Anne Greenbaum | Academic Influence

Anne Greenbaum's AcademicInfluence.com Rankings

Anne Greenbaum

Mathematics

#3903

World Rank

#5647

Historical Rank

#1394

USA Rank

Applied Mathematics

#401

World Rank

#429

Historical Rank

#86

USA Rank

Measure Theory

#2936

World Rank

#3485

Historical Rank

#849

USA Rank

mathematics Degrees

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Mathematics

Anne Greenbaum's Degrees

PhD Applied Mathematics Stanford University
Masters Applied Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Why Is Anne Greenbaum Influential?

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According to Wikipedia, Anne Greenbaum is an American applied mathematician and professor at the University of Washington. She was named a SIAM Fellow in 2015 "for contributions to theoretical and numerical linear algebra". She has written graduate and undergraduate textbooks on numerical methods.

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Anne Greenbaum's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Iterative methods for solving linear systems (1997) (1570)
LAPACK Users' Guide, Third Edition (1999) (1243)
LAPACK Users' Guide, 3rd ed. (1999) (669)
Any Nonincreasing Convergence Curve is Possible for GMRES (1996) (259)
LAPACK Users' guide (third ed.) (1999) (210)
Behavior of slightly perturbed Lanczos and conjugate-gradient recurrences (1989) (157)
Predicting the Behavior of Finite Precision Lanczos and Conjugate Gradient Computations (2015) (129)
Estimating the Attainable Accuracy of Recursively Computed Residual Methods (1997) (120)
Comparison of splittings used with the conjugate gradient algorithm (1979) (107)
GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems (2018) (96)
Relations between Galerkin and Norm-Minimizing Iterative Methods for Solving Linear Systems (1996) (92)
Using Nonorthogonal Lanczos Vectors in the Computation of Matrix Functions (1998) (82)
Fast Parallel Iterative Solution of Poisson's and the Biharmonic Equations on Irregular Regions (2011) (80)
Numerical stability of GMRES (1995) (73)
Generalizations of the field of values useful in the study of polynomial functions of a matrix (2002) (69)
On the numerical solution of the biharmonic equation in the plane (1992) (67)
Numerical behaviour of the modified gram-schmidt GMRES implementation (1997) (63)
Approximating the inverse of a matrix for use in iterative algorithms on vector processors (1979) (62)
LAPACK's user's guide (1992) (56)
Laplace's Equation and the Dirichlet-Neumann Map in Multiply Connected Domains (2015) (48)
Max-Min Properties of Matrix Factor Norms (1994) (47)
Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms (2012) (46)
Matrices That Generate the Same Krylov Residual Spaces (2015) (40)
First-order Perturbation Theory for Eigenvalues and Eigenvectors (2019) (36)
Optimal preconditioners of a given sparsity pattern (2015) (34)
Numerical investigation of Crouzeix's conjecture (2017) (31)
Parallelizing preconditioned conjugate gradient algorithms (1989) (30)
Analysis of a Multigrid Method as an Iterative Technique for Solving Linear Systems (1984) (27)
A multigrid method for multiprocessors (1986) (27)
Recent advances in iterative methods (1994) (25)
The polynomial numerical hulls of Jordan blocks and related matrices (2003) (24)
Synchronization costs on multiprocessors (1989) (21)
LAPACK Working Note #5 : Provisional Contents (1988) (20)
Open questions in the convergence analysis of the lanczos process for the real symmetric eigenvalue problem (1992) (18)
Do the Pseudospectra of a Matrix Determine its Behavior (1993) (16)
Diagonal Scalings of the Laplacian as Preconditioners for Other Elliptic Differential Operators (2015) (16)
Some Extensions of the Crouzeix-Palencia Result (2017) (15)
Prospectus for the Development of a Linear Algebra Library for High-Performance Computers (1997) (15)
A new scheme for multi-dimensional line transfer—I. Formulation and 1-D results☆ (1989) (14)
Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions (2007) (14)
Crouzeix’s conjecture and perturbed Jordan blocks (2012) (13)
A Project for Developing a Linear Algebra Library for High-Performance Computers (1989) (13)
Rapid Parallel Evaluation of Integrals in Potential Theory on General Three-Dimensional Regions (1998) (12)
Some Equivalent Characterizations of the Polynomial Numerical Hull of Degree $k$ (2004) (12)
Roots of Matrices in the Study of GMRES Convergence and Crouzeix's Conjecture (2015) (11)
Card Shuffling and the Polynomial Numerical Hull of Degree k (2003) (11)
