PSelInv—A Distributed Memory Parallel Algorithm for Selected Inversion

A nested dissection approach to modeling transport in nanodevices: Algorithms and applications

(2013) U. Hetmaniuk et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A fast algorithm for sparse matrix computations related to inversion

(2013) S. Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Accelerating atomic orbital-based electronic structure calculation via pole expansion and selected inversion

(2013) Lin Lin et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Finding off-diagonal entries of the inverse of a large symmetric sparse matrix

(2012) Shawn Eastwood et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

On Computing Inverse Entries of a Sparse Matrix in an Out-of-Core Environment

(2012) Patrick R. Amestoy et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix

(2011) Lin Lin et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

The university of Florida sparse matrix collection

(2011) Timothy A. Davis et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Extension and optimization of the FIND algorithm: Computing Green’s and less-than Green’s functions

(2011) S. Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation

(2011) Lin Lin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A two-dimensional domain decomposition technique for the simulation of quantum-scale devices

(2011) Stephen Cauley et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A probing method for computing the diagonal of a matrix inverse

(2011) Jok M. Tang et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations

(2011) Lin Lin et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

ScaLAPACK's MRRR algorithm

(2010) Christof Vömel   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Rational approximation to the Fermi–Dirac function with applications in density functional theory

(2010) Roger B. Sidje et al.   NUMERICAL ALGORITHMS

Pole-Based approximation of the Fermi-Dirac function

(2009) Lin Lin et al.   CHINESE ANNALS OF MATHEMATICS SERIES B

A hybrid method for the parallel computation of Green’s functions

(2009) Dan Erik Petersen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Computing entries of the inverse of a sparse matrix using the FIND algorithm

(2008) S. Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

PT-Scotch: A tool for efficient parallel graph ordering

(2007) C. Chevalier et al.   PARALLEL COMPUTING