Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials-Reference-Cited by-同舟云学术

Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials

Published:2012-10-25 Issue:1 Volume:55 Page:137-153
ISSN:0926-6003
Container-title:Computational Optimization and Applications
language:en
Short-container-title:Comput Optim Appl

Author:

Burgdorf Sabine,Cafuta Kristijan,Klep Igor,Povh Janez

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/s10589-012-9513-8.pdf

Reference29 articles.

1. Burgdorf, S., Cafuta, K., Klep, I., Povh, J.: The tracial moment problem and trace-optimization of polynomials. Math. Program. (2012). doi: 10.1007/s10107-011-0505-8 . http://www.optimization-online.org/DB_HTML/2010/04/2595.html

2. Bessis, D., Moussa, P., Villani, M.: Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics. J. Math. Phys. 16(11), 2318–2325 (1975)

3. Cafuta, K., Klep, I., Povh, J.: NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials. Optim. Methods Softw. 26(3), 363–380 (2011). http://ncsostools.fis.unm.si/

4. Proc. Sympos. Pure Math.;M.D. Choi,1995

5. Connes, A.: Classification of injective factors. Cases II1, II∞, III λ , λ≠1. Ann. Math. 104, 73–115 (1976)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Noncommutative Polynomial Optimization;Encyclopedia of Optimization;2022-11-11

2. Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools;Central European Journal of Operations Research;2018-03-13