A further algebraic version of Cochran's theorem and matrix partial orderings
- Resource Type
- Authors
- Jan Hauke; Jerzy K. Baksalary
- Source
- Linear Algebra and its Applications. :157-169
- Subject
- Discrete mathematics
Numerical Analysis
Matrix (mathematics)
Algebra and Number Theory
Discrete Mathematics and Combinatorics
Geometry and Topology
Algebraic number
Partially ordered set
Hermitian matrix
Cochran's theorem
Mathematics
- Language
- English
- ISSN
- 0024-3795
A new version of Cochran's theorem for rectangular matrices is established. Being oriented toward partial isometries, the new version parallels corresponding results concerned with arbitrary tripotent matrices and covers results concerned with Hermitian tripotent matrices. A discussion of a related new matrix partial ordering is also given.