Jennifer Scott

Group Leader, STFC Fellow

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. She took on the role of Group Leader in 2007. In 2011, Jennifer became an STFC Individual Merit Research Fellow. Much of her work at STFC and that of the Group is currently funded by EPSRC research grants.

In 2016, Jennifer was appointed Professor of Mathematics at the University of Reading and Director at Reading of the EPSRC Centre for Doctoral Training in the Mathematics of Planet Earth.

Jennifer is 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 was vice president of SIAM UKIE (2015--17). Jennifer is an Associate Editor of ACM Transactions on Mathematical Software and of SIAM Journal of Scientific Computing.

  • Sparse linear algebra (including direct and iterative methods)
  • Parallel computing
  • Large-scale scientific computation
  • Mathematical software
  • Refereed articles
  • 2017
  • 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.
  • 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., 2017. DOI: 10.1002/nla.2103.
  • Improving the stability and robustness of incomplete symmetric indefinite factorization preconditioners
    [Journal Article pdf]
    Jennifer Scott and Miroslav Tuma
    Numer. Lin. Alg. Applics., 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 Propoerties 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 (not published elsewhere)
  • 2017
  • Preordering saddle-point systems for sparse LDLT factorization without pivoting
    [RAL Technical Report pdf]
    S. Lungten, W.H.A. Schilders and J.A. Scott
    Technical Report RAL-P-2017-008
  • A Schur complement approach to preconditioning sparse linear least-squares problems with some dense rows
    [RAL Technical Report pdf]
    Jennifer Scott and Miroslav Tuma
    Technical Report RAL-P-2017-004
  • 2016
  • A max-plus approach to incomplete Cholesky factorization preconditioners
    [RAL Technical Report pdf]
    Jonathan Hogg, James Hook, Jennifer Scott, and Francoise Tisseur
    Technical Report RAL-P-2016-009
  • On the use of iterative methods and blocking for solving sparse triangular systems in incomplete factorization preconditioning
    [RAL Technical Report pdf]
    Edmond Chow and Jennifer Scott
    Technical Report RAL-P-2016-006
  • Nested dissection revisited
    [RAL Technical Report pdf]
    Cleve Ashcraft, Iain Duff, Jonathan Hogg, Jennifer Scott and Sue Thorne
    Technical Report RAL-TR-2016-004
  • Numerically-aware orderings for sparse symmetric linear systems
    [RAL Technical Report pdf]
    Jonathan Hogg, Jennifer Scott and Sue Thorne
    Technical Report RAL-P-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_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


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
RCUK