Pregled bibliografske jedinice broj: 522369
The singular value decomposition and applications in Geodesy
The singular value decomposition and applications in Geodesy // Ekscentar : časopis studenata Geodetskog fakulteta Sveučilišta u Zagrebu, 13 (2010), 60-62 (podatak o recenziji nije dostupan, članak, stručni)
CROSBI ID: 522369 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The singular value decomposition and applications in Geodesy
Autori
Zadelj-Martić, Vida
Izvornik
Ekscentar : časopis studenata Geodetskog fakulteta Sveučilišta u Zagrebu (1331-4939) 13
(2010);
60-62
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, stručni
Ključne riječi
Singular value decomposition; Unitary matrices; Frobenius norm; Spectral norm; Pseudoinverse; Homogeneous system if linear equations; Least squares problem; Rank
(Singular value decoposition; Unitary matrices; Frobenius norm; Spectral norm; Pseudoinverse; Homogeneous system of linear equations; Least squares problem; Rank)
Sažetak
The paper considers the singular value decomposition (SVD) of a general matrix. Some immediate applications, such as determining the spectral and Frobenius norm, rank and pseudoinverse of the matrix are described. Applications also include approximating the given matrix by a matrix of a lower rank. It is also shown how to use SVD for solving the homogeneous linear system and least squares problem. The paper consists of three parts: 1.) The singular value decomposition, 2.) Some applications of the singular value decomposition, 3.) Applications in Geodesy
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Geodezija
POVEZANOST RADA
Projekti:
007-0071588-1593 - Kartografija Jadrana (Lapaine, Miljenko, MZOS ) ( CroRIS)
Ustanove:
Geodetski fakultet, Zagreb
Profili:
Vida Zadelj-Martić
(autor)
