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Relationships between partial orders of matrices and their powers
- Source :
-
Linear Algebra & its Applications . Mar2004, Vol. 379, p277. 11p. - Publication Year :
- 2004
-
Abstract
- Baksalary and Pukelsheim [Linear Algebra Appl. 151 (1991) 135] considered the problem of how an order between two Hermitian nonnegative definite matrices <f>A</f> and <f>B</f> is related to the corresponding order between the squares <f>A2</f> and <f>B2</f>, in the sense of the star partial ordering, the minus partial ordering, and the Lo¨wner partial ordering. In the present paper, possibilities of generalizing and strengthening their results are studied from two points of view: by widening the class of matrices considered and by replacing the squares by arbitrary powers. [Copyright &y& Elsevier]
- Subjects :
- *MATRICES (Mathematics)
*LEAST squares
*HERMITIAN forms
*LINEAR algebra
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 379
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 12148570
- Full Text :
- https://doi.org/10.1016/S0024-3795(03)00535-4