# JMM 2023 Special Session: Perspectives on Eigenvalue Computation
The official schedule is posted at https://www.jointmathematicsmeetings.org/meetings/national/jmm2023/2270_program_ss94.html#title
The Zoom link for virtual attendance/virtual talks is:
https://berkeley.zoom.us/j/94982941411?pwd=RWRXeVdoZUNVTmdqK1FIMksrZFllZz09
## Friday, January 6 (101 Hynes Convention Center)
1-2pm: Matt Colbrook, *The foundations of infinite-dimensional spectral computations* (Zoom)
2-3pm: Josué Tonelli-Cueto, *Condition-based Low-Degree Approximation of Real Polynomial Systems*
3-4pm: **Open Problem Session**
4-5pm: "Discussion 1": Santosh Vempala, *Eigenvalue Computation and Roots of Blackbox Polynomials* (abstract below)
We give a simple algorithm and analysis for finding the largest root of a real-rooted polynomial, where one can only query the value of the polynomial at desired inputs. We show that an "accelerated" Newton iteration needs only O(log n log(1/\epsilon)) queries to approximate the larges root of a degree n polynomial within additive error \epsilon. This implies a nearly matrix multiplication complexity algorithm for computing the largest eigenvalue of an (explicit) symmetric matrix to within additive error \epsilon, which, as far as we know, remains the state-of-the-art.
(Joint work with Anand Louis).
## Saturday, January 7 (102 Hynes Convention Center)
1-2pm: Agnieszka Miedlar, *Challenges for Eigenvalue Computations in Breakthrough Applications* (Zoom)
2-3pm: Lin Lin, *Quantum algorithms for eigenvalue problems*
3-4pm: break
4-5pm: Daniel Kressner, *Randomized joint diagonalization*
5-6pm: Jorge Garza Vargas, *Global Convergence of the Hessenberg Shifted QR Algorithm*