Alan Edelman

Orcid: 0000-0001-7676-3133

According to our database1, Alan Edelman authored at least 79 papers between 1990 and 2024.

Collaborative distances:

Awards

ACM Fellow

ACM Fellow 2020, "For contributions to algorithms and languages for numerical and scientific computing".

IEEE Fellow

IEEE Fellow 2018, "For contributions to the development of technical-computing languages".

Timeline

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Links

On csauthors.net:

Bibliography

2024
Performance Bounds for Quantum Feedback Control.
IEEE Trans. Autom. Control., November, 2024

Backpropagation through Back Substitution with a Backslash.
SIAM J. Matrix Anal. Appl., March, 2024

Some New Results on the Maximum Growth Factor in Gaussian Elimination.
SIAM J. Matrix Anal. Appl., 2024

On a perturbation analysis of Higham squared maximum Gaussian elimination growth matrices.
CoRR, 2024

NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia.
CoRR, 2024

2023
Fifty Three Matrix Factorizations: A Systematic Approach.
SIAM J. Matrix Anal. Appl., June, 2023

A New Upper Bound For the Growth Factor in Gaussian Elimination with Complete Pivoting.
CoRR, 2023

Oceananigans.jl: A model that achieves breakthrough resolution, memory and energy efficiency in global ocean simulations.
CoRR, 2023

The conditional DPP approach to random matrix distributions.
CoRR, 2023

Automated Translation and Accelerated Solving of Differential Equations on Multiple GPU Platforms.
CoRR, 2023

Performance Bounds for Quantum Control.
CoRR, 2023

Sum-of-Squares Bounds for Quantum Optimal Control.
Proceedings of the IEEE International Conference on Quantum Computing and Engineering, 2023

Locally Regularized Neural Differential Equations: Some Black Boxes were meant to remain closed!
Proceedings of the International Conference on Machine Learning, 2023

Continuous Deep Equilibrium Models: Training Neural ODEs Faster by Integrating Them to Infinity.
Proceedings of the IEEE High Performance Extreme Computing Conference, 2023

2022
Bridging HPC Communities through the Julia Programming Language.
CoRR, 2022

Mixing Implicit and Explicit Deep Learning with Skip DEQs and Infinite Time Neural ODEs (Continuous DEQs).
CoRR, 2022

Composing Modeling And Simulation With Machine Learning In Julia.
Proceedings of the Annual Modeling and Simulation Conference, 2022

2021
On the structure of the solutions to the matrix equation G<sup>*</sup>JG=J.
CoRR, 2021

High-performance symbolic-numerics via multiple dispatch.
ACM Commun. Comput. Algebra, 2021

Accelerating Simulation of Stiff Nonlinear Systems using Continuous-Time Echo State Networks.
Proceedings of the AAAI 2021 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 22nd - to, 2021

2020
The GSVD: Where are the Ellipses?, Matrix Trigonometry, and More.
SIAM J. Matrix Anal. Appl., 2020

Oceananigans.jl: Fast and friendly geophysical fluid dynamics on GPUs.
J. Open Source Softw., 2020

ACED: Accelerated Computational Electrochemical systems Discovery.
CoRR, 2020

Signal Enhancement for Magnetic Navigation Challenge Problem.
CoRR, 2020

Generalized Physics-Informed Learning through Language-Wide Differentiable Programming.
Proceedings of the AAAI 2020 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 23rd - to, 2020

2019
A Differentiable Programming System to Bridge Machine Learning and Scientific Computing.
CoRR, 2019

Rapid software prototyping for heterogeneous and distributed platforms.
Adv. Eng. Softw., 2019

2018
Fast computation of the principal components of genotype matrices in Julia.
CoRR, 2018

Random Hyperplanes, Generalized Singular Values & "What's My β?".
Proceedings of the 2018 IEEE Statistical Signal Processing Workshop, 2018

TabulaROSA: Tabular Operating System Architecture for Massively Parallel Heterogeneous Compute Engines.
Proceedings of the 2018 IEEE High Performance Extreme Computing Conference, 2018

2017
Julia: A Fresh Approach to Numerical Computing.
SIAM Rev., 2017

A more open efficient future for AI development and data science with an introduction to Julia.
Proceedings of the 2017 IEEE International Conference on Big Data (IEEE BigData 2017), 2017

2016
Accelerated Convolutions for Efficient Multi-Scale Time to Contact Computation in Julia.
CoRR, 2016

Julia implementation of the Dynamic Distributed Dimensional Data Model.
Proceedings of the 2016 IEEE High Performance Extreme Computing Conference, 2016

2015
Random Triangle Theory with Geometry and Applications.
Found. Comput. Math., 2015

Julia Introduction.
Proceedings of the 2015 IEEE International Parallel and Distributed Processing Symposium Workshop, 2015

Julia: A fresh approach to parallel programming.
Proceedings of the 2015 IEEE International Parallel and Distributed Processing Symposium, 2015

