27th Conference of the International Linear Algebra Society (ILAS 2026)

From SCF to LOBPCG: Accelerated Solvers for Nonlinear Eigenvector Problems

May 18, 2026, 5:00 PM

25m

Torgersen Hall 1040 (Virginia Tech)

Minisymposium Talk Advances and Challenges in Eigensolvers Advances and Challenges in Eigensolvers

Speaker

Agnieszka Miedlar (Virginia Tech)

Description

This talk surveys modern iterative algorithms for solving large-scale nonlinear eigenvector problems, with a focus on both foundational methods and recent advances in nonlinear acceleration techniques. We examine SCF, FEAST, BPSD, and the LOBPCG eigenvector problems solvers, highlighting their theoretical foundations, practical performance, and applications. Through comparisons and illustrative examples, the talk provides a unified perspective and guidance for selecting and tuning solvers in practice.