Naslov
Complex Falk‐Langemeyer Method

Autori
Hari, Vjeran

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, kratko priopćenje, znanstveni

Izvornik
Proceedings in Applied Mathematics and Mechanics / - : John Wiley & Sons, 2018

Skup
89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2018)

Mjesto i datum
München, Njemačka, 19.03.2018. - 23.03.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
generalized eigenvalue problem, complex Hermitian matrices, definite matrix pair, diagonalization method

Sažetak
The known Falk-Langemeyer method for the simultaneous diagonalization of two positive definite symmetric matrices is generalized to work with complex matrices. It is shown that the derived method is well defined for the Hermitian matrices which make a definite pair. Special attention is paid to the stability of the formulas for the computational parameters when the pivot submatrices are close to being proportional. Numerical tests indicate the high relative accuracy of the method provided that both matrices are definite and well-behaved, i.e. if they can be well-scaled symmetrically

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
U online izdanju, brojevi rada idu prema sekcijama na GAMM konferenciji, a to je S17.

POVEZANOST RADA