Abstract
Some general problems of Jacobian computations in non-full rank matrices are revised in this work. We prove that the Jacobian of the Moore–Penrose inverse derived via matrix differential calculus is incorrect. In addition, the Jacobian in the full rank case is derived under the simple and old theory of the exterior product.
Original language | English |
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Journal | Bulletin of the Iranian Mathematical Society |
DOIs | |
State | Accepted/In press - 1 Jan 2020 |
Keywords
- Generalised inverse
- Hausdorff measure
- Jacobian
- Lebesgue measure
- Matrix differentiation