Further results for the dual Hartwig-Spindelb{ö}ck decomposition and its applications
Abstract
In this paper, we introduce two new forms of the dual Hartwig-Spindelb{ö}ck decomposition and employ them to derive explicit representations for several classes of dual generalized inverses. Building on these representations, we further explore and characterize the relationships and properties of these inverses, investigate the dual composite generalized inverses, and verify the applicability of dual partial orders. The proposed decomposition provides a systematic and convenient framework for the study of dual matrices.
Fields of Study & Subjects
Matrix Theory and Algorithms
Advanced Combinatorial Mathematics
Rings
Modules
and Algebras
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 8 January 2026
- Language
- EN
- Document type
- Preprint