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math.DG2024
Geometric Approaches to Matrix Normalization and Graph Balancing
Tom Needham, Clayton Shonkwiler
Normal matrices, or matrices which commute with their adjoints, are of fundamental importance in pure and applied mathematics. In this paper, we study a natural functional on the s…
math.DG2023★ 1 cited
On the existence of Parseval frames for vector bundles
Samuel A. Ballas, Tom Needham, Clayton Shonkwiler
Frames in finite-dimensional vector spaces are spanning sets of vectors which provide redundant representations of signals. The Parseval frames are particularly useful and importan…