パーマネント (数学) (Japanese Wikipedia)

Analysis of information sources in references of the Wikipedia article "パーマネント (数学)" in Japanese language version.

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ams.org

Gyires, B. (1980), “The common source of several inequalities concerning doubly stochastic matrices”, Publicationes Mathematicae Institutum Mathematicum Universitatis Debreceniensis 27 (3-4): 291–304, MR604006 .
Egoryčev, G. P. (1980) (Russian), Reshenie problemy van-der-Vardena dlya permanentov, Krasnoyarsk: Akad. Nauk SSSR Sibirsk. Otdel. Inst. Fiz., p. 12, MR602332 . Egorychev, G. P. (1981), “Proof of the van der Waerden conjecture for permanents” (Russian), Akademiya Nauk SSSR 22 (6): 65–71, 225, MR638007
Egorychev, G. P. (1981), “The solution of van der Waerden's problem for permanents”, Advances in Mathematics 42 (3): 299-305, doi:10.1016/0001-8708(81)90044-X, MR642395 .
Falikman, D. I. (1981), “Proof of the van der Waerden conjecture on the permanent of a doubly stochastic matrix” (Russian), Akademiya Nauk Soyuza SSR 29 (6): 931-938, 957, MR625097 .

Aaronson, Scott (14 November 2010). "The Computational Complexity of Linear Optics". arXiv:1011.3245。
Chakhmakhchyan, Levon; Cerf, Nicolas; Garcia-Patron, Raul (2017). “A quantum-inspired algorithm for estimating the permanent of positive semidefinite matrices”. Phys. Rev. A 96 (2): 022329. arXiv:1609.02416. Bibcode: 2017PhRvA..96b2329C. doi:10.1103/PhysRevA.96.022329.

Marcus, Marvin; Minc, Henryk (1965). “Permanents”. Amer. Math. Monthly 72: 577-591. doi:10.2307/2313846.
李磊、友田敏章、緑川章一、堀端孝俊「制限付き占有問題の簡単な計数公式」『日本応用数理学会論文誌』第7巻第4号、1997年、321-331頁、doi:10.11540/jsiamt.7.4_321。
Minc, Henryk (1963), “Upper bounds for permanents of