Partial orderings, preorderings, and the polar decomposition of matrices
✍ Scribed by Ju¨rgen Groβ; Jan Hauke; Augustyn Markiewicz
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 958 KB
- Volume
- 289
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
InAm+Am-l~m-l+ +AIA+A0 be an n xn monic matrix polynomial, and let CL be the correspondmg block compamon matrLx In this note, we extend a known result on scalar polynomials to obtain a formula for the polar decomposition of CL when the matrmes A0 and ~-~=~1 A3A; are nonsmgular
We describe the structure of nonnegative matrices dominated by a nonnegative idempotent matrix under the minus order. 0
In this note we revisit the sharp partial order introduced by Mitra [S.K. Mitra, On group inverses and the sharp order, Linear Algebra Appl. 92 (1987) 17-37]. We recall some already known facts from certain matrix decompositions and derive new statements, relating our discussion to recent results in