4 citations · 6 across the 2 of their papers we have counts for
3 papers
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…
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…
Steiner equiangular tight frames
Matthew Fickus, Dustin G. Mixon, Janet C. Tremain
We provide a new method for constructing equiangular tight frames (ETFs). The construction is valid in both the real and complex settings, and shows that many of the few previously…