Pregled bibliografske jedinice broj: 5068
Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities with some statistical applications
Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities with some statistical applications // Linear Algebra and its Applications, 237 (1996), 455-476 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 5068 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities with some statistical applications
Autori
Pečarić, Josip ; Puntanen, Simo ; Styan, George P. H.
Izvornik
Linear Algebra and its Applications (0024-3795) 237
(1996);
455-476
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Cauchy-Schwarz inequality; Kantorovich inequality; matrix
Sažetak
The well-known Cauchy-Schwarz and Kantorovich inequalities may be expressed in terms of vectors and a positive definite matrix. We consider what happens to these inequalities when the vectors are replaced by matrices, the positive definite matrix is allowed to be positive semidefinite singular, and the usual inequalities are replaced by Lowner partial orderings. Some examples in the context of linear statistical models are presented.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
