DMS Algebra/Linear Algebra Seminar

Speaker:  Wei Gao

Title:  Inertia sets allowed or required by matrix patterns

Abstract:  A sign pattern matrix is a matrix whose entries come from the set \({+, -, 0}\). A zero-nonzero pattern matrix is a matrix with entries from \({*,0}\), where \(*\) is nonzero.  Motivated by the possible onset of instability in dynamical systems, sign patterns and zero-nonzero patterns that allow or require some special sets of inertias and refined inertias are discussed in some papers. In this talk, some known results and techniques will be shown.