Non-reproductive and reproductive solutions of some matrix equations
Branko J. Malesevic, Biljana M. Radicic
TL;DR
This paper investigates solutions to complex matrix equations involving pseudoinverses, demonstrating that Penrose's general solution for AXB=C is a reproductive solution, thereby clarifying the structure of solutions.
Contribution
The paper reveals that Penrose's general solution for AXB=C is a reproductive solution, providing new insights into the solution structure of matrix equations involving pseudoinverses.
Findings
Penrose's solution is a reproductive solution.
Analysis of solutions related to pseudoinverses.
Clarification of reproductive solutions in matrix equations.
Abstract
In this paper we analyzed solutions of some complex matrix equations related to pseudoinverses using the concept of reproductivity. Especially for matrix equation AXB=C it is shown that Penrose's general solution is actually the case of the reproductive solution.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMatrix Theory and Algorithms · Mathematics and Applications · Advanced Mathematical Theories and Applications