Ilse Ipsen
#48,365
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German American mathematician
Ilse Ipsen's AcademicInfluence.com Rankings
Ilse Ipsenmathematics Degrees
Mathematics
#2791
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#4234
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Measure Theory
#2919
World Rank
#3467
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Mathematics
Ilse Ipsen's Degrees
- PhD Mathematics University of Bremen
- Masters Mathematics University of Bremen
Why Is Ilse Ipsen Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ilse Clara Franziska Ipsen is a German-American mathematician who works as a professor of mathematics at North Carolina State University. She was formerly associate director of the Statistical and Applied Mathematical Sciences Institute, a joint venture of North Carolina State and other nearby universities.
Ilse Ipsen's Published Works
Published Works
- A Note on Preconditioning Nonsymmetric Matrices (2001) (165)
- Computing an Eigenvector with Inverse Iteration (1997) (165)
- THE IDEA BEHIND KRYLOV METHODS (1998) (163)
- On Rank-Revealing Factorisations (1994) (131)
- Relative perturbation techniques for singular value problems (1995) (125)
- GMRES and the minimal polynomial (1996) (107)
- How to Embed Trees in Hypercubes. (1985) (105)
- PageRank Computation, with Special Attention to Dangling Nodes (2007) (96)
- Ergodicity Coefficients Defined by Vector Norms (2011) (91)
- Relative perturbation results for matrix eigenvalues and singular values (1998) (91)
- Solving the Symmetric Tridiagonal Eigenvalue Problem on the Hypercube (1990) (83)
- Perturbation Bounds for Determinants and Characteristic Polynomials (2008) (77)
- The Angle Between Complementary Subspaces (1995) (77)
- Uniform Stability of Markov Chains (1994) (76)
- Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds (1998) (75)
- Convergence Analysis of a PageRank Updating Algorithm by Langville and Meyer (2005) (73)
- Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices (2009) (70)
- Numerical Matrix Analysis - Linear Systems and Least Squares (2009) (69)
- Systolic Networks for Orthogonal Decompositions (1983) (64)
- Randomized matrix-free trace and log-determinant estimators (2016) (60)
- Improving the Accuracy of Inverse Iteration (1992) (59)
- Complexity of dense linear system solution on a multiprocessor ring. Research report (1986) (59)
- On the Sensitivity of Solution Components in Linear Systems of Equations (1995) (57)
- Accurate Eigenvalues for Fast Trains (2004) (56)
- Eigenvector Continuation with Subspace Learning. (2017) (54)
- Determinant Approximations (2011) (51)
- Expressions and Bounds for the GMRES Residual (2000) (50)
- Systolic array synthesis: computability and time cones (1986) (45)
- Parallel solution of symmetric positive definite systems with hyperbolic rotations (1986) (44)
- Mathematical properties and analysis of Google's PageRank (2008) (44)
- Rank-Deficient Nonlinear Least Squares Problems and Subset Selection (2011) (43)
- Randomized Approximation of the Gram Matrix: Exact Computation and Probabilistic Bounds (2013) (41)
- Scaled givens rotations for the solution of linear least squares problems on systolic arrays (1987) (39)
- Condition Estimates for Pseudo-Arclength Continuation (2006) (37)
- The Lack of Influence of the Right-Hand Side on the Accuracy of Linear System Solution (1998) (36)
- Importance Sampling for a Monte Carlo Matrix Multiplication Algorithm, with Application to Information Retrieval (2011) (34)
- Convergence Estimates for Solution of Integral Equations with GMRES (1996) (34)
- The Effect of Coherence on Sampling from Matrices with Orthonormal Columns, and Preconditioned Least Squares Problems (2012) (34)
- Analysis of a QR Algorithm for Computing Singular Values (1995) (32)
- Relative perturbation results for eigenvalues and eigenvectors of diagonalisable matrices (1998) (31)
- Ordinal Ranking for Google's PageRank (2008) (29)
- Efficient Systolic Arrays for the Solution of Toeplitz Systems: An Illustration of a Methodology for the Construction of Systolic Architectures in VLSI (Very Large Systems Integration). (1985) (27)
- Design Methodology For Systolic Arrays (1986) (27)
