. Sue Dollar and Jennifer Scott
  Numer. Lin. Alg. Applics., 17, pp 43-55, 2010.
• A fast and robust mixed precision solver for the solution of sparse symmetric linear systems
  [Journal Article pdf]
  Jonathan Hogg and Jennifer Scott
  ACM Trans. Math. Softw., 37, Article 17, 24 pages, 2010.
• Design of a multicore Cholesky factorization using DAGs
  [Journal Article pdf]
  Jonathan Hogg, John Reid and Jennifer Scott
  SIAM J. Sci. Comput., 32, pp 3627-3649, 2010.
• HSL_MI20: an efficient AMG preconditioner for finite element problems in 3D
  [Journal Article pdf]
  Jonathan Boyle, Milan Mihajlovic and Jennifer Scott
  Inter. J. Numer. Meth. Engng, 82, pp 64-98, 2010.
• 2009
• An efficient out-of-core multifrontal solver for large-scale unsymmetric element problems
  [Journal Article pdf]
  John Reid and Jennifer Scott
  Inter. J. Numer. Meth. Engng, 77, pp 901-921, 2009.
• HSL_OF01, a virtual memory system in Fortran
  [Journal Article pdf]
  John Reid and Jennifer Scott
  ACM Trans. Math. Softw., 36, Article 5, 12 pages, 2009.
• An out-of-core sparse Cholesky solver
  [Journal Article pdf]
  John Reid and Jennifer Scott
  ACM Trans. Math. Softw., 36, Article 9, 36 pages, 2009.
• 2007
• A numerical evaluation of sparse direct symmetric solvers for the solution of large sparse, symmetric linear systems of equations
  [Journal Article pdf]
  Nicholas Gould, Yifan Hu and Jennifer Scott
  ACM Trans. Math. Softw., 33, Article 10, 32 pages, 2007.
• Experiences of sparse direct symmetric solvers
  [Journal Article pdf]
  Yifan Hu and Jennifer Scott
  ACM Trans. Math. Softw., 33, Article 18, 28 pages, 2007.
• 2006
• A frontal solver for the 21st century
  [Journal Article pdf]
  Jennifer Scott
  Commun. Numer. Meth. Engng, 22, pp 1015–1029, 2006.
• Reducing the total bandwidth of a sparse unsymmetric matrix
  [Journal Article pdf]
  John Reid and Jennifer Scott
  SIAM J. Matrix Anal. Appl. 28, pp 805-821, 2006.
• 2005
• Ordering techniques for singly bordered block diagonal forms for unsymmetric parallel sparse direct solvers
  [Journal Article pdf]
  Yifan Hu and Jennifer Scott
  Numer. Lin. Alg. Applics., 12, pp 877-894, 2005.
• Stabilized bordered block diagonal forms for parallel sparse solvers
  [Journal Article pdf]
  Iain Duff and Jennifer Scott
  Parallel Comput., 31, pp 275-289, 2005.
• Multilevel hybrid spectral element ordering algorithms
  [Journal Article pdf]
  Jennifer Scott
  Commun. Numer. Meth. Engng, 21, pp 233-245, 2005.
• 2004
• A parallel direct solver for large sparse highly unsymmetric linear systems
  [Journal Article pdf]
  Iain Duff and Jennifer Scott
  ACM Trans. Math. Softw., 30, pp 95-117, 2004.
• A numerical evaluation of HSL packages for the direct solution of large sparse, symmetric linear systems of equations
  [Journal Article pdf]
  Nicholas Gould and Jennifer Scott
  ACM Trans. Math. Softw., 30, pp 300-325, 2004.
