| Publication | Date of Publication | Type |
|---|
| Statistical properties of BayesCG under the Krylov prior | 2024-03-19 | Paper |
| Precision-aware deterministic and probabilistic error bounds for floating point summation | 2023-10-06 | Paper |
| Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix | 2023-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5053246 | 2022-12-06 | Paper |
| A projector-based approach to quantifying total and excess uncertainties for sketched linear regression | 2022-10-24 | Paper |
| Statistical Properties of the Probabilistic Numeric Linear Solver BayesCG | 2022-08-07 | Paper |
| Robust Parameter Identifiability Analysis via Column Subset Selection | 2022-05-09 | Paper |
| Deterministic and Probabilistic Error Bounds for Floating Point Summation Algorithms | 2021-07-04 | Paper |
| Multiplicative perturbation bounds for multivariate multiple linear regression in Schatten \(p\)-norms | 2021-06-04 | Paper |
| Probabilistic Error Analysis for Inner Products | 2021-01-26 | Paper |
| Probabilistic Iterative Methods for Linear Systems | 2020-12-23 | Paper |
| BayesCG As An Uncertainty Aware Version of CG | 2020-08-07 | Paper |
| Probabilistic linear solvers: a unifying view | 2020-02-26 | Paper |
| A Bayesian conjugate gradient method (with discussion) | 2019-10-17 | Paper |
| Low-Rank Matrix Approximations Do Not Need a Singular Value Gap | 2019-03-12 | Paper |
| A Probabilistic Subspace Bound with Application to Active Subspaces | 2018-09-05 | Paper |
| A Projector-Based Approach to Quantifying Total and Excess Uncertainties for Sketched Linear Regression | 2018-08-17 | Paper |
| Structural Convergence Results for Approximation of Dominant Subspaces from Block Krylov Spaces | 2018-04-06 | Paper |
| Randomized matrix-free trace and log-determinant estimators | 2017-10-10 | Paper |
| Conditioning of Leverage Scores and Computation by QR Decomposition | 2015-08-17 | Paper |
| Randomized Approximation of the Gram Matrix: Exact Computation and Probabilistic Bounds | 2015-05-21 | Paper |
| The Effect of Coherence on Sampling from Matrices with Orthonormal Columns, and Preconditioned Least Squares Problems | 2015-04-21 | Paper |
| kappa_SQ: A Matlab package for randomized sampling of matrices with orthonormal columns | 2014-02-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2897733 | 2012-07-16 | Paper |
| Importance Sampling for a Monte Carlo Matrix Multiplication Algorithm, with Application to Information Retrieval | 2011-12-07 | Paper |
| Rank-Deficient Nonlinear Least Squares Problems and Subset Selection | 2011-11-10 | Paper |
| Computing Characteristic Polynomials from Eigenvalues | 2011-06-15 | Paper |
| Ergodicity Coefficients Defined by Vector Norms | 2011-06-15 | Paper |
| Determinant Approximations | 2011-05-02 | Paper |
| La Budde's Method for Computing Characteristic Polynomials | 2011-04-19 | Paper |
| Ordinal Ranking for Google's PageRank | 2009-11-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5193161 | 2009-08-11 | Paper |
| Perturbation Bounds for Determinants and Characteristic Polynomials | 2009-04-30 | Paper |
| PageRank Computation, with Special Attention to Dangling Nodes | 2008-11-06 | Paper |
| Condition Estimates for Pseudo‐Arclength Continuation | 2008-03-10 | Paper |
| Communicating Applied Mathematics: Four Examples | 2006-06-01 | Paper |
| Convergence Analysis of a PageRank Updating Algorithm by Langville and Meyer | 2006-05-31 | Paper |
| A note on unifying absolute and relative perturbation bounds | 2003-02-05 | Paper |
| Inclusion regions for matrix eigenvalues | 2003-02-05 | Paper |
| A Note on Preconditioning Nonsymmetric Matrices | 2002-04-15 | Paper |
| The Idea behind Krylov Methods | 2001-11-26 | Paper |
| An overview of relative \(\sin\Theta\) theorems for invariant subspaces of complex matrices | 2001-06-26 | Paper |
| Expressions and bounds for the GMRES residual | 2001-05-31 | Paper |
| Absolute and relative perturbation bounds for invariant subspaces of matrices | 2000-12-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4215357 | 1999-07-07 | Paper |
| Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds | 1999-05-18 | Paper |
| Relative perturbation results for eigenvalues and eigenvectors of diagonalisable matrices | 1999-04-13 | Paper |
| The Lack of Influence of the Right-Hand Side on the Accuracy of Linear System Solution | 1998-09-21 | Paper |
| Computing an Eigenvector with Inverse Iteration | 1997-06-12 | Paper |
| GMRES and the minimal polynomial | 1997-03-11 | Paper |
| The Angle Between Complementary Subspaces | 1996-08-04 | Paper |
| Relative Perturbation Techniques for Singular Value Problems | 1996-05-21 | Paper |
| Analysis of a QR Algorithm for Computing Singular Values | 1995-11-30 | Paper |
| On the Sensitivity of Solution Components in Linear Systems of Equations | 1995-08-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4327451 | 1995-04-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4306794 | 1995-03-28 | Paper |
| Backward errors for eigenvalue and singular value decompositions | 1995-02-28 | Paper |
| Uniform Stability of Markov Chains | 1994-11-16 | Paper |
| On Rank-Revealing Factorisations | 1994-10-10 | Paper |
| Improving the Accuracy of Inverse Iteration | 1992-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3974756 | 1992-06-26 | Paper |
| Solving the Symmetric Tridiagonal Eigenvalue Problem on the Hypercube | 1990-01-01 | Paper |
| Recursive mesh refinement on hypercubes | 1989-01-01 | Paper |
| From Bareiss' algorithm to the stable computation of partial correlations | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3481150 | 1988-01-01 | Paper |
| Scaled Givens Rotations for the Solution of Linear Least Squares Problems on Systolic Arrays | 1987-01-01 | Paper |
| Parallel solution of symmetric positive definite systems with hyperbolic rotations | 1986-01-01 | Paper |
| Complexity of dense-linear-system solution on a multiprocessor ring | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4721605 | 1986-01-01 | Paper |
| Systolic Networks for Orthogonal Decompositions | 1983-01-01 | Paper |
