36 citations · 38 across the 2 of their papers we have counts for
4 papers
A generalized Schur-Horn theorem and optimal frame completions
Matthew Fickus, Justin Marks, Miriam J. Poteet
The Schur-Horn theorem is a classical result in matrix analysis which characterizes the existence of positive semidefinite matrices with a given diagonal and spectrum. In recent ye…
Constructing all self-adjoint matrices with prescribed spectrum and diagonal
Matthew Fickus, Dustin G. Mixon, Miriam J. Poteet +1
The Schur-Horn Theorem states that there exists a self-adjoint matrix with a given spectrum and diagonal if and only if the spectrum majorizes the diagonal. Though the original pro…
Frame completions for optimally robust reconstruction
Matthew Fickus, Dustin G. Mixon, Miriam J. Poteet
In information fusion, one is often confronted with the following problem: given a preexisting set of measurements about an unknown quantity, what new measurements should one colle…
Constructing finite frames of a given spectrum and set of lengths
Jameson Cahill, Matthew Fickus, Dustin G. Mixon +2
When constructing finite frames for a given application, the most important consideration is the spectrum of the frame operator. Indeed, the minimum and maximum eigenvalues of the…