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math.NA2026
A Generalized Matrix Inverse that is Consistent with Respect to Diagonal Transformations
Jeffrey Uhlmann
A new generalized matrix inverse is derived which is consistent with respect to arbitrary nonsingular diagonal transformations, e.g., it preserves units associated with variables u…
math.NA2020
Canonical Tensor Scaling
Tung D. Nguyen, Jeffrey Uhlmann
In this paper we generalize the canonical positive scaling of rows and columns of a matrix to the scaling of selected-rank subtensors of an arbitrary tensor. We expect our results…