• 2003
• Parallel frontal solvers for large sparse linear systems
  [Journal Article pdf]
  Jennifer Scott
  ACM Trans. Math. Softw., 29, pp 395-417, 2003.
• 2002
• Implementing Hager's exchange methods for matrix profile reduction
  [Journal Article pdf]
  John Reid and Jennifer Scott
  ACM Trans. Math. Softw., 28, pp 1-15, 2002.
• 2001
• A parallel frontal solver for finite element applications
  [Journal Article pdf]
  Jennifer Scott
  Inter. J. Numer. Meth. Engng., 50, pp 1131-1144, 2001.
• Reversing the row order for the row-by-row frontal solver
  [Journal Article pdf]
  John Reid and Jennifer Scott
  Numer. Lin. Alg. Applics, 8, pp 1-6, 2001.
• Two-stage ordering for unsymmetric parallel row-by-row frontal solvers
  [Journal Article pdf]
  Jennifer Scott
  Computers in Chemical Engineering, 25, pp 323-332, 2001.
• The design of a portable parallel frontal solver for chemical process engineering problems
  [Journal Article pdf]
  Jennifer Scott
  Computers in Chemical Engineering, 25, pp 1699-1709, 2001.
• A multilevel algorithm for wavefront reduction
  [Journal Article pdf]
  Yifan Hu and Jennifer Scott
  SIAM J. Sci. Comput., 23, pp 1352-1375, 2001.
• 2000
• Row ordering for frontal solvers in chemical process engineering
  [Journal Article pdf]
  Jennifer Scott
  Computers in Chemical Engineering, 24, pp 1865-1880, 2000.
• 1999
• On ordering elements for a frontal solver
  [Journal Article pdf]
  Jennifer Scott
  Commun. Numer. Meth. Engng, 15, pp 309-323, 1999.
• Ordering symmetric sparse matrices for small wavefront and profile
  [Journal Article pdf]
  John Reid and Jennifer Scott
  Inter. J. Numer. Meth. Engng., 45, pp 1737-1755, 1999.
• A new row ordering strategy for frontal solvers
  [Journal Article pdf]
  Jennifer Scott
  Numer. Lin. Alg. Applics, 6, pp 1-23, 1999.
• A frontal code for the solution of sparse positive-definite symmetric systems arising from finite-element applications
  [Journal Article pdf]
  Iain Duff and Jennifer Scott
  ACM Trans. Math. Softw., 25, pp 404-424, 1999.
• 1998
• On approximate inverse preconditioners
  [Journal Article pdf]
  Nicholas Gould and Jennifer Scott
  SIAM J. Sci. Comput. 19, pp 605-625, 1998.
• Performance issues for frontal schemes on a cache-based high performance computer
  [Journal Article pdf]
  K. Andrew Cliffe, Iain Duff and Jennifer Scott
  Inter. J. Numer. Meth. Engng., 40, pp 127-143, 1998.
• 1996
• The design of a new frontal code for solving sparse unsymmetric systems
  [Journal Article pdf]
  Iain Duff and Jennifer Scott
  ACM Trans. Math. Softw., 22, pp 30-45, 1996.
• Element resequencing for use with a multiple front solver
  [Journal Article pdf]
  Jennifer Scott
  Inter. J. Numer. Meth. Engng., 39, pp 3999-4020, 1996.
• A mathematical model of a biosensor
  [Journal Article pdf]
  S. Jones, B. Jumarhon, S. McKee and J. A. Scott
