2025/06/19 by Zheng, Lu, Zhang, Xiangyu, Zuo, Kezheng +1
Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #Stability and Control of Uncertain Systems
paper · pdf · doi:10.48550/arxiv.2506.16018
openalex publication_date 2025/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.