Pregled bibliografske jedinice broj: 1030327
Optimal Solution Properties of an Overdetermined System of Linear Equations
Optimal Solution Properties of an Overdetermined System of Linear Equations // European Journal of Pure and Applied Mathematics, 12 (2019), 4; 1360-1370 doi:10.29020/nybg.ejpam.v12i4.3517 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1030327 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Optimal Solution Properties of an Overdetermined
System of Linear Equations
Autori
Novoselac, Vedran ; Pavić, Zlatko
Izvornik
European Journal of Pure and Applied Mathematics (1307-5543) 12
(2019), 4;
1360-1370
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Linear equations ; overdetermined systems ; equivariance
Sažetak
The paper considers the solution properties of an overdetermined system of linear equations in a given norm. The problem is observed as a minimization of the corresponding functional of the errors. Presenting the main results of $p$ norm it is shown that the functional is convex. Following the convex properties we examine minimization properties showing that the problem possesses regression, scale, and afne equivariant properties. As an example we illustrated the problem of nding the weighted mean and weighted median of the data.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Strojarski fakultet, Slavonski Brod,
Sveučilište J. J. Strossmayera u Osijeku
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Scopus
