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Pregled bibliografske jedinice broj: 364485

Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts

Truhar, Ninoslav; Tomljanović, Zoran; Li, Ren-Cang
Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts // Systems & control letters, 59 (2010), 3/4; 248-257 doi:10.1016/j.sysconle.2010.02.002 (međunarodna recenzija, članak, znanstveni)

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Naslov
Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts

Autori
Truhar, Ninoslav ; Tomljanović, Zoran ; Li, Ren-Cang

Izvornik
Systems & control letters (0167-6911) 59 (2010), 3/4; 248-257

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Sylvester equation; Low-rank Alternating-Directional-Implicit (LR-ADI) method; Upper bounds; Perturbation bounds

Sažetak
The solution to a general Sylvester equation AX− XB = GF* with a low rank righthand side is analyzed quantitatively through Low-rank Alternating-Directional- Implicit method (LR-ADI) with exact shifts. New bounds and perturbation bounds on X are obtained. A distinguished feature of these bounds is that they reflect the interplay between the eigenvalue decompositions of A and B and the right-hand side factors G and F. Numerical examples suggest that because of this inclusion of details, new perturbation bounds are much sharper than the existing ones.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
235-2352818-1042 - Pasivna kontrola mehaničkih modela (Truhar, Ninoslav, MZOS ) ( CroRIS)

Ustanove:
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Zoran Tomljanović (autor)

Avatar Url Ninoslav Truhar (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com www.sciencedirect.com

Citiraj ovu publikaciju:

Truhar, Ninoslav; Tomljanović, Zoran; Li, Ren-Cang
Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts // Systems & control letters, 59 (2010), 3/4; 248-257 doi:10.1016/j.sysconle.2010.02.002 (međunarodna recenzija, članak, znanstveni)
Truhar, N., Tomljanović, Z. & Li, R. (2010) Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts. Systems & control letters, 59 (3/4), 248-257 doi:10.1016/j.sysconle.2010.02.002.
@article{article, author = {Truhar, Ninoslav and Tomljanovi\'{c}, Zoran and Li, Ren-Cang}, year = {2010}, pages = {248-257}, DOI = {10.1016/j.sysconle.2010.02.002}, keywords = {Sylvester equation, Low-rank Alternating-Directional-Implicit (LR-ADI) method, Upper bounds, Perturbation bounds}, journal = {Systems and control letters}, doi = {10.1016/j.sysconle.2010.02.002}, volume = {59}, number = {3/4}, issn = {0167-6911}, title = {Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts}, keyword = {Sylvester equation, Low-rank Alternating-Directional-Implicit (LR-ADI) method, Upper bounds, Perturbation bounds} }
@article{article, author = {Truhar, Ninoslav and Tomljanovi\'{c}, Zoran and Li, Ren-Cang}, year = {2010}, pages = {248-257}, DOI = {10.1016/j.sysconle.2010.02.002}, keywords = {Sylvester equation, Low-rank Alternating-Directional-Implicit (LR-ADI) method, Upper bounds, Perturbation bounds}, journal = {Systems and control letters}, doi = {10.1016/j.sysconle.2010.02.002}, volume = {59}, number = {3/4}, issn = {0167-6911}, title = {Analysis of the solution of the Sylvester equation using low-rank ADI with exact shifts}, keyword = {Sylvester equation, Low-rank Alternating-Directional-Implicit (LR-ADI) method, Upper bounds, Perturbation bounds} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • Zentrallblatt für Mathematik/Mathematical Abstracts

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