Section: New Results

Arbitrary-precision ball arithmetic

Participant : Fredrik Johansson.

During the year, F. Johansson has released three new versions (2.10, 2.11 and 2.12) of the Arb software for arbitrary-precision ball arithmetic.

The paper [11] describing Arb has been published in the IEEE Transactions on Computers and was selected as the best paper of this journal's Special Issue on Computer Arithmetic. As a result, a video presentation was featured on the journal's website and Johansson was invited to present the paper in a special session at the 24th IEEE Symposium on Computer Arithmetic (ARITH24) at Imperial College London, UK.

In [21], Johansson describes the first complete algorithm for computing the Lambert W function rigorously in complex ball arithmetic.