Ilse C. F. Ipsen

Publication Activity (10 Years)

Years Active: 1987-2024
Publications (10 Years): 26

Top Topics

Iterative Methods

Conjugate Gradient

Top Venues

SIAM J. Matrix Anal. Appl.

Numerische Mathematik

Publications

Ilse C. F. Ipsen, Arvind K. Saibaba
Stable Rank and Intrinsic Dimension of Real and Complex Matrices. CoRR (2024)
James E. Garrsion, Ilse C. F. Ipsen
A randomized preconditioned Cholesky-QR algorithm. CoRR (2024)
Gregory Dexter, Christos Boutsikas, Linkai Ma, Ilse C. F. Ipsen, Petros Drineas
Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices. CoRR (2024)
Eric Hallman, Ilse C. F. Ipsen, Arvind K. Saibaba
Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix. SIAM J. Matrix Anal. Appl. 44 (1) (2023)
Eric Hallman, Ilse C. F. Ipsen
Precision-aware deterministic and probabilistic error bounds for floating point summation. Numerische Mathematik 155 (1-2) (2023)
Christos Boutsikas, Petros Drineas, Ilse C. F. Ipsen
Small singular values can increase in lower precision. CoRR (2023)
Tim W. Reid, Ilse C. F. Ipsen, Jon Cockayne, Chris J. Oates
Statistical properties of BayesCG under the Krylov prior. Numerische Mathematik 155 (3-4) (2023)
Katherine J. Pearce, Ilse C. F. Ipsen, Mansoor A. Haider, Arvind K. Saibaba, Ralph C. Smith
Robust Parameter Identifiability Analysis via Column Subset Selection. CoRR (2022)
Eric Hallman, Ilse C. F. Ipsen, Arvind K. Saibaba
Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix. CoRR (2022)
Eric Hallman, Ilse C. F. Ipsen
Precision-aware Deterministic and Probabilistic Error Bounds for Floating Point Summation. CoRR (2022)
Tim W. Reid, Ilse C. F. Ipsen, Jon Cockayne, Chris J. Oates
Statistical Properties of the Probabilistic Numeric Linear Solver BayesCG. CoRR (2022)
Philipp Hennig, Ilse C. F. Ipsen, Maren Mahsereci, Tim Sullivan
Probabilistic Numerical Methods - From Theory to Implementation (Dagstuhl Seminar 21432). Dagstuhl Reports 11 (9) (2021)
Jon Cockayne, Ilse C. F. Ipsen, Chris J. Oates, Tim W. Reid
Probabilistic Iterative Methods for Linear Systems. J. Mach. Learn. Res. 22 (2021)
Eric Hallman, Ilse C. F. Ipsen
Deterministic and Probabilistic Error Bounds for Floating Point Summation Algorithms. CoRR (2021)
Tim W. Reid, Ilse C. F. Ipsen, Jon Cockayne, Chris J. Oates
A Probabilistic Numerical Extension of the Conjugate Gradient Method. CoRR (2020)
Jon Cockayne, Ilse C. F. Ipsen, Chris J. Oates, Tim W. Reid
Probabilistic Iterative Methods for Linear Systems. CoRR (2020)
Ilse C. F. Ipsen, Hua Zhou
Probabilistic Error Analysis for Inner Products. SIAM J. Matrix Anal. Appl. 41 (4) (2020)
Jocelyn T. Chi, Ilse C. F. Ipsen
Multiplicative Perturbation Bounds for Multivariate Multiple Linear Regression in Schatten p-Norms. CoRR (2020)
Petros Drineas, Ilse C. F. Ipsen
Low-Rank Matrix Approximations Do Not Need a Singular Value Gap. SIAM J. Matrix Anal. Appl. 40 (1) (2019)
Ilse C. F. Ipsen, Hua Zhou
Probabilistic Error Analysis for Inner Products. CoRR (2019)
Simon Bartels, Jon Cockayne, Ilse C. F. Ipsen, Philipp Hennig
Probabilistic linear solvers: a unifying view. Stat. Comput. 29 (6) (2019)
Mark A. Girolami, Ilse C. F. Ipsen, Chris J. Oates, Art B. Owen, Timothy John Sullivan
Editorial: special edition on probabilistic numerics. Stat. Comput. 29 (6) (2019)
John T. Holodnak, Ilse C. F. Ipsen, Ralph C. Smith
A Probabilistic Subspace Bound with Application to Active Subspaces. SIAM J. Matrix Anal. Appl. 39 (3) (2018)
Jocelyn T. Chi, Ilse C. F. Ipsen
Randomized Least Squares Regression: Combining Model- and Algorithm-Induced Uncertainties. CoRR (2018)
Petros Drineas, Ilse C. F. Ipsen, Eugenia-Maria Kontopoulou, Malik Magdon-Ismail
Structural Convergence Results for Approximation of Dominant Subspaces from Block Krylov Spaces. SIAM J. Matrix Anal. Appl. 39 (2) (2018)
Arvind K. Saibaba, Alen Alexanderian, Ilse C. F. Ipsen
Randomized matrix-free trace and log-determinant estimators. Numerische Mathematik 137 (2) (2017)
John T. Holodnak, Ilse C. F. Ipsen, Thomas Wentworth
Conditioning of Leverage Scores and Computation by QR Decomposition. SIAM J. Matrix Anal. Appl. 36 (3) (2015)
John T. Holodnak, Ilse C. F. Ipsen
