Scalable Approximate Selected Inversion Based on Single-Level Incomplete $LD{L}^T$ Factorization and Spectral Corrections for Large Sparse Systems

Tahamina Akter, Matthias Bollhöfer, Olaf Schenk

This article introduces four parallel numerical techniques for computing entries of the inverse of large sparse symmetric systems, all grounded in incomplete $LD{L}^T$ (ILDL) factori…