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Fast solution methods for operator Lyapunov equations (CROSBI ID 698715)

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

Grubišić, Luka Fast solution methods for operator Lyapunov equations // Mathematical Challenge of Quantum Transport in Nanosystems / Popov, Igor (ur.). Sankt Peterburg: ITMO University, 2020. str. 25-25

Podaci o odgovornosti

Grubišić, Luka

engleski

Fast solution methods for operator Lyapunov equations

In this talk we present an adaptive solution method for finite element discretization of the Lyapunov equation. Our method is based on the extended Arnoldi algorithm of Simoncini and the auxiliary subspace error estimation technique for finite element discretization methods. We compare our solution to alternative solution methods for the Lyapunov equation such as QTT MKE method of Osledets.

Lyapunov operator equation, low rank methods

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Podaci o prilogu

25-25.

2020.

objavljeno

Podaci o matičnoj publikaciji

Mathematical Challenge of Quantum Transport in Nanosystems

Popov, Igor

Sankt Peterburg: ITMO University

Podaci o skupu

Mathematical Challenge of Quantum Transport in Nanosystems "Pierre Duclos Workshop"

pozvano predavanje

20.09.2020-22.09.2020

Sankt Peterburg, Ruska Federacija

Povezanost rada

Matematika