  J. Engng. Math., 30, pp 321-337, 1996.
• 1995
• An Arnoldi code for computing selected eigenvalues of sparse real unsymmetric matrices
  [Journal Article pdf]
  Jennifer Scott
  ACM Trans. Math. Softw., 21, pp 423-475, 1995.
• 1993
• Computing selected eigenvalues of sparse unsymmetric matrices using subspace iteration
  [Journal Article pdf]
  [Corrigendum pdf]
  Iain Duff and Jennifer Scott
  ACM Trans. Math. Softw., 19, pp 137-159, 1993.
• 1991
• The factorization of sparse symmetric indefinite equations
  [Journal Article pdf]
  Nicholas Gould, Iain Duff, John Reid, Jennifer Scott and Katherine Turner
  IMA J. Numer. Anal. 11, pp 181-204, 1991.
• 1989
• The use of profile algorithms with a frontal code
  [Journal Article pdf]
  Iain Duff, John Reid and Jennifer Scott
  Inter. J. Numer. Meth. Engng., 28, pp 2555-2568, 1989.
• 1988
• A finite element model of heat transport in the human eye
  [Journal Article pdf]
  Jennifer Scott
  Physics in Medicine and Biology 33, pp 227-241, 1988.
• The computation of temperature rises in the human eye induced by infra-red radiation
  [Journal Article pdf]
  Jennifer Scott
  Physics in Medicine and Biology 33, pp 243-257, 1988.
• On the exact order of convergence of discrete methods for Volterra-type equations
  [Journal Article pdf]
  Jennifer Dixon (Scott) and Sean McKee
  IMA J. Numer. Anal. 8, pp 511-515, 1988.
• 1987
• A nonlinear weakly singular Volterra integral equation arising from a reaction-diffusion study in a small cell
  [Journal Article pdf]
  Jennifer Dixon (Scott)
  J. Comput. Appl. Math. 18, pp 289-305, 1987.
• 1986
• Weakly singular discrete Gronwall inequalities
  [Journal Article pdf]
  Jennifer Dixon (Scott) and Sean McKee
  ZAMM 66, pp 535-544, 1986.
• Generalized reducible quadrature methods for Volterra integral and integro-differential equations
  [Journal Article pdf]
  Jennifer Dixon (Scott)
  J. Comput. Appl. Math. 16, pp 27-42, 1986.
• Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations
  [Journal Article pdf]
  Jennifer Dixon (Scott), Sean McKee and Rolf Jetsch
  Numer. Math. 49, pp 67-80, 1986.
• 1985
• A unified approach to convergence analysis for discretization methods for Volterra equations
  [Journal Article pdf]
  Jennifer Dixon (Scott) and Sean McKee
  IMA J. Numer. Anal. 5, pp 41-57, 1985.
• On the order of the error in discretization methods for weakly singular second kind Volterra equations with non-smooth solutions
  [Journal Article pdf]
  Jennifer Dixon (Scott)
  BIT 25, pp 624-634, 1985.
• 1984
• Repeated integral inequalities
  [Journal Article pdf]
  Jennifer Dixon (Scott) and Sean McKee
  IMA J. Numer. Anal. 4, pp 99-107, 1984.
• 1983
• A numerical solution of Lighthill's equation for the surface temperature distribution of a projectile
  [Journal Article pdf]
  N. B. Franco, S. McKee, and J. A. Dixon (Scott)
  Mat. Aplic. Comp. 2, pp 257-271, 1983.



