Pregled bibliografske jedinice broj: 1111404
Overdetermined systems of linear equations
Overdetermined systems of linear equations // Book of Abstracts of 3rd International Conference on Life and Engineering Sciences / Kanca, Fatma (ur.).
Istanbul: Fenerbahce University, 2020. str. 1-1 (plenarno, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Overdetermined systems of linear equations
Autori
Pavić, Zlatko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of Abstracts of 3rd International Conference on Life and Engineering Sciences
/ Kanca, Fatma - Istanbul : Fenerbahce University, 2020, 1-1
ISBN
978-625-409-854-3
Skup
3rd International Conference on Life and Engineering Sciences (ICOLES 2020)
Mjesto i datum
Istanbul, Turska, 11.12.2020. - 13.12.2020
Vrsta sudjelovanja
Plenarno
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
overdetermined system of linear equations, optimal solution, orthogonal projection, convexity
Sažetak
Optimization problems are very often used in engineering and life sciences. Overdetermined systems are a basic starting point in setting up and studying optimization problems. We will present here a brief overview of the theory of overdetermined systems of linear equations. The aim of this presentation is to investigate overdetermined systems of linear equations by using norms and inner products. Relying on the theory of projections, we examine the nature of the set of optimal solutions of the given overdetermined system. This review also provides a brief functional approach to the above problem by utilizing p-norms. In all of this, we strive to apply the elements of convex analysis as much as possible.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