SOME THEORETICAL RESULTS DERIVED FROM POLYNOMIAL NUMERICAL HULLS OF JORDAN BLOCKS (11)
Spectral Sets: Numerical Range and Beyond (2018) (11)
A Petrov-Galerkin finite element method for solving the neutron transport equation (1986) (11)
Variational analysis of the Crouzeix ratio (2017) (10)
Analysis of an aggregation‐based algebraic two‐grid method for a rotated anisotropic diffusion problem (2015) (9)
Comparison of linear system solvers applied to diffusion-type finite element equations (2018) (9)
Crouzeix’s Conjecture and Related Problems (2020) (7)
Incomplete Cholesky conjugate gradient method for the STAR (5-point operator) (1977) (7)
LAPACK User's Guide / E. Anderson ... (1999) (6)
Working Note 17: Experiments with QR/QL Methods For The Symmetric Tridiagonal Eigenproblem (1989) (6)
Upper and lower bounds on norms of functions of matrices (2009) (6)
11. Incomplete Decompositions (1997) (5)
On solving indefinite symmetric linear systems by means of the Lanczos method (1999) (5)
Convergence properties of the conjugate gradient algorithm in exact and finite precision arithmetic (1981) (4)
Error bounds for Lanczos-based matrix function approximation (2021) (4)
Near Normal Dilations of Nonnormal Matrices and Linear Operators (2016) (3)
BIT Numerical Mathematics: Editorial (2005) (3)
On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic (2019) (3)
Finite element method for solving neutron transport problems (1984) (2)
Iterative Solution Methods for Linear Systems (2014) (2)
On the convergence rate of DGMRES (2018) (2)
Global error bounds for the Petrov–Galerkin discretization of the neutron transport equation (2005) (2)
GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices (2023) (1)
Low-memory Krylov subspace methods for optimal rational matrix function approximation (2022) (1)
12. Multigrid and Domain Decomposition Methods (1997) (1)
New Directions in Numerical Computation (2016) (1)
A Further Note on Max-Min Properties of Matrix Factor Norms (1995) (1)
[2] Edward Beltrami, Mathematical Models for Society and Biology, Academic (0)
Commentary (1979) (0)
Crouzeix ’ s conjecture organized (2019) (0)
10. Comparison of Preconditioners (1997) (0)
List of Reviewers (2012) (0)
Flexible environment supports Ada programming (1987) (0)
6. Is There a Short Recurrence for a Near-Optimal Approximation? (1997) (0)
Waveguides for spin-polarized currents in diluted magnetic semiconductor — nanomagnet hybrids (2009) (0)
2. Some Iteration Methods (1997) (0)
7 Acknowledgements (2007) (0)
9. Two Example Problems (1997) (0)
Open Problems in the Analysis of Krylov Subspace Methods (2023) (0)
4. Accuracy and Stability (1999) (0)
A computer program for plotting stress-strain data from compression, tension, and torsion tests of materials (1974) (0)
2. Contents of LAPACK95 (1999) (0)
Near-Optimality Guarantees for Approximating Rational Matrix Functions by the Lanczos Method (2023) (0)
Livermore Time-Sharing System. Part 4: library files. Chapter 307: Numerical Mathematics Group, Mathematical Software Library Catalog (1977) (0)
7. Miscellaneous Issues (1997) (0)
A brief Report on the article \Global error bounds for the Petrov{Galerkin discretization of the neutron transport equation " (2011) (0)
SP ] 3 J ul 2 01 8 Spectral sets : numerical range and beyond (2018) (0)
Design issues faced by one Ada embedded computer operating system (1985) (0)
for High-Performance Computers (1987) (0)
Livermore timesharing system. Part 4: library files. Chapter 307: mathematics and statistics software library catalog (1979) (0)
Variational analysis of the Crouzeix ratio (2016) (0)
3. Error Bounds for CG, MINRES, and GMRES (1997) (0)
5. Documentation and Software Conventions (1999) (0)
An Algorithm for Finding a 2-Similarity Transformation from a Numerical Contraction to a Contraction (2015) (0)
A Parallel Iterative Method for Solving 3-D Elliptic Partial Differential Equations (1990) (0)
Krylov Subspace Methods: Principles and Analysis, Jörg Liesen, Zdeněk Strakoš. (2013) (2013) (0)
Some uses of the symmetric Lanczos algorithm - and why it works! (1996) (0)
Global boundary conditions and fast Helmholtz solvers (1989) (0)
4. Effects of Finite Precision Arithmetic (1997) (0)
3. Performance of LAPACK (1999) (0)
6. Installing LAPACK Routines (1999) (0)
K-Spectral Sets (2023) (0)
5. BiCG and Related Methods (1997) (0)
8. Overview and Preconditioned Algorithms (1997) (0)

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Other Resources About Anne Greenbaum

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What Schools Are Affiliated With Anne Greenbaum?

Anne Greenbaum is affiliated with the following schools: