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Pregled bibliografske jedinice broj: 463264

A note on shifted Hessenberg systems and frequency response computation


Beattie, Christopher; Drmač, Zlatko; Gugercin, Serkan
A note on shifted Hessenberg systems and frequency response computation // Acm transactions on mathematical software, 38 (2011), 2; 12-1 doi:10.1145/2049673.2049676 (međunarodna recenzija, članak, znanstveni)


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Naslov
A note on shifted Hessenberg systems and frequency response computation

Autori
Beattie, Christopher ; Drmač, Zlatko ; Gugercin, Serkan

Izvornik
Acm transactions on mathematical software (0098-3500) 38 (2011), 2; 12-1

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

Ključne riječi
Computer aided control system design ; control theory ; controller Hessenberg form ; frequency response ; shifted linear systems

Sažetak
IIn this article, we propose a numerical algorithm for efficient and robust solution of a sequence of shifted Hessenberg linear systems. In particular, we show how the frequency response G(sigma) = d - C(A - sigma I)(-1)b in the single input case can be computed more efficiently than with other state-of-the-art methods. We also provide a backward stability analysis of the proposed algorithm.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037-0372783-2750 - Spektralne dekompozicije - numericke metode i primjene (Drmač, Zlatko, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Zlatko Drmač (autor)

Poveznice na cjeloviti tekst rada:

doi dl.acm.org

Citiraj ovu publikaciju:

Beattie, Christopher; Drmač, Zlatko; Gugercin, Serkan
A note on shifted Hessenberg systems and frequency response computation // Acm transactions on mathematical software, 38 (2011), 2; 12-1 doi:10.1145/2049673.2049676 (međunarodna recenzija, članak, znanstveni)
Beattie, C., Drmač, Z. & Gugercin, S. (2011) A note on shifted Hessenberg systems and frequency response computation. Acm transactions on mathematical software, 38 (2), 12-1 doi:10.1145/2049673.2049676.
@article{article, author = {Beattie, Christopher and Drma\v{c}, Zlatko and Gugercin, Serkan}, year = {2011}, pages = {12-1-12-16}, DOI = {10.1145/2049673.2049676}, keywords = {Computer aided control system design, control theory, controller Hessenberg form, frequency response, shifted linear systems}, journal = {Acm transactions on mathematical software}, doi = {10.1145/2049673.2049676}, volume = {38}, number = {2}, issn = {0098-3500}, title = {A note on shifted Hessenberg systems and frequency response computation}, keyword = {Computer aided control system design, control theory, controller Hessenberg form, frequency response, shifted linear systems} }
@article{article, author = {Beattie, Christopher and Drma\v{c}, Zlatko and Gugercin, Serkan}, year = {2011}, pages = {12-1-12-16}, DOI = {10.1145/2049673.2049676}, keywords = {Computer aided control system design, control theory, controller Hessenberg form, frequency response, shifted linear systems}, journal = {Acm transactions on mathematical software}, doi = {10.1145/2049673.2049676}, volume = {38}, number = {2}, issn = {0098-3500}, title = {A note on shifted Hessenberg systems and frequency response computation}, keyword = {Computer aided control system design, control theory, controller Hessenberg form, frequency response, shifted linear systems} }

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


Citati:





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