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Pregled bibliografske jedinice broj: 1217271

A simplex algorithm for rational cp-factorization


Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
A simplex algorithm for rational cp-factorization // Mathematical programming, 187 (2021), 1-2; 25-45 doi:10.1007/s10107-020-01467-4 (međunarodna recenzija, članak, znanstveni)


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Naslov
A simplex algorithm for rational cp-factorization

Autori
Dutour Sikirić, Mathieu ; Schürmann, Achill ; Vallentin, Frank

Izvornik
Mathematical programming (0025-5610) 187 (2021), 1-2; 25-45

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

Ključne riječi
Copositive programming ; Complete positivity ; Matrix factorization ; Copositive minimum

Sažetak
In this paper we provide an algorithm, similar to the simplex algorithm, which determines a rational cp-factorization of a given matrix, whenever the matrix allows such a factorization. This algorithm can be used to show that every integral completely positive 2×2 matrix has an integral cp-factorization.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Institut "Ruđer Bošković", Zagreb

Profili:

Avatar Url Mathieu Dutour Sikirić (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank
A simplex algorithm for rational cp-factorization // Mathematical programming, 187 (2021), 1-2; 25-45 doi:10.1007/s10107-020-01467-4 (međunarodna recenzija, članak, znanstveni)
Dutour Sikirić, M., Schürmann, A. & Vallentin, F. (2021) A simplex algorithm for rational cp-factorization. Mathematical programming, 187 (1-2), 25-45 doi:10.1007/s10107-020-01467-4.
@article{article, author = {Dutour Sikiri\'{c}, Mathieu and Sch\"{u}rmann, Achill and Vallentin, Frank}, year = {2021}, pages = {25-45}, DOI = {10.1007/s10107-020-01467-4}, keywords = {Copositive programming, Complete positivity, Matrix factorization, Copositive minimum}, journal = {Mathematical programming}, doi = {10.1007/s10107-020-01467-4}, volume = {187}, number = {1-2}, issn = {0025-5610}, title = {A simplex algorithm for rational cp-factorization}, keyword = {Copositive programming, Complete positivity, Matrix factorization, Copositive minimum} }
@article{article, author = {Dutour Sikiri\'{c}, Mathieu and Sch\"{u}rmann, Achill and Vallentin, Frank}, year = {2021}, pages = {25-45}, DOI = {10.1007/s10107-020-01467-4}, keywords = {Copositive programming, Complete positivity, Matrix factorization, Copositive minimum}, journal = {Mathematical programming}, doi = {10.1007/s10107-020-01467-4}, volume = {187}, number = {1-2}, issn = {0025-5610}, title = {A simplex algorithm for rational cp-factorization}, keyword = {Copositive programming, Complete positivity, Matrix factorization, Copositive minimum} }

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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