ACM Transactions on Mathematical Software
DisciplineMathematical software
Edited byZhaojun Bai and Wolfgang Bangerth
Publication details
Standard abbreviations
ISO 4ACM Trans. Math. Softw.
MathSciNetACM Trans. Math. Software
ISSN0098-3500 (print)
1557-7295 (web)

ACM Transactions on Mathematical Software (TOMS) is a quarterly scientific journal that aims to disseminate the latest findings of note in the field of numeric, symbolic, algebraic, and geometric computing applications. It is one of the oldest scientific journals specifically dedicated to mathematical algorithms and their implementation in software, and has been published since March 1975 by the Association for Computing Machinery (ACM).

The journal is described as follows on the TOMS Homepage of the ACM Digital Library page:

ACM Transactions on Mathematical Software (TOMS) documents the theoretical underpinnings of numeric, symbolic, algebraic, and geometric computing applications. It focuses on analysis and construction of algorithms and programs, and the interaction of programs and architecture. Algorithms documented in TOMS are available as the Collected Algorithms of the ACM at

The purpose of the journal was laid out by its founding editor, John Rice, in the inaugural issue.[1] The decision to found the journal came out of the 1970 Mathematical Software Symposium at Purdue University, also organized by Rice, who then negotiated with both SIAM and the ACM regarding its publication.[2]

The journal publishes two kinds of articles: Regular research papers that advance the development of algorithms and software for mathematical computing, and "algorithms papers" that describe a specific implementation of an algorithm and that are accompanied by the source code for this algorithm. Algorithms described in the transactions are generally published in the Collected Algorithms of the ACM (CALGO).[3][4] Algorithms published since 1975 (and some earlier ones) are all still available.

Software that accompanies algorithm papers is accessible by anyone via the CALGO website.[5]


  1. ^ "Inaugural issue". Retrieved January 17, 2021.
  2. ^ Boisvert, Ronald F. (2000). "Mathematical software: past, present, and future". Mathematics and Computers in Simulation. 54 (4–5): 227–241. arXiv:cs/0004004. Bibcode:2000cs........4004B. doi:10.1016/S0378-4754(00)00185-3. S2CID 15157725.
  3. ^ "Collected Algorithms of the ACM". Retrieved January 17, 2021.
  4. ^ "TOMS Algorithms Policy". Retrieved January 17, 2021.
  5. ^ "ACM Collected Algorithms". Retrieved February 19, 2021.