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

Sparsity of a matrix and its inverse

May 19, 2026, 4:35 PM

25m

Goodwin Hall 135 (Virginia Tech)

Minisymposium Talk Combinatorial Matrix Theory Combinatorial Matrix Theory

Speaker

Bryan Shader (University of Wyoming)

Description

This talk discusses problem of determining the minumum number of nonzero entries in a pair of matrices (A,A^(-1)) for A in various families of matrices (e.g. irreducible, fully indecomposable, primitive, positive definite, orthogonal, symmetric with connected graph, irreducible covariance matrices). Some of the results are from work with H. Gupta, L. Hogben and T. Wong.