Riley Murray

Contact:

I’m a staff scientist at Sandia National Laboratories working at the intersection of randomized numerical linear algebra, mathematical optimization, and quantum characterization, verification, and validation.

Before Sandia I was a postdoc at UC Berkeley and Lawrence Berkeley National Lab with Michael Mahoney and Jim Demmel. I did my PhD at Caltech with Venkat Chandrasekaran and Adam Wierman, and my undergrad in Industrial Engineering and Operations Research at UC Berkeley.

I’m queer — gender nonconforming and bi. My preferred pronouns in everyday life are he/him. If you catch me at conferences there’s a good chance I’ll be dressed fem or wearing makeup. Because that can be confusing to people (“wait– a he/him wearing a dress??”) my conference nametags tend to say “he/they.”

latest posts

selected publications

monograph

Randomized Numerical Linear Algebra: A Perspective on the Field With an Eye to Software

Riley Murray, J. Demmel, M. W. Mahoney, N. B. Erichson, M. Melnichenko, and 1 more author

arXiv preprint arXiv:2302.11474, 2023

arXiv Bib

@article{murray2023rnla,
  title = {Randomized Numerical Linear Algebra: A Perspective on the Field With an Eye to Software},
  author = {Murray, Riley and Demmel, J. and Mahoney, M. W. and Erichson, N. B. and Melnichenko, M. and others},
  journal = {arXiv preprint arXiv:2302.11474},
  year = {2023},
}

SIMAX

CholeskyQR with Randomization and Pivoting for Tall Matrices (CQRRPT)

M. Melnichenko, O. Balabanov, Riley Murray, J. Demmel, M. W. Mahoney, and 1 more author

SIAM Journal on Matrix Analysis and Applications, 2025

Bib

@article{melnichenko2025cqrrpt,
  title = {{CholeskyQR} with Randomization and Pivoting for Tall Matrices ({CQRRPT})},
  author = {Melnichenko, M. and Balabanov, O. and Murray, Riley and Demmel, J. and Mahoney, M. W. and others},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  volume = {46},
  number = {3},
  pages = {1701--1734},
  year = {2025},
}

PhD thesis

Applications of Convex Analysis to Signomial and Polynomial Nonnegativity Problems

Riley Murray

California Institute of Technology, 2021

Bib

@phdthesis{murray2021phdthesis,
  title = {Applications of Convex Analysis to Signomial and Polynomial Nonnegativity Problems},
  author = {Murray, Riley},
  school = {California Institute of Technology},
  year = {2021},
}

arXiv

Anatomy of High-Performance Column-Pivoted QR Decomposition

M. Melnichenko, Riley Murray, W. Killian, J. Demmel, M. W. Mahoney, and 1 more author

arXiv preprint arXiv:2507.00976, 2025

arXiv Bib

@article{melnichenko2025anatomy,
  title = {Anatomy of High-Performance Column-Pivoted {QR} Decomposition},
  author = {Melnichenko, M. and Murray, Riley and Killian, W. and Demmel, J. and Mahoney, M. W. and others},
  journal = {arXiv preprint arXiv:2507.00976},
  year = {2025},
}