Minimizer extraction in polynomial optimization is robust

Klep, Igor (author), Povh, Janez (author), Volčič, Jurij (author)

• Language: English
• Keywords: polynomial optimization, sum of squares, semidefinite programming, moment problem, Hankel matrix, flat extension, GNS construction, noncommutative polynomial, trace
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2018
• Number of pages: Str. 3177-3207
• Numbering: Vol. 28, no. 4
• PID: 20.500.12556/RUL-105797
• UDC: 519.85(045)
• ISSN on article: 1052-6234
• DOI: 10.1137/17M1152061
• COBISS.SI-ID: 16398875
• Publication date in RUL: 17.12.2018

Secondary language

• Language: Slovenian
• Keywords: polinomska optimizacija, vsote kvadratov, semidefinitno programiranje, problem momentov, Hankelova matrika, ploščata razširitev, GNS konstrukcija, nekomutativni polinomi, sled

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: J1-8132, P1-0222
• Name: Pozitivne preslikave in realna algebrična geometrija, Algebra v teoriji operatorjev in finančna matematika
• Acronym: BiqBin