Randomized Approximation of the Gram Matrix: Exact Computation and Probabilistic Bounds. SIAM J. Matrix Anal. Appl. 36 (1) (2015)
Ilse C. F. Ipsen, Thomas Wentworth
The Effect of Coherence on Sampling from Matrices with Orthonormal Columns, and Preconditioned Least Squares Problems. SIAM J. Matrix Anal. Appl. 35 (4) (2014)
John T. Holodnak, Ilse C. F. Ipsen
Randomized Matrix Multiplication: Exact Computation and Probabilistic Bounds. CoRR (2013)
Ilse C. F. Ipsen, C. T. Kelley, S. R. Pope
Rank-Deficient Nonlinear Least Squares Problems and Subset Selection. SIAM J. Numer. Anal. 49 (3) (2011)
Rizwana Rehman, Ilse C. F. Ipsen
Computing Characteristic Polynomials from Eigenvalues. SIAM J. Matrix Anal. Appl. 32 (1) (2011)
Ilse C. F. Ipsen, Teresa M. Selee
Ergodicity Coefficients Defined by Vector Norms. SIAM J. Matrix Anal. Appl. 32 (1) (2011)
Sylvester David Eriksson-Bique, Mary Solbrig, Michael Stefanelli, Sarah Warkentin, Ralph Abbey, Ilse C. F. Ipsen
Importance Sampling for a Monte Carlo Matrix Multiplication Algorithm, with Application to Information Retrieval. SIAM J. Sci. Comput. 33 (4) (2011)
Ilse C. F. Ipsen
Special Issue on Accurate Solution of Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 31 (1) (2009)
Ilse C. F. Ipsen, Boaz Nadler
Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices. SIAM J. Matrix Anal. Appl. 31 (1) (2009)
Ilse C. F. Ipsen
Problems and Techniques. SIAM Rev. 51 (1) (2009)
Ilse C. F. Ipsen
Problems and Techniques. SIAM Rev. 51 (4) (2009)
Ilse C. F. Ipsen
Problems and Techniques. SIAM Rev. 51 (2) (2009)
Ilse C. F. Ipsen
Problems and Techniques. SIAM Rev. 51 (3) (2009)
Ilse C. F. Ipsen, Rizwana Rehman
Perturbation Bounds for Determinants and Characteristic Polynomials. SIAM J. Matrix Anal. Appl. 30 (2) (2008)
Rebecca S. Wills, Ilse C. F. Ipsen
Ordinal Ranking for Google's PageRank. SIAM J. Matrix Anal. Appl. 30 (4) (2008)
Ilse C. F. Ipsen, Teresa M. Selee
PageRank Computation, with Special Attention to Dangling Nodes. SIAM J. Matrix Anal. Appl. 29 (4) (2007)
K. I. Dickson, C. T. Kelley, Ilse C. F. Ipsen, Ioannis G. Kevrekidis
Condition Estimates for Pseudo-Arclength Continuation. SIAM J. Numer. Anal. 45 (1) (2007)
Daniel E. Finkel, Christopher M. Kuster, Matthew S. Lasater, Rachel Levy, Jill P. Reese, Ilse C. F. Ipsen
Communicating Applied Mathematics: Four Examples. SIAM Rev. 48 (2) (2006)
Ilse C. F. Ipsen
Special Issue on Accurate Solution Of Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 28 (4) (2006)
Ilse C. F. Ipsen, Steve Kirkland
Convergence Analysis of a PageRank Updating Algorithm by Langville and Meyer. SIAM J. Matrix Anal. Appl. 27 (4) (2006)
Ilse C. F. Ipsen
A Note on Preconditioning Nonsymmetric Matrices. SIAM J. Sci. Comput. 23 (3) (2001)
Stanley C. Eisenstat, Ilse C. F. Ipsen
Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds. SIAM J. Matrix Anal. Appl. 20 (1) (1998)
James M. Banoczi, Nan-Chieh Chiu, Grace E. Cho, Ilse C. F. Ipsen
The Lack of Influence of the Right-Hand Side on the Accuracy of Linear System Solution. SIAM J. Sci. Comput. 20 (1) (1998)
Ilse C. F. Ipsen
Computing an Eigenvector with Inverse Iteration. SIAM Rev. 39 (2) (1997)
S. Chandrasekaran, Ilse C. F. Ipsen
Analysis of a QR Algorithm for Computing Singular Values. SIAM J. Matrix Anal. Appl. 16 (2) (1995)
S. Chandrasekaran, Ilse C. F. Ipsen
On the Sensitivity of Solution Components in Linear Systems of Equations. SIAM J. Matrix Anal. Appl. 16 (1) (1995)
Shivkumar Chandrasekaran, Ilse C. F. Ipsen
On Rank-Revealing Factorisations. SIAM J. Matrix Anal. Appl. 15 (2) (1994)
Ilse C. F. Ipsen, Carl Dean Meyer
Uniform Stability of Markov Chains. SIAM J. Matrix Anal. Appl. 15 (4) (1994)
Elizabeth R. Jessup, Ilse C. F. Ipsen
Improving the Accuracy of Inverse Iteration. SIAM J. Sci. Comput. 13 (2) (1992)
Ilse C. F. Ipsen, Elizabeth R. Jessup
Solving the Symmetric Tridiagonal Eigenvalue Problem on the Hypercube. SIAM J. Sci. Comput. 11 (2) (1990)
William Gropp, Ilse C. F. Ipsen
Recursive Mesh Refinement on Hypercubes. BIT 29 (2) (1989)
Jean-Marc Delosme, Ilse C. F. Ipsen
Parallel Computation of Algorithms with Uniform Dependences. PPSC (1989)
William Gropp, Ilse C. F. Ipsen
A Gray-Code Schmee for Mesh Refinement on Hypercubes. PPSC (1987)