2014
Parallel prefix polymorphism permits parallelization, presentation & proof.
Proceedings of the 1st First Workshop for High Performance Technical Computing in Dynamic Languages, 2014

Array Operators Using Multiple Dispatch: A design methodology for array implementations in dynamic languages.
Proceedings of the ARRAY'14: Proceedings of the 2014 ACM SIGPLAN International Workshop on Libraries, 2014

2013
Novel algebras for advanced analytics in Julia.
Proceedings of the IEEE High Performance Extreme Computing Conference, 2013

2012
Julia: A Fast Dynamic Language for Technical Computing
CoRR, 2012

2011
Language and compiler support for auto-tuning variable-accuracy algorithms.
Proceedings of the CGO 2011, 2011

An Efficient Partitioning Oracle for Bounded-Treewidth Graphs.
Proceedings of the Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques, 2011

Performance of sample covariance based capon bearing only tracker.
Proceedings of the Conference Record of the Forty Fifth Asilomar Conference on Signals, 2011

Visualizing Large Kronecker Graphs.
Proceedings of the Graph Algorithms in the Language of Linear Algebra, 2011

2009
Sturm Sequences and Random Eigenvalue Distributions.
Found. Comput. Math., 2009

Autotuning multigrid with PetaBricks.
Proceedings of the ACM/IEEE Conference on High Performance Computing, 2009

PetaBricks: a language and compiler for algorithmic choice.
Proceedings of the 2009 ACM SIGPLAN Conference on Programming Language Design and Implementation, 2009

2008
Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples.
IEEE Trans. Signal Process., 2008

The Polynomial Method for Random Matrices.
Found. Comput. Math., 2008

The Beta-Jacobi Matrix Model, the CS Decomposition, and Generalized Singular Value Problems.
Found. Comput. Math., 2008

2007
MOPS: Multivariate orthogonal polynomials (symbolically).
J. Symb. Comput., 2007

Sample size cognizant detection of signals in white noise
CoRR, 2007

The Star-P High Performance Computing Platform.
Proceedings of the IEEE International Conference on Acoustics, 2007

2006
The efficient evaluation of the hypergeometric function of a matrix argument.
Math. Comput., 2006

Modeling and rendering of weathered stone.
Proceedings of the International Conference on Computer Graphics and Interactive Techniques, 2006

Innovative technologies II - So What's innovative and exotic about star-P for MATLAB and other clients?
Proceedings of the ACM/IEEE SC2006 Conference on High Performance Networking and Computing, 2006

Free Probability, Sample Covariance Matrices, and Signal Processing.
Proceedings of the 2006 IEEE International Conference on Acoustics Speech and Signal Processing, 2006

2005
Tails of Condition Number Distributions.
SIAM J. Matrix Anal. Appl., 2005

Parallel MATLAB: Doing it Right.
Proc. IEEE, 2005

The bias of the MVDR beamformer outputs under diagonal loading.
Proceedings of the 2005 IEEE International Conference on Acoustics, 2005

2004
Pascal Matrices.
Am. Math. Mon., 2004

2000
Staircase Failures Explained by Orthogonal Versal Forms.
SIAM J. Matrix Anal. Appl., 2000

1999
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm.
SIAM J. Matrix Anal. Appl., 1999

MITMatlab: A Tool for Interactive Supercomputing.
Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, 1999

1998
The Future Fast Fourier Transform?
SIAM J. Sci. Comput., 1998

The Geometry of Algorithms with Orthogonality Constraints.
SIAM J. Matrix Anal. Appl., 1998

1997
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations.
SIAM J. Matrix Anal. Appl., July, 1997

The Mathematics of the Pentium Division Bug.
SIAM Rev., 1997

1995
On Parlett's matrix norm inequality for the Cholesky decomposition.
Numer. Linear Algebra Appl., 1995

On the Determinant of a Uniformly Distributed Complex Matrix.
J. Complex., 1995

Scalable Parallel Numerical Methods and Software Tools for Material Design.
Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, 1995

1994
Index Transformation Algorithms in a Linear Algebra Framework.
IEEE Trans. Parallel Distributed Syst., 1994

Erratum: Hypercube Algorithms for Direct N-Body Solvers for Different Granularities.
SIAM J. Sci. Comput., 1994

1993
Scaling for orthogonality.
IEEE Trans. Signal Process., 1993

Hypercube Algorithms for Direct N-Body Solvers for Different Granularities.
SIAM J. Sci. Comput., 1993

Large Dense Numerical Linear Algebra in 1993: the Parallel Computing Influence.
Int. J. High Perform. Comput. Appl., 1993

1991
Optimal Matrix Transposition and Bit Reversal on Hypercubes: All-to-All Personalized Communication.
J. Parallel Distributed Comput., 1991

1990
An optional hypercube direct <i>N</i>-body solver on the connection machine.
Proceedings of the Proceedings Supercomputing '90, New York, NY, USA, November 12-16, 1990, 1990


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