The Bott-Duffin drazin inverse and its application
Rings and Algebras
2025-06-23 v1
Abstract
The paper introduce a new type of generalized inverse, called Bott-Duffin drazin inverse (or, in short, BDD-inverse) of a complex square matrix, and give some of its properties, characterizations and representations. Furthermore, We discuss the problem of the minimum P-norm solution of the constraint matrix equation by using the Bott-Duffin drazin inverse, and give Cramer s rule for this minimum P-norm solution.
Keywords
Cite
@article{arxiv.2506.16018,
title = {The Bott-Duffin drazin inverse and its application},
author = {Lu Zheng and Xiangyu Zhang and Kezheng Zuo and Jing Zhou},
journal= {arXiv preprint arXiv:2506.16018},
year = {2025}
}