Cafuta, Kristijan Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools. (English) Zbl 07061310 CEJOR, Cent. Eur. J. Oper. Res. 27, No. 2, 397-413 (2019). MSC: 90Bxx 13J30 90C22 08B20 11E25 90C90 PDFBibTeX XMLCite \textit{K. Cafuta}, CEJOR, Cent. Eur. J. Oper. Res. 27, No. 2, 397--413 (2019; Zbl 07061310) Full Text: DOI
Cafuta, Kristijan On matrix algebras associated to sum-of-squares semidefinite programs. (English) Zbl 1284.13033 Linear Multilinear Algebra 61, No. 11, 1496-1509 (2013). Reviewer: Alexander Kovačec (Coimbra) MSC: 13J30 15B99 90C22 PDFBibTeX XMLCite \textit{K. Cafuta}, Linear Multilinear Algebra 61, No. 11, 1496--1509 (2013; Zbl 1284.13033) Full Text: DOI
Burgdorf, Sabine; Cafuta, Kristijan; Klep, Igor; Povh, Janez Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials. (English) Zbl 1273.90144 Comput. Optim. Appl. 55, No. 1, 137-153 (2013). MSC: 90C22 PDFBibTeX XMLCite \textit{S. Burgdorf} et al., Comput. Optim. Appl. 55, No. 1, 137--153 (2013; Zbl 1273.90144) Full Text: DOI
Burgdorf, Sabine; Cafuta, Kristijan; Klep, Igor; Povh, Janez The tracial moment problem and trace-optimization of polynomials. (English) Zbl 1274.90256 Math. Program. 137, No. 1-2 (A), 557-578 (2013). Reviewer: Torsten Bosse (Berlin) MSC: 90C22 13J30 47A57 08B20 PDFBibTeX XMLCite \textit{S. Burgdorf} et al., Math. Program. 137, No. 1--2 (A), 557--578 (2013; Zbl 1274.90256) Full Text: DOI
Cafuta, Kristijan; Klep, Igor; Povh, Janez NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials. (English) Zbl 1226.90063 Optim. Methods Softw. 26, No. 3, 363-380 (2011). MSC: 90C22 13J30 11E25 08B20 90C90 90-04 PDFBibTeX XMLCite \textit{K. Cafuta} et al., Optim. Methods Softw. 26, No. 3, 363--380 (2011; Zbl 1226.90063) Full Text: DOI
Cafuta, Kristijan; Klep, Igor; Povh, Janez A note on the nonexistence of sum of squares certificates for the Bessis-Moussa-Villani conjecture. (English) Zbl 1312.81139 J. Math. Phys. 51, No. 8, 083521, 10 p. (2010). MSC: 81V70 15B48 15A45 44A10 82B10 PDFBibTeX XMLCite \textit{K. Cafuta} et al., J. Math. Phys. 51, No. 8, 083521, 10 p. (2010; Zbl 1312.81139) Full Text: DOI