Ilse C. F. Ipsen

SIAM J. Matrix Anal. Appl., 2024

Stochastic Rounding 2.0, with a View towards Complexity Analysis.

[BibT_eX]

[DOI]

CoRR, 2024

Stable Rank and Intrinsic Dimension of Real and Complex Matrices.

[BibT_eX]

[DOI]

Arvind K. Saibaba

CoRR, 2024

A randomized preconditioned Cholesky-QR algorithm.

[BibT_eX]

[DOI]

James E. Garrsion

CoRR, 2024

Stochastic Rounding Implicitly Regularizes Tall-and-Thin Matrices.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Statistical properties of BayesCG under the Krylov prior.

[BibT_eX]

[DOI]

Numerische Mathematik, December, 2023

Precision-aware deterministic and probabilistic error bounds for floating point summation.

[BibT_eX]

[DOI]

Eric Hallman

Numerische Mathematik, October, 2023

Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix.

[BibT_eX]

[DOI]

Eric Hallman

Arvind K. Saibaba

SIAM J. Matrix Anal. Appl., March, 2023

2022

Statistical Properties of the Probabilistic Numeric Linear Solver BayesCG.

[BibT_eX]

[DOI]

CoRR, 2022

Robust Parameter Identifiability Analysis via Column Subset Selection.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Probabilistic Iterative Methods for Linear Systems.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2021

Probabilistic Numerical Methods - From Theory to Implementation (Dagstuhl Seminar 21432).

[BibT_eX]

[DOI]

Dagstuhl Reports, 2021

Deterministic and Probabilistic Error Bounds for Floating Point Summation Algorithms.

[BibT_eX]

[DOI]

Eric Hallman

CoRR, 2021

2020

Probabilistic Error Analysis for Inner Products.

[BibT_eX]

[DOI]

Hua Zhou

SIAM J. Matrix Anal. Appl., 2020

A Probabilistic Numerical Extension of the Conjugate Gradient Method.

[BibT_eX]

[DOI]

CoRR, 2020

Multiplicative Perturbation Bounds for Multivariate Multiple Linear Regression in Schatten p-Norms.

[BibT_eX]

[DOI]

Jocelyn T. Chi

CoRR, 2020

2019

Low-Rank Matrix Approximations Do Not Need a Singular Value Gap.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2019

Editorial: special edition on probabilistic numerics.

[BibT_eX]

[DOI]

Timothy John Sullivan

Stat. Comput., 2019

Probabilistic linear solvers: a unifying view.

[BibT_eX]

[DOI]

Stat. Comput., 2019

2018

A Probabilistic Subspace Bound with Application to Active Subspaces.

[BibT_eX]

[DOI]

Ralph C. Smith

SIAM J. Matrix Anal. Appl., 2018

Structural Convergence Results for Approximation of Dominant Subspaces from Block Krylov Spaces.

[BibT_eX]

[DOI]

Eugenia-Maria Kontopoulou

Malik Magdon-Ismail

SIAM J. Matrix Anal. Appl., 2018

Randomized Least Squares Regression: Combining Model- and Algorithm-Induced Uncertainties.

[BibT_eX]

[DOI]

Jocelyn T. Chi

CoRR, 2018

2017

Randomized matrix-free trace and log-determinant estimators.

[BibT_eX]

[DOI]

Arvind K. Saibaba

Alen Alexanderian

Numerische Mathematik, 2017

2016

Structural Convergence Results for Low-Rank Approximations from Block Krylov Spaces.

[BibT_eX]

[DOI]

Eugenia-Maria Kontopoulou

Malik Magdon-Ismail

CoRR, 2016

2015

Conditioning of Leverage Scores and Computation by QR Decomposition.

[BibT_eX]

[DOI]

Thomas Wentworth

SIAM J. Matrix Anal. Appl., 2015

Randomized Approximation of the Gram Matrix: Exact Computation and Probabilistic Bounds.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2015

2014

The Effect of Coherence on Sampling from Matrices with Orthonormal Columns, and Preconditioned Least Squares Problems.

[BibT_eX]

[DOI]

Thomas Wentworth

SIAM J. Matrix Anal. Appl., 2014

kappa_SQ: A Matlab package for randomized sampling of matrices with orthonormal columns.

[BibT_eX]

[DOI]

Thomas Wentworth

CoRR, 2014

2013

Randomized Matrix Multiplication: Exact Computation and Probabilistic Bounds.

[BibT_eX]

[DOI]

CoRR, 2013

2012

Research Spotlights.