• Articles in edited proceedings
  
• The design of a new out-of-core multifrontal solver
  John Reid and Jennifer Scott
  PARA 2006 Conference Proceedings, Springer Lecture Notes in Computer Science, 2007.
• An evaluation of sparse direct symmetric solvers: an introduction and preliminary findings
  [Article pdf]
  Jennifer Scott, Yifan Hu and Nicholas Gould
  PARA 2004 Conference Proceedings, Springer Lecture Notes in Computer Science, 2005.
• Sparse direct methods: an introduction
  Jennifer Scott
  Electronic Structure and Physical Properties of Solids editor H. Dreysee. Springer Verlag Lecture Notes in Physics, 2000.
• MA62 - A frontal code for sparse positive-definite symmetric systems from finite-element applications
  Iain Duff and Jennifer Scott
  Innovative Computational Methods for Structural Mechanics, editors M. Papadrakakis and B.H.V. Topping, 1999.
• A comparison of frontal software with other Harwell Subroutine Library sparse direct solvers
  Iain Duff and Jennifer Scott
  High Performance Solution to Structured Matrix Problems, editors Arbenz, Paprzycki, Sameh, and Sarin, 1998.
• The use of multiple fronts in Gaussian elimination
  Iain Duff and Jennifer Scott
  Proceedings of the Fifth SIAM Conference on Applied Linear Algebra, editor J. Lewis, SIAM Press, pp 567-571, 1994.
• Computing selected eigenvalues of sparse unsymmetric matrices
  Iain Duff and Jennifer Scott
  ERCIM Workshop Report ERCIM-92-W002, pp 53-59, 1992.
• A unified analysis of discretization methods for Volterra-type equations
  Jennifer Dixon (Scott)
  Constructive Methods for the Practical Treatment of Integral Equations, editors G. Hammerlin and K. H. Hoffman, Birkhauser Verlag, pp 244-255, 1985.

