Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi !

Resolvent estimates and eigenvalue decay of solutions to Lyapunov operator equations (CROSBI ID 616915)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Grubišić, Luka ; Kressner, Daniel Resolvent estimates and eigenvalue decay of solutions to Lyapunov operator equations. 2014. str. 1-1

Podaci o odgovornosti

Grubišić, Luka ; Kressner, Daniel

engleski

Resolvent estimates and eigenvalue decay of solutions to Lyapunov operator equations

We analyze the eigenvalue decay of the solution to operator Lyapunov equations with right-hand sides of finite rank. We show that the k-th eigenvalue decays exponentially in sqrt(k), provided that the involved operator A generates an exponentially stable continuous semigroup, and A is either self-adjoint or a scalar type operator. We present an analysis in a scale of Hilbert spaces and allow for right hand sides which are themselves unbounded but are of finite rank in a relative sense. We present numerical experiments to assess the sharpness of the estimates on the rate of the eigenvalue decay.

Balanced truncation ; Exponential decay ; Lyapunov equation

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o prilogu

1-1.

2014.

objavljeno

Podaci o matičnoj publikaciji

Podaci o skupu

Pseudospectra of operators: spectral singularities, semiclassics, pencils and random matrices

pozvano predavanje

15.09.2014-20.09.2014

Edinburgh, Ujedinjeno Kraljevstvo

Povezanost rada

Matematika