Speaker
Caleb Cheung
(University of Wyoming)
Description
Let $A$ be an $m \times n$ matrix. The spoiler space of $A$ is the set of all $m\times n$ matrices $X$ such that, $XA^\top$ is symmetric, $A^\top X$ is symmetric, and $X\circ A = O$, where "$\circ$" denotes the entrywise Schur product. If the spoiler space of $A$ contains only the 0 matrix, we say that $A$ has the Strong Singular Value Property (SSVP). The SSVP gives us access to a rich toolset for resolving inverse singular value problems. In this talk, we will discuss results pertaining to the spoiler space, its orthogonal complement, the tangent space, as well as the singular value multiplicity lists of various matrices and how they are connected.
Authors
Bryan Shader
(University of Wyoming)
Caleb Cheung
(University of Wyoming)