• Technical Reports/Preprints (not published elsewhere)
• 2023
• HSL@60: a brief history of the HSL mathematical software library
  [RAL Technical Report pdf]
  J. A. Scott
  Technical Report RAL-TR-2023-002
• 2019
• Convergence and evaluation-complexity analysis of a regularized tensor-Newton method for solving nonlinear least-squares problems subject to convex constraints
  [RAL Technical Report pdf]
  N.I.M. Gould, T. Rees and J.A. Scott
  Technical Report RAL-TR-2019-001
• 2018
• 2017
• A higher order method for solving nonlinear least-squares problems
  [RAL Technical Report pdf]
  N.I.M. Gould, T. Rees and J.A. Scott
  Technical Report RAL-P-2017-010
• Convergence and evaluation-complexity analysis of a regularized tensor-Newton method for solving nonlinear least-squares problems
  [RAL Technical Report pdf]
  N.I.M. Gould, T. Rees and J.A. Scott
  Technical Report RAL-P-2017-009
• 2016
• Nested dissection revisited
  [RAL Technical Report pdf]
  Cleve Ashcraft, Iain Duff, Jonathan Hogg, Jennifer Scott and Sue Thorne
  Technical Report RAL-TR-2016-004
• 2015
• The state-of-the-art of preconditioners for sparse linear least-squares problems: the complete results
  [RAL Technical Report pdf]
  Nicholas Gould and Jennifer Scott
  Technical Report RAL-TR-2015-009 (corrected)
• 2014
• On the efficient scaling of sparse symmetric matrices using an auction algorithm
  [RAL Technical Report pdf]
  Jonathan Hogg and Jennifer Scott
  Technical Report RAL-P-2014-002
• Experiments using incomplete Cholesky factorization preconditioners for saddle-point systems arising in interior-point methods
  [RAL Technical Report pdf]
  Jennifer Scott
  Technical Report RAL-TR-2014-011
• 2013
• 2012
• On the effects of scaling on the performance of Ipopt
  [RAL Technical Report pdf]
  Jonathan Hogg and Jennifer Scott
  Technical Report RAL-P-2012-009
• Achieving bit compatibility in sparse direct solvers
  [RAL Technical Report pdf]
  Jonathan Hogg and Jennifer Scott
  Technical Report RAL-P-2012-005
• Numerical Analysis Group Progress Report January 2010 - December 2011
  [RAL Technical Report pdf]
  Jennifer Scott (editor)
  Technical Report RAL-TR-2012-001
• 2011
• HSL_MA97 : a bit-compatible multifrontal code for sparse symmetric systems
  [RAL Technical Report pdf]
  Jonathan Hogg and Jennifer Scott
  Technical Report RAL-TR-2011-024
• Guidelines for the development of HSL software, 2011 version
  [RAL Technical Report pdf]
  Jonathan Hogg, John Reid and Jennifer Scott
  Technical Report RAL-TR-2011-015
• 2010
• A modern analyse phase for sparse tree-based direct methods
  [RAL Technical Report pdf]
  Jonathan Hogg and Jennifer Scott
  Technical Report RAL-TR-2010-031
• An indefinite sparse direct solver for large problems on multicore machines
  [RAL Technical Report pdf]
  Jonathan Hogg and Jennifer Scott
  Technical Report RAL-TR-2010-011
• A note on the solve phase of a multicore solver
  [RAL Technical Report pdf]
  Jonathan Hogg and Jennifer Scott
  Technical Report RAL-TR-2010-004
• Numerical Analysis Group Progress Report: January 2008 - December 2009
  [RAL Technical Report pdf]
  Jennifer Scott (editor)
  Technical Report RAL-TR-2010-001
• 2009
• A note on a simple constrained ordering for saddle-point systems
  [RAL Technical Report pdf]
  Jennifer Scott
  Technical Report RAL-TR-2009-007
• 2008
• An efficient out-of-core sparse symmetric indefinite direct solver
  [RAL Technical Report pdf]
  John Reid and Jennifer Scott
  Technical Report RAL-TR-2008-024
• The effects of scalings on the performance of a sparse symmetric indefinite solver
  [RAL Technical Report pdf]
  Jonathan Hogg and Jennifer Scott
  Technical Report RAL-TR-2008-007
• Numerical Analysis Group Progress Report: January 2006 - December 2007
  [RAL Technical Report pdf]
  Jennifer Scott
  Technical Report RAL-TR-2008-001
• 2007
• An approximate minimum degree algorithm for matrices with dense rows
  [RAL Technical Report pdf]
  Patrick Amestoy, Sue Dollar, John Reid and Jennifer Scott
  Technical Report RAL-TR-2007-020
• 2006
• Towards an automatic ordering for a symmetric sparse direct solver
  [RAL Technical Report pdf]
  Iain Duff and and Jennifer Scott
  Technical Report RAL-TR-2006-001
• 2004
• MA42_ELEMENT - a state-of-the-art frontal solver for finite-element applications
  [RAL Technical Report pdf]
  Jennifer Scott
  Technical Report RAL-TR-2004-026
• 2000
• The design of a block rational Lanczos code with partial reorthogonalization and implicit restarting
  [RAL Technical Report pdf]
  Karl Meerbergen and Jennifer Scott
  Technical Report RAL-TR-2000-011
• 1997
• Implicitly restarted Arnoldi methods and eigenvalues of the discretized Navier-Stokes equations
  [RAL Technical Report pdf]
  RB Lehoucq and JA Scott
  Technical Report RAL-TR-1997-058
• Exploiting zeros in frontal solvers
  [RAL Technical Report pdf]
  Jennifer Scott
  Technical Report RAL-TR-1997-031
• MA62: A frontal code for sparse positive definite symmetric systems from finite element applications
  [RAL Technical Report pdf]
  Iain Duff and Jennifer Scott
  Technical Report RAL-TR-1997-012
• 1996
• An evaluation of subspace iteration software for sparse nonsymmetric egenproblems
  [RAL Technical Report pdf]
  RB Lehoucq and JA Scott
  Technical Report RAL-TR-1996-022
• An evaluation of Arnoldi based software for sparse nonsymmetric eigenproblems
  [RAL Technical Report pdf]
  RB Lehoucq and JA Scott
  Technical Report RAL-TR-1996-023
• 1993
• MA42 - A new frontal code for solving sparse unsymmetric systems
  [RAL Technical Report pdf]
  Iain Duff and Jennifer Scott
  Technical Report RAL-TR-1993-064

