13 citations · 77 across the 21 of their papers we have counts for
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math.FA2021★ 4 cited
Toric Symplectic Geometry and Full Spark Frames
Tom Needham, Clayton Shonkwiler
The collection of complex matrices with prescribed column norms and prescribed (nonzero) singular values forms a compact algebraic variety, which we refer to as a fram…
math.FA2021★ 7 cited
Admissibility and Frame Homotopy for Quaternionic Frames
Tom Needham, Clayton Shonkwiler
We consider the following questions: when do there exist quaternionic frames with given frame spectrum and given frame vector norms? When such frames exist, is it always possible t…