[BibT_eX]

[DOI]

Sylvester David Eriksson-Bique

SIAM Rev., 2012

2011

Importance Sampling for a Monte Carlo Matrix Multiplication Algorithm, with Application to Information Retrieval.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2011

Expository Research Papers.

[BibT_eX]

[DOI]

SIAM Rev., 2011

Rank-Deficient Nonlinear Least Squares Problems and Subset Selection.

[BibT_eX]

[DOI]

C. T. Kelley

S. R. Pope

SIAM J. Numer. Anal., 2011

Computing Characteristic Polynomials from Eigenvalues.

[BibT_eX]

[DOI]

Rizwana Rehman

SIAM J. Matrix Anal. Appl., 2011

Ergodicity Coefficients Defined by Vector Norms.

[BibT_eX]

[DOI]

Teresa M. Selee

SIAM J. Matrix Anal. Appl., 2011

2009

Problems and Techniques.

[BibT_eX]

[DOI]

SIAM Rev., 2009

Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices.

[BibT_eX]

[DOI]

Boaz Nadler

SIAM J. Matrix Anal. Appl., 2009

Special Issue on Accurate Solution of Eigenvalue Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

Numerical Matrix Analysis - Linear Systems and Least Squares.

[BibT_eX]

[DOI]

SIAM, ISBN: 978-0-89871-676-4, 2009

2008

Ordinal Ranking for Google's PageRank.

[BibT_eX]

[DOI]

Rebecca S. Wills

SIAM J. Matrix Anal. Appl., 2008

Perturbation Bounds for Determinants and Characteristic Polynomials.

[BibT_eX]

[DOI]

Rizwana Rehman

SIAM J. Matrix Anal. Appl., 2008

2007

Condition Estimates for Pseudo-Arclength Continuation.

[BibT_eX]

[DOI]

K. I. Dickson

C. T. Kelley

Ioannis G. Kevrekidis

SIAM J. Numer. Anal., 2007

PageRank Computation, with Special Attention to Dangling Nodes.

[BibT_eX]

[DOI]

Teresa M. Selee

SIAM J. Matrix Anal. Appl., 2007

2006

Communicating Applied Mathematics: Four Examples.

[BibT_eX]

[DOI]

Daniel E. Finkel

Christopher M. Kuster

SIAM Rev., 2006

Convergence Analysis of a PageRank Updating Algorithm by Langville and Meyer.

[BibT_eX]

[DOI]

Steve Kirkland

SIAM J. Matrix Anal. Appl., 2006

2001

A Note on Preconditioning Nonsymmetric Matrices.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2001

1998

The Lack of Influence of the Right-Hand Side on the Accuracy of Linear System Solution.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1998

Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds.

[BibT_eX]

[DOI]

Stanley C. Eisenstat

SIAM J. Matrix Anal. Appl., 1998

1997

Computing an Eigenvector with Inverse Iteration.

[BibT_eX]

[DOI]

SIAM Rev., 1997

1995

Analysis of a QR Algorithm for Computing Singular Values.

[BibT_eX]

[DOI]

S. Chandrasekaran

SIAM J. Matrix Anal. Appl., 1995

On the Sensitivity of Solution Components in Linear Systems of Equations.

[BibT_eX]

[DOI]

S. Chandrasekaran

SIAM J. Matrix Anal. Appl., 1995

1994

Uniform Stability of Markov Chains.

[BibT_eX]

[DOI]

Carl Dean Meyer

SIAM J. Matrix Anal. Appl., October, 1994

On Rank-Revealing Factorisations.

[BibT_eX]

[DOI]

Shivkumar Chandrasekaran

SIAM J. Matrix Anal. Appl., April, 1994

1992

Improving the Accuracy of Inverse Iteration.

[BibT_eX]

[DOI]

Elizabeth R. Jessup

SIAM J. Sci. Comput., 1992

1990

Solving the Symmetric Tridiagonal Eigenvalue Problem on the Hypercube.

[BibT_eX]

[DOI]

Elizabeth R. Jessup

SIAM J. Sci. Comput., 1990

1989

Recursive Mesh Refinement on Hypercubes.

[BibT_eX]

[DOI]

William Gropp

BIT, 1989

Parallel Computation of Algorithms with Uniform Dependences.

[BibT_eX]

Jean-Marc Delosme

Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing, 1989

1987

A Gray-Code Schmee for Mesh Refinement on Hypercubes.

[BibT_eX]

William Gropp