2026 Ilse C. F. Ipsen: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2549	2270	1055	884	154	4438

Research.com Recognitions

2018 - Fellow of the American Association for the Advancement of Science (AAAS)
2011 - SIAM Fellow For contributions to numerical linear algebra, perturbation theory, and applications.

Overview

Ilse C. F. Ipsen is affiliated with North Carolina State University in the United States. Their research spans a range of topics within computer science and mathematics, with a particular focus on matrix theory and algorithms, numerical methods, and statistical and numerical algorithms.

The main fields of study for Ipsen include:

Computer Science
Mathematics

Within these fields, Ipsen's work extends to several subfields, including:

Computational Theory and Mathematics
Statistics and Probability
Statistical and Nonlinear Physics
Molecular Biology
Applied Mathematics

The main research topics addressed in Ipsen's publications are:

Matrix Theory and Algorithms
Numerical Methods and Algorithms
Statistical and numerical algorithms
Sparse and Compressive Sensing Techniques
Probabilistic and Robust Engineering Design
Markov Chains and Monte Carlo Methods
Advanced Optimization Algorithms Research

Ipsen has published extensively, with frequent venues including:

arXiv (Cornell University)
SIAM Journal on Matrix Analysis and Applications
Numerische Mathematik
ePrints Soton (University of Southampton)
Frontiers in Genetics

Notable recent papers feature titles such as:

"Probabilistic Error Analysis for Inner Products" (2020), published in SIAM Journal on Matrix Analysis and Applications
"Precision-aware deterministic and probabilistic error bounds for floating point summation" (2023), published in Numerische Mathematik
"SEAGLE: A Scalable Exact Algorithm for Large-Scale Set-Based Gene-Environment Interaction Tests in Biobank Data" (2021), published in Frontiers in Genetics
"Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix" (2023), published in SIAM Journal on Matrix Analysis and Applications
"Small Singular Values Can Increase in Lower Precision" (2024), published in SIAM Journal on Matrix Analysis and Applications

Frequent collaborators with Ipsen include:

Arvind K. Saibaba
Eric J. Hallman
Petros Drineas
T. Jocelyn
Christos Boutsikas

Over the course of their career, Ipsen has been recognized with awards such as:

Fellow of the American Association for the Advancement of Science (AAAS), awarded in 2018
SIAM Fellow, awarded in 2011 for contributions to numerical linear algebra, perturbation theory, and applications

Best Publications

THE IDEA BEHIND KRYLOV METHODS

Ilse C. F. Ipsen;Carl D. Meyer

247
Citations
On Rank-Revealing Factorisations

Shivkumar Chandrasekaran;Ilse C. F. Ipsen

231
Citations
Computing an Eigenvector with Inverse Iteration

Ilse C. F. Ipsen

227
Citations
A Note on Preconditioning Nonsymmetric Matrices

Ilse C. F. Ipsen

212
Citations
GMREs and the minimal polynomial

Stephen L. Campbell;Ilse C. F. Ipsen;Carl Tim Kelley;Carl D. Meyer

175
Citations
How to Embed Trees in Hypercubes.

Sandeep N. Bhatt;Ilse C. F. Ipsen

157
Citations
Relative perturbation techniques for singular value problems

Stanley C. Eisenstat;Ilse C. F. Ipsen

144
Citations
PageRank Computation, with Special Attention to Dangling Nodes

Ilse C. F. Ipsen;Teresa M. Selee

132
Citations
Ergodicity Coefficients Defined by Vector Norms

Ilse C. F. Ipsen;Teresa M. Selee

130
Citations
Eigenvector Continuation with Subspace Learning.

Dillon Frame;Dillon Frame;Rongzheng He;Rongzheng He;Ilse Ipsen;Daniel Lee

124
Citations
Relative perturbation results for matrix eigenvalues and singular values

Ilse C. F. Ipsen

123
Citations
Systolic Networks for Orthogonal Decompositions

Don E. Heller;Ilse C. F. Ipsen

118
Citations
The Angle Between Complementary Subspaces

Ilse C. F. Ipsen;Carl D. Meyer

115
Citations
Numerical Matrix Analysis: Linear Systems and Least Squares

Ilse C. F. Ipsen

113
Citations
Uniform Stability of Markov Chains

Ilse C. F. Ipsen;Carl D. Meyer

96
Citations
Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds

Stanley C. Eisenstat;Ilse C. F. Ipsen

94
Citations
Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices

I. C. F. Ipsen;B. Nadler

92
Citations
Perturbation Bounds for Determinants and Characteristic Polynomials

Ilse C. F. Ipsen;Rizwana Rehman

90
Citations
Convergence Analysis of a PageRank Updating Algorithm by Langville and Meyer

Ilse C. F. Ipsen;Steve Kirkland

85
Citations
Complexity of dense-linear-system solution on a multiprocessor ring

Ilse C.F. Ipsen;Youcef Saad;Martin H. Schultz

82
Citations

Frequent Co-Authors

Ralph C. Smith North Carolina State University

Petros Drineas Purdue University West Lafayette

Carl D. Meyer North Carolina State University

Carl Tim Kelley North Carolina State University

Philipp Hennig University of Tübingen

Malik Magdon-Ismail Rensselaer Polytechnic Institute

Mark Girolami University of Cambridge

Timothy Sullivan University of Canterbury

Ioannis G. Kevrekidis Johns Hopkins University

William Gropp University of Illinois at Urbana-Champaign

External Links

Wikipedia of Ilse C. F. Ipsen Personal website of Ilse C. F. Ipsen Google Scholar page

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