# A Rank-Preserving Generalized Matrix Inverse for Consistency With Respect to Similarity

@article{Uhlmann2019ARG,
title={A Rank-Preserving Generalized Matrix Inverse for Consistency With Respect to Similarity},
author={J. Uhlmann},
journal={IEEE Control Systems Letters},
year={2019},
volume={3},
pages={91-95}
}
• J. Uhlmann
• Published 2019
• Mathematics, Computer Science
• IEEE Control Systems Letters
There has recently been renewed recognition of the need to understand the consistency properties that must be preserved when a generalized matrix inverse is required. The most widely known generalized inverse, the Moore–Penrose pseudoinverse, provides consistency with respect to orthonormal transformations (e.g., rotations of a coordinate frame), and a recently derived inverse provides consistency with respect to diagonal transformations (e.g., a change of units on state variables). Another… Expand

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