# Alan Edelman

American mathematician and computer scientist

## Alan Edelman's AcademicInfluence.com Rankings

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Computer Science Mathematics

## Alan Edelman's Degrees

- Bachelors Mathematics University of Chicago

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## Why Is Alan Edelman Influential?

(Suggest an Edit or Addition)According to Wikipedia, Alan Stuart Edelman is an American mathematician and computer scientist. He is a professor of applied mathematics at the Massachusetts Institute of Technology and a Principal Investigator at the MIT Computer Science and Artificial Intelligence Laboratory where he leads a group in applied computing. In 2004, he founded a business called Interactive Supercomputing which was later acquired by Microsoft. Edelman is a fellow of American Mathematical Society , Society for Industrial and Applied Mathematics , Institute of Electrical and Electronics Engineers , and Association for Computing Machinery , for his contributions in numerical linear algebra, computational science, parallel computing, and random matrix theory. He is one of the cocreators of the technical programming language Julia.

## Alan Edelman's Published Works

### Published Works

- Julia: A Fresh Approach to Numerical Computing (2014) (3711)
- The Geometry of Algorithms with Orthogonality Constraints (1998) (2586)
- Eigenvalues and condition numbers of random matrices (1988) (1376)
- Julia: A Fast Dynamic Language for Technical Computing (2012) (670)
- Matrix models for beta ensembles (2002) (609)
- PetaBricks: a language and compiler for algorithmic choice (2009) (419)
- Erratum to “How many zeros of a random polynomial are real?” (1995) (394)
- Random matrix theory (2005) (270)
- Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples (2007) (269)
- Polynomial roots from companion matrix eigenvalues (1995) (248)
- The efficient evaluation of the hypergeometric function of a matrix argument (2005) (244)
- The Probability that a Random Real Gaussian Matrix haskReal Eigenvalues, Related Distributions, and the Circular Law (1997) (223)
- Mesh generation for implicit geometries (2005) (187)
- A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations (1997) (164)
- Modeling and rendering of weathered stone (2005) (163)
- Parallel MATLAB: Doing it Right (2005) (156)
- How many eigenvalues of a random matrix are real (1994) (154)
- Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation (1989) (147)
- Language and compiler support for auto-tuning variable-accuracy algorithms (2011) (137)
- Modeling and rendering of weathered stone (1999) (131)
- From Random Matrices to Stochastic Operators (2006) (122)
- A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm (1999) (122)
- A Differentiable Programming System to Bridge Machine Learning and Scientific Computing (2019) (120)
- Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models (2005) (111)
- Tails of Condition Number Distributions (2005) (102)
- The Polynomial Method for Random Matrices (2006) (91)
- MOPS: Multivariate orthogonal polynomials (symbolically) (2004) (90)
- The distribution and moments of the smallest eigenvalue of a random matrix of wishart type (1991) (89)
- The dimension of matrices (matrix pencils) with given Jordan (Kronecker) canonical forms (1995) (89)
- On the distribution of a scaled condition number (1992) (83)
- Statistical eigen-inference from large Wishart matrices (2007) (78)
- Large Dense Numerical Linear Algebra in 1993: the Parallel Computing Influence (1993) (77)
- The Beta-Jacobi Matrix Model, the CS Decomposition, and Generalized Singular Value Problems (2008) (76)
- On the largest principal angle between random subspaces (2006) (75)
- The Future Fast Fourier Transform? (1997) (66)
- Optimal Matrix Transposition and Bit Reversal on Hypercubes: All-to-All Personalized Communication (1991) (58)
- Eigenvalues of Hermite and Laguerre ensembles: large beta asymptotics (2004) (57)
- Circuitscape in Julia: High Performance Connectivity Modelling to Support Conservation Decisions (2019) (56)