- An overview of relative sin T theorems for invariant subspaces of complex matrices (2000) (25)
- Structural Convergence Results for Approximation of Dominant Subspaces from Block Krylov Spaces (2016) (23)
- OCCURRENCE OF LYMPHOCYTOSIS IN DAIRY CATTLE HERDS WITH HIGH INCIDENCE OF LYMPHOSARCOMA * (1963) (23)
- Computing Characteristic Polynomials from Eigenvalues (2011) (22)
- A history of inverse iteration (1994) (20)
- Probabilistic linear solvers: a unifying view (2018) (19)
- Low-Rank Matrix Approximations Do Not Need a Singular Value Gap (2018) (18)
- Perturbation Theory for the Solution of Systems of Linear Equations (1991) (17)
- Absolute and relative perturbation bounds for invariant subspaces of matrices (2000) (17)
- A note on unifying absolute and relative perturbation bounds (2003) (17)
- Probabilistic Error Analysis for Inner Products (2019) (16)
- Singular Value Decomposition With Systolic Arrays (1984) (15)
- A Probabilistic Subspace Bound with Application to Active Subspaces (2018) (13)
- Convergence analysis of an improved pagerank algorithm (2004) (13)
- A note on the field of values of non-normal matrices (1998) (13)
- A Bayesian Conjugate Gradient Method (with Discussion) (2019) (13)
- Zone determinant expansions for nuclear lattice simulations (2003) (12)
- Inclusion regions for matrix eigenvalues (2003) (12)
- The Impact of Parallel Architectures on The Solution of Eigenvalue Problems (1986) (11)
- Conditioning of Leverage Scores and Computation by QR Decomposition (2014) (11)
- Backward errors for eigenvalue and singular value decompositions (1994) (11)
- From Bareiss' Algorithm to the Stable Computation of Partial Correlations (1989) (11)
- Special Issue on Accurate Solution Of Eigenvalue Problems (2006) (9)
- Recursive mesh refinement on hypercubes (1989) (9)
- A Numerical Analyst Looks at the "Cutoff Phenomenon" in Card Shuffling and Other Markov Chains (2007) (9)
- A Parallel QR Method Using Fast Givens' Rotations. (1984) (8)
- Singular Value Computations with Systolic Arrays. (1983) (8)
- Systolic Algorithms for the Parallel Solution of Dense Symmetric Positive-Definite Toeplitz Systems (1988) (7)
- If a matrix has only a single eigenvalue how sensitive Is this eigenvalue? II (1997) (7)
- LA BUDDE'S METHOD FOR COMPUTING CHARACTERISTIC POLYNOMIALS (2011) (6)
- Structural Convergence Results for Low-Rank Approximations from Block Krylov Spaces (2016) (6)
- Probabilistic Iterative Methods for Linear Systems (2020) (6)
- Efficient Parallel Solution of Linear Systems with Hyperbolic Rotations. (1984) (6)
- Parallel Scaled Givens Rotations for the Solution of Linear Least Squares Problems. (1984) (5)
- Helmut Wielandt's contributions to the numerical solution of complex eigenvalue problems (1994) (5)
- A projector-based approach to quantifying total and excess uncertainties for sketched linear regression (2018) (5)
- Some Remarks on the Generalised Bareiss and Levinson Algorithms (1991) (5)
- When rank trumps precision: using the power method to compute google's pagerank (2007) (5)
- Sensitivity of Leverage Scores (2014) (5)
- Randomized Least Squares Regression: Combining Model- and Algorithm-Induced Uncertainties (2018) (4)
- BayesCG As An Uncertainty Aware Version of CG (2020) (4)
- ParLance: A Para-Functional Programming Environment for Parallel and Distributed Computing. (1987) (4)
- The Eigenproblem and Invariant Subspaces: Perturbation Theory (2010) (4)
- Supplementary Material for “ A Bayesian Conjugate-Gradient Method ” (2018) (4)
- Numerical computation of the characteristic polynomial of a complex matrix (2010) (4)
- Parallel Computation of Algorithms with Uniform Dependences (1989) (3)
- kappa_SQ: A Matlab package for randomized sampling of matrices with orthonormal columns (2014) (3)
- 4. Singular Value Decomposition (2009) (3)
- Computing Partial Correlations from the Data Matrix. (1987) (3)
- Departure from normality and eigenvalue perturbation bounds (2003) (3)
- Efficient Computation of Gaussian Likelihoods for Stationary Markov Random Field Models (2015) (3)
- A Probabilistic Numerical Extension of the Conjugate Gradient Method. (2020) (3)
- Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix (2022) (3)
- A different approach to bounding the minimal residual norm in Krylov methods (1998) (3)
- Research Spotlights (2012) (3)
- Communicating Applied Mathematics: Four Examples (2006) (2)
- The Cholesky Factorization, Schur Complements, Correlation Coefficients, Angles between Vectors, and the QR Factorization. (1988) (2)
- A divide and conquer algorithm for computing singular values (1994) (2)
- Multiplicative Perturbation Bounds for Multivariate Multiple Linear Regression in Schatten p-Norms (2020) (2)
- 5. Least Squares Problems (2009) (1)
- Precision-aware Deterministic and Probabilistic Error Bounds for Floating Point Summation (2022) (1)
- ACCURACY OF RESPONSE SURFACES OVER ACTIVE SUBSPACES COMPUTED WITH RANDOM SAMPLING∗ (2015) (1)
- Preface to the 14th ILAS Conference Proceedings Shanghai 2007 (2009) (1)
- Twenty-third Mathematical and Statistical Modeling Workshop for Graduate Students (2017) (1)
- SEAGLE: A Scalable Exact Algorithm for Large-Scale Set-Based Gene-Environment Interaction Tests in Biobank Data (2021) (1)
- Expository Research Papers (2011) (1)
- RANK-DEFICIENT AND ILL-CONDITIONED NONLINEAR LEAST SQUARES PROBLEMS (2010) (1)
- A Geometric Analysis of Model- and Algorithm-Induced Uncertainties for Randomized Least Squares Regression (2018) (1)
- Stability radius and optimal scaling of discrete-time periodic systems (2001) (1)
- SAGA and CONDENSE: a two-phase approach for the implementation of recurrence equations on multiprocessor architectures (1988) (1)
- A DIFFERENT APPROACH TO BOUNDING THE MINIMALRESIDUAL NORM IN KRYLOV (1998) (1)
- Randomized Matrix Multiplication: Exact Computation and Probabilistic Bounds (2013) (1)
- 2. Sensitivity, Errors, and Norms (2009) (0)
- Seventeenth Mathematical and Statistical Modeling Workshop for graduate students (2011) (0)
- Robust Parameter Identifiability Analysis via Column Subset Selection (2022) (0)
- Uncertainties in Randomized Dimension Reduction for Least Squares Regression (2020) (0)
- TWENTY-FOURTH MATHEMATICAL AND STATISTICAL MODELING WORKSHOP FOR GRADUATE STUDENTS (2019) (0)
- Ritz value bounds that exploit quasi-sparsity (2003) (0)
- PROBABILISTIC ERROR ANALYSIS FOR SEQUENTIAL SUMMATION OF REAL FLOATING POINT NUMBERS∗ (2021) (0)
- A GEOMETRIC ANALYSIS OF 1 MODEL-AND ALGORITHM-INDUCED UNCERTAINTIES 2 FOR RANDOMIZED LEAST SQUARES REGRESSION (2019) (0)
- S ep 2 01 9 A GEOMETRIC ANALYSIS OF MODEL-AND ALGORITHM-INDUCED UNCERTAINTIES FOR RANDOMIZED LEAST SQUARES REGRESSION (0)
- A Bibliography of Publications of Ilse C. F. Ipsen (2015) (0)
- Fast Design of Good Systolic Systems (1989) (0)
- Problems and Techniques (2006) (0)
- SAGA & CONDENSE: A TWO-PHASE APPROACH FOR THE IMPLEMENTATION OF RECURRENCE EQUATIONS (1988) (0)
- Randomized matrix-free trace and log-determinant estimators (2017) (0)
- SENSITIVITY OF LEVERAGE SCORES AND COHERENCE FOR RANDOMIZED MATRIX ALGORITHMS (2013) (0)
- Probabilistic Numerical Methods – From Theory to Implementation (2022) (0)
- PROBABILISTIC ERROR (2020) (0)
- Absolute and relative perturbation bounds for invariant subspaces of diagoalisable matrices (1997) (0)
- Unofficial Survival Guide for survivors at TU Delft (2013) (0)
- Deterministic and Probabilistic Error Bounds for Floating Point Summation Algorithms (2021) (0)
- Statistical Properties of the Probabilistic Numeric Linear Solver BayesCG (2022) (0)
- LOW-RANK MATRIX APPROXIMATIONS DO NOT NEED A SINGULAR VALUE GAP \ast (2019) (0)
- Twenty-second mathematical and statistical modeling workshop for graduate students (2016) (0)
- 3. Linear Systems (2009) (0)
- DEPARTURE FROM NORMALITY AND EIGENVALUE PERTURBATION BOUNDS ( 3 JULY 2003 ) (2003) (0)
- EditionBackward errors for eigenvalue and singularvalue decompositions ? (1994) (0)
- Probabilistic Numerical Methods - From Theory to Implementation (Dagstuhl Seminar 21432) (2021) (0)
- Editorial: special edition on probabilistic numerics (2019) (0)
- ROBUST PARAMETER IDENTIFIABILITY ANALYSIS 1 VIA SUBSET SELECTION (2022) (0)
- SEAGLE: A Scalable Exact Algorithm for Large-Scale Set-Based GxE Tests in Biobank Data (2021) (0)
- Fifteenth mathematical and statistical modeling workshop for graduate students (2010) (0)
- A Gray-Code Schmee for Mesh Refinement on Hypercubes (1987) (0)
- Small singular values can increase in lower precision (2023) (0)
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