Author or co-author of the following packages that are part of the HSL mathematical software library.

EA: Eigenvalues and eigenvectors of real symmetric matrices

EA16 - Compute selected eigenpairs using rational Lanczos method

EB: Eigenvalues and eigenvectors of general matrices

EB13 - Sparse unsymmetric: Arnoldi’s method

EB22 - Sparse unsymmetric: subspace iteration

MA: Linear systems

MA42 - Sparse unsymmetric system: out-of-core frontal method

HSL_MA42_ELEMENT - Unsymmetric finite-element system: out-of-core frontal method

HSL_MA42 - Sparse unsymmetric system: out-of-core frontal method

MA43 - Sparse unsymmetric system: row-by-row frontal method

MA52 - Sparse unsymmetric finite-element system: out-of-core multiple front method

MA62 - Sparse symmetric finite-element system: out-of-core frontal method

HSL_MA64 - Indefinite symmetric full matrix: partial or complete factorization and solution

MA72 - Sparse symmetric finite-element system: out-of-core multiple front method

HSL_MA74 - Unsymmetric full matrix: partial or complete factorization and solution

HSL_MA77 - Sparse symmetric system: multifrontal out of core

HSL_MA78 - Sparse unsymmetric finite-element system: multifrontal out of core

HSL_MA79 - Sparse symmetric system: mixed precision

HSL_MA85 - Sparse diagonally-weighted linear least squares solver

HSL_MA86 - Sparse solver for real and complex indefinite matrices using OpenMP

HSL_MA87 - Sparse Cholesky solver for real/complex matrices using OpenMP

HSL_MA97 - Bit-compatible sparse symmetric indefinite linear solver

MC: Computations with real matrices and vectors

HSL_MC34 - Sparse symmetric structure: expand from lower triangle

MC44 - Unassembled finite-element matrix: generate the element or supervariable connectivity graph

MC53 - Generate an ordering for finite-element matrices within a subdomain

MC57 - Assemble a set of finite-element matrices

MC59 - Sort a sparse matrix to an ordering by columns

MC60 - Sparse symmetric pattern: reduce the profile and wavefront

MC61 - Straightforward interface to MC60

MC62 - Generate a row ordering for a row-by-row frontal solver

MC63 - Generate an element assembly ordering for a frontal solver

MC67 - Refine a profile-reducing permutation of a symmetric matrix

HSL_MC68 - Symmetric sparse matrix: compute elimination orderings

HSL_MC73 - Sparse symmetric matrix: compute Fiedler vector and permute to reduce the profile and wavefront

HSL_MC80 - Sparse symmetric matrix: matching-based ordering and scaling

HSL_MC81 - Randomized methods for low-rank matrix approximation

ME: Solution of complex linear systems and other calculations for complex matrices

ME42 - Sparse unsymmetric system: out-of-core frontal method

ME43 - Sparse unsymmetric system: row-by-row frontal method

ME62 - Sparse Hermitian or complex symmetric finite-element system: out-of-core frontal method

See also

HSL_MA42_ELEMENT - (Unsymmetric finite-element system)

HSL_MA86 - (Parallel sparse symmetric indefinite/Hermitian)

HSL_MA87 - (Parallel sparse Cholesky)

HSL_MA97 - (Bit-compatible parallel sparse symmetric/Hermitian)

MI: Iterative methods for sparse matrices

MI11 - Unsymmetric system: incomplete LU factorization

MI12 - Unsymmetric system: approximate-inverse preconditioner

HSL_MI20 - Unsymmetric system: algebraic multigrid preconditioner

MI21 - Symmetric positive-definite system: conjugate gradient method

MI23 - Unsymmetric system: CGS (conjugate gradient squared) method

MI24 - Unsymmetric system: GMRES (generalized minimal residual) method

MI25 - Unsymmetric system: BiCG (BiConjugate Gradient) method

MI26 - Unsymmetric system: BiCGStab (BiConjugate Gradient Stabilized) method

HSL_MI28 - Symmetric system: incomplete Cholesky factorization

HSL_MI30 - Symmetric indefinite saddle-point system: signed incomplete Cholesky factorization

HSL_MI35 - Sparse least squares: incomplete factorization preconditioner

MP: MPI dependant packages

HSL_MP42 - Unsymmetric finite-element system: multiple-front method, element entry

HSL_MP43 - Sparse unsymmetric system: multiple-front method, equation entry

HSL_MP48 - Sparse unsymmetric system: parallel direct method

HSL_MP62 - Symmetric finite-element system: multiple-front method

OF: File management

HSL_OF01 - Fortran virtual memory