- Julia: A Fresh Approach to Numerical Computing | SIAM Review | Vol. 59, No. 1 | Society for Industrial and Applied Mathematics (2017) (50)
- Random Matrix Theory and Its Innovative Applications (2013) (47)
- On conjugate gradient-like methods for eigen-like problems (1996) (42)
- Nongeneric Eigenvalue Perturbations of Jordan Blocks (1998) (42)
- Index Transformation Algorithms in a Linear Algebra Framework (1994) (39)
- Multiscale Computation with Interpolating Wavelets (1998) (39)
- Circuitscape: modeling landscape connectivity to promote conservation and human health (2016) (39)
- The Mathematics of the Pentium Division Bug (1997) (38)
- A Simple Estimate of the Condition Number of a Linear System (1995) (37)
- Rapid software prototyping for heterogeneous and distributed platforms (2019) (34)
- Autotuning multigrid with PetaBricks (2009) (33)
- Matrix Multiplication on Hypercubes Using Full Bandwith and Constant Storage (1991) (30)
- Circuitscape in Julia: Empowering Dynamic Approaches to Connectivity Assessment (2021) (30)
- Admissible slopes for monotone and convex interpolation (1987) (28)
- Beyond Universality in Random Matrix Theory (2014) (27)
- Array Operators Using Multiple Dispatch: A design methodology for array implementations in dynamic languages (2014) (27)
- An optimal hypercube direct N-body solver on the Connection Machine (1990) (26)
- High-performance symbolic-numerics via multiple dispatch (2021) (24)
- The Singular Values of the GUE (Less is More) (2014) (24)
- ON LOCALLY SUPPORTED BASIS FUNCTIONS FOR THE REPRESENTATION OF GEOMETRICALLY CONTINUOUS CURVES (1987) (24)
- Numerical Methods for Eigenvalue Distributions of Random Matrices (2005) (23)
- An Efficient Partitioning Oracle for Bounded-Treewidth Graphs (2011) (22)
- The beta-Wishart ensemble (2013) (21)
- Scalable Parallel Numerical Methods and Software Tools for Material Design (1994) (20)
- Random Triangle Theory with Geometry and Applications (2015) (20)
- Oceananigans.jl: Fast and friendly geophysical fluid dynamics on GPUs (2020) (19)
- The Computation and Sensitivity of Double Eigenvalues (1998) (19)
- Non‐Fourier‐encoded parallel MRI using multiple receiver coils (2004) (19)
- A Novel Parallel Sorting Algorithm for Contemporary Architectures (2007) (18)
- Asymptotic Mean Squared Error Performance of Diagonally Loaded Capon-MVDR Processor (2005) (18)
- Error analysis of free probability approximations to the density of states of disordered systems. (2012) (17)
- The Complete Pivoting Conjecture for Gaussian Elimination is False (1992) (17)
- On the complete pivoting conjecture for a hadamard matrix of order 12 (1995) (17)
- Generalized Physics-Informed Learning through Language-Wide Differentiable Programming (2020) (16)
- Accelerating Simulation of Stiff Nonlinear Systems using Continuous-Time Echo State Networks (2020) (15)
- Density of states of quantum spin systems from isotropic entanglement. (2011) (15)
- Nonlinear Eigenvalue Problems (2000) (14)
- Sturm Sequences and Random Eigenvalue Distributions (2009) (14)
- Uncertainty Quantification of Ocean Parameterizations: Application to the K‐Profile‐Parameterization for Penetrative Convection (2020) (14)
- Interactive Supercomputing’s Star-P Platform (2006) (13)
- The Circular Law and the Probability that a Random Matrix Has k Real Eigenvalues (1993) (13)
- The first annual large dense linear system survey (1991) (13)
- Free Probability, Sample Covariance Matrices, and Signal Processing (2006) (13)
- MATLAB*P 2.0: A unified parallel MATLAB (2003) (13)
- Infinite Random Matrix Theory, Tridiagonal Bordered Toeplitz Matrices, and the Moment Problem (2014) (13)
- On Machine Learning and Programming Languages (2018) (12)
- The bias of the MVDR beamformer outputs under diagonal loading (2005) (12)
- The Beta-MANOVA Ensemble with General Covariance (2013) (11)
- Hypercube Algorithms for Direct N-Body Solvers for Different Granularities (1993) (11)
- Eigenvalue Roulette and Random Test Matrices (1993) (10)
- Staircase Failures Explained by Orthogonal Versal Forms (2000) (10)
- Modeling and rendering of weathered stone (1999) (9)
- Eigenvalue distributions of beta-Wishart matrices (2014) (9)
- Julia implementation of the Dynamic Distributed Dimensional Data Model (2016) (9)
- A fast projected conjugate gradient algorithm for training support vector machines (2001) (9)
- Novel algebras for advanced analytics in Julia (2013) (9)
- TabulaROSA: Tabular Operating System Architecture for Massively Parallel Heterogeneous Compute Engines (2018) (8)
- Scaling for orthogonality (1993) (8)
- Composing Modeling And Simulation With Machine Learning In Julia (2021) (8)
- Random matrix theory, numerical computation and applications (2013) (7)
- A counterexample to a hadamard matrix pivot conjecture (1998) (7)
- Julia: A fresh approach to parallel programming (2015) (7)
- On computing Schur functions and series thereof (2018) (6)
- Interactive Supercomputing with PPMatlab (1998) (6)
- Large numerical linear algebra in 1994: the continuing influence of parallel computing (1994) (5)
- Partial freeness of random matrices (2012) (5)
- Interactive Supercomputing with MITMatlab (1998) (5)
- The Star-P High Performance Computing Platform (2007) (5)
- Accelerated Convolutions for Efficient Multi-Scale Time to Contact Computation in Julia (2016) (4)
- On Parlett's matrix norm inequality for the Cholesky decomposition (1995) (4)
- Curvature in Conjugate Gradient Eigenvalue Computation with Applications to Materials and Chemistry (1994) (4)
- Parallel Prefix Polymorphism Permits Parallelization, Presentation & Proof (2014) (4)
- Fifty Three Matrix Factorizations: A systematic approach (2021) (4)
- MITMatlab: A Tool for Interactive Supercomputing (1999) (4)
- Isotropic Entanglement (2010) (3)
- A simple model for assessing climate control trade-offs and responding to unanticipated climate outcomes (2021) (3)
- The GSVD: Where are the Ellipses?, Matrix Trigonometry, and More (2019) (3)
- Integral geometry for Markov chain Monte Carlo: overcoming the curse of search-subspace dimensionality (2015) (3)
- Building Blocks and Excluded Sums (2005) (3)
- Mixing Implicit and Explicit Deep Learning with Skip DEQs and Infinite Time Neural ODEs (Continuous DEQs) (2022) (3)
- Signal Enhancement for Magnetic Navigation Challenge Problem (2020) (3)
- Low-temperature random matrix theory at the soft edge (2014) (3)
- Bridging HPC Communities through the Julia Programming Language (2022) (2)
- 18.325: Finite Random Matrix Theory Jacobians of Matrix Transforms (without wedge products) (2005) (2)
- Enhancing the acquisition efficiency of fast magnetic resonance imaging via broadband encoding of signal content. (2006) (2)
- Spiral Echo-Planar Trajectories for 3D Non-Fourier Encoded MRI (2002) (2)
- On the Determinant of a Uniformly Distributed Complex Matrix (1995) (2)
- Random Hyperplanes, Generalized Singular Values & “What’s My β?” (2018) (2)
- Composable and Reusable Neural Surrogates to Predict System Response of Causal Model Components (2022) (2)
- Sample covariance based estimation of Capon algorithm error probabilities (2010) (2)
- ST / 0 70 13 14 v 1 11 J an 2 00 7 Statistical eigen-inference from large Wishart matrices (2007) (2)
- The generalized Cartan decomposition for classical random matrix ensembles (2020) (2)
- Performance of sample covariance based capon bearing only tracker (2011) (1)
- Sparsity Programming: Automated Sparsity-Aware Optimizations in Differentiable Programming (2019) (1)
- 18.338: The Eigenvalues of Random Matrices Histogramming (2005) (1)
- On the Probability Distribution of the Outputs of the Diagonally Loaded Capon-MVDR Processor (2005) (1)
- Free Probability, Sample Covariance Matrices and Stochastic Eigen-Inference (2006) (1)
- On the Cartan decomposition for classical random matrix ensembles (2020) (1)
- Eigenvalue approximation of sums of Hermitian matrices from eigenvector localization/delocalization (2017) (1)
- ACED: Accelerated Computational Electrochemical systems Discovery (2020) (1)
- Leveraging High Performance Computation for Statistical Wind Prediction (2010) (1)
- Fast multipole-type methods in one and two dimensions, with application to parallel fourier transforms (1998) (1)
- Condition Numbers of Indefinite Rank 2 Ghost Wishart Matrices (2012) (1)
- Fast computation of the principal components of genotype matrices in Julia (2018) (1)
- Fast Sorting on a Distributed-Memory Architecture (2005) (1)
- A multi-control climate policy process for a trusted decision maker (2020) (1)
- A LINEAR-TIME ALGORITHM FOR EVALUATING SERIES OF SCHUR FUNCTIONS (2007) (1)
- Orthogonal polynomials in monotone and convex interpolation (1988) (1)
- On the structure of the solutions to the matrix equation G*JG=J (2021) (1)
- Fast Magnetic Resonance Imaging via Adaptive Broadband Encoding of the MR Signal Content (2003) (1)
- Proceedings of the 1st First Workshop for High Performance Technical Computing in Dynamic Languages, HPTCDL '14, New Orleans, Louisiana, USA, November 16-21, 2014 (2014) (1)
- 6.50s A Peek at Parallel Processing from an Applications Perspective (1996) (0)
- So What's innovative and exotic about star-P for MATLAB and other clients? (2006) (0)
- Lawrence Berkeley National Laboratory Recent Work Title The Complete Pivoting Conjecture for Gaussian Elimination is False Permalink (2013) (0)
- RandomMatrices.jl v0.2.0 (2015) (0)
- Erratum: Hypercube Algorithms for Direct N-Body Solvers for Different Granularities (1994) (0)
- Shirayanagi-Sweedler Algebraic Algorithm Stabilization and Polynomial GCD Algorithms by Pramook Khungurn (2008) (0)
- Sample size cognizant detection of signals in white noise (2007) (0)
- BACKpropagation through BACK substitution with a BACKslash (2023) (0)
- The densities and distributions of the largest eigenvalue and the trace of a Beta–Wishart matrix (2019) (0)
- Autotuning multigrid with PetaBricks Citation (2012) (0)
- A more open efficient future for AI development and data science with an introduction to Julia (2017) (0)
- Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed! (2023) (0)
- Consider the “ big ” laws for asymptotic level densities for various random matrices : Wigner semicircle law (2014) (0)
- Some New Results on the Maximum Growth Factor in Gaussian Elimination (2023) (0)
- Random Triangle Theory with Geometry and Applications (2015) (0)
- Shape optimization using a matrix-free Newton method (2008) (0)
- Numerical Methods for Eigenvalue Distributions of (2008) (0)
- 18.337J / 6.338J Applied Parallel Computing (SMA 5505), Spring 2003 (2003) (0)
- Calculating the density of states in disordered systems using free probability (2012) (0)
- Lawrence Berkeley National Laboratory Recent Work Title Leveraging High Performance Computation for Statistical Wind Prediction Permalink (2010) (0)
- Automated Translation and Accelerated Solving of Differential Equations on Multiple GPU Platforms (2023) (0)
- 1. Title: A Modular System for Increasing Predictiveness for Extreme Climate Predictions 2. Authors/Affiliations: (0)
- Curvature in Conjugate Gradient Eigenvalue (1994) (0)
- Ja n 20 07 Statistical eigen-inference from large Wishart matrices (2007) (0)
- Support vector machine algorithms: analysis and applications (2002) (0)
- Ju n 20 02 Matrix Models for Beta Ensembles (2002) (0)
- AutoMat: Automated materials discovery for electrochemical systems (2022) (0)
- 1 2 D ec 2 00 7 Statistical eigen-inference from large Wishart matrices N (2007) (0)
- Lawrence Berkeley National Laboratory Recent Work Title (1998) (0)
- 18.338J/16.394J: The Mathematics of Infinite Random Matrices Histogramming (2004) (0)
- Performance Bounds for Quantum Control (2023) (0)
- Continuous Deep Equilibrium Models: Training Neural ODEs faster by integrating them to Infinity (2022) (0)
- Visualizing Large Kronecker Graphs (2011) (0)
- Snapshots of Mobile Jacobi (1991) (0)
- RandomMatrices.jl v0.1.0 (2014) (0)
- Sparse random structures: Analysis and Computations (2010) (0)
- Lawrence Berkeley National Laboratory Recent Work Title Sturm Sequences and Random Eigenvalue Distributions Permalink (2008) (0)
- The conditional DPP approach to random matrix distributions (2023) (0)
- Accelerating Deep Learning Optimization in Mocha . jl Student : (2016) (0)
- JIAHAO CHEN AND ALAN EDELMAN PARTIAL FREENESS OF RANDOM (2012) (0)
- Advances in random matrix theory (2005) (0)
- Solving Multiple Classes of Problems in Parallel with MATLAB*P (2004) (0)

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