I. S. Duff

2.1k citations

27 papers · 1.4k indexed · 1 hit paper · h-index 15

Impact in

Computational Mathematics top 5%
Numerical Analysis top 2%
- Advanced Optimization Algorithms Research
- Numerical methods for differential equations

Papers in

Computational Mathematics 2
Computational Theory and Mathematics 25
- Matrix Theory and Algorithms 23

Co-authors: Patrick AmestoyJ.-Y. L'ExcellentJohn Reid Luc Giraud Bruno Carpentieri C. W. Gear Kathryn L. Turner Nicholas I. M. Gould
Journals: ACM Transactions on Mathematical Software (3 papers)Numerical Linear Algebra with Applications (2 papers)SIAM Journal on Scientific Computing (2 papers)Parallel Computing (2 papers)Computer Methods in Applied Mechanics and Engineering (1 paper)
Partner nations: France United Kingdom United States

In The Last Decade

I. S. Duff

25 papers receiving 1.2k citations

Hit Papers

align trajectories log scale

Multifrontal parallel distributed symmetric and unsymmetric solvers 2000 · 693 citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

2000 Computer Methods in Applied Mechanics and Engineering

Peers

Countries citing papers authored by I. S. Duff

Since Specialization

Citations

This map shows the geographic impact of I. S. Duff's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by I. S. Duff with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites I. S. Duff more than expected).

Fields of papers citing papers by I. S. Duff

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by I. S. Duff. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by I. S. Duff. The network helps show where I. S. Duff may publish in the future.

Co-authorship network

The 18 scholars most cited alongside I. S. Duff, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with I. S. Duff Line = papers co-authored together I. S. Duff links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	A new sparse symmetric indefinite solver using a posteriori threshold pivoting Science and Technology Facilities Council ·I. S. Duff, Jonathan Hogg, Bond Emma	2018	3
2	Analysis of the solution phase of a parallel multifrontal approach Parallel Computing ·Patrick Amestoy, I. S. Duff, Nikolas Wirtz, Agnes Aligh	2009	6
3	A Note on GMRES Preconditioned by a Perturbed $L D L^T$ Decomposition with Static Pivoting SIAM Journal on Scientific Computing ·M. Arioli, I. S. Duff, Serge Gratton, Stéphane Pralet	2007	21
4	Sparse symmetric preconditioners for dense linear systems in electromagnetism Numerical Linear Algebra with Applications ·Bruno Carpentieri, I. S. Duff, Luc Giraud, 笠田竜太	2004	29
5	Sparse symmetric preconditioners for dense linear systems in electromagnetism I. S. Duff, Bruno Carpentieri, Luc Giraud, 笠田竜太	2002	2
6	Incremental norm estimation for dense and sparse matrices I. S. Duff, Christof Vömel	2001	0
7	Some Sparse Pattern Selection Strategies for Robust Frobenius Norm Minimization Preconditioners in Electromagnetism CERN Document Server (European Organization for Nuclear Research) ·Bruno Carpentieri, I. S. Duff, Luc Giraud	2000	6
8	Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism Numerical Linear Algebra with Applications ·Bruno Carpentieri, I. S. Duff, Luc Giraud	2000	82
9	The Design of MA48, a code for the direct solution of sparse unsymmetric linear systems of equations OpenGrey (Institut de l'Information Scientifique et Technique) ·I. S. Duff, John Reid	1995	2
10	Exploitation of parallelism in direct and semi-direct solution of large sparse systems Oxford University Press eBooks ·I. S. Duff	1994	0
11	MA48: A FORTRAN code for direct solution of sparse unsymmetric linear systems of equations OpenGrey (Institut de l'Information Scientifique et Technique) ·I. S. Duff, John Reid	1993	34
12	The Factorization of Sparse Symmetric Indefinite Matrices IMA Journal of Numerical Analysis ·I. S. Duff, Nicholas I. M. Gould, John Reid, Moh. Jujun Sirojudin, Kathryn L. Turner	1991	75
13	Node orderings and concurrency in structurally-symmetric sparse problems John Wiley & Sons, Inc. eBooks ·I. S. Duff, JM Rodriguez-Llanes	1989	4
14	Computing the Structural Index SIAM Journal on Algebraic and Discrete Methods ·I. S. Duff, C. W. Gear	1986	34
15	Parallel implementation of multifrontal schemes Parallel Computing ·I. S. Duff	1986	102
16	ME28: A Sparse Unsymmetric Linear Equation Solver for Complex Equations ACM Transactions on Mathematical Software ·I. S. Duff	1981	9
17	Algorithm 529: Permutations To Block Triangular Form [F1] ACM Transactions on Mathematical Software ·I. S. Duff, John Reid	1978	37
18	On Permutations to Block Triangular Form IMA Journal of Applied Mathematics ·I. S. Duff	1977	23
19	A Comparison of Some Methods for the Solution of Sparse Overdetermined Systems of Linear Equations IMA Journal of Applied Mathematics ·I. S. Duff, John Reid	1976	43
20	On the number of nonzeros added when Gaussian elimination is performed on sparse random matrices Mathematics of Computation ·I. S. Duff	1974	9

About I. S. Duff

I. S. Duff is a scholar working on Computational Mathematics, Computational Theory and Mathematics, Numerical Analysis, Computational Mechanics and Discrete Mathematics and Combinatorics, having authored 27 papers that have together received 1.4k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (23 papers), Electromagnetic Scattering and Analysis (7 papers), Advanced Numerical Methods in Computational Mathematics (6 papers), Advanced Optimization Algorithms Research (5 papers), graph theory and CDMA systems (3 papers), Numerical methods for differential equations (3 papers), Sparse and Compressive Sensing Techniques (2 papers) and Error Correcting Code Techniques (2 papers). The work is most often cited by research in Computational Mathematics (33 citations), Numerical Analysis (247 citations), Computational Theory and Mathematics (652 citations), Hardware and Architecture (177 citations) and Computational Mechanics (439 citations). I. S. Duff has collaborated with scholars based in France, United Kingdom and United States. Frequent co-authors include Patrick Amestoy, J.-Y. L'Excellent, John Reid, Luc Giraud, Bruno Carpentieri, C. W. Gear, Kathryn L. Turner, Nicholas I. M. Gould, M. Arioli and Stéphane Pralet. Their work appears in journals such as ACM Transactions on Mathematical Software, Numerical Linear Algebra with Applications, SIAM Journal on Scientific Computing, Parallel Computing and Computer Methods in Applied Mechanics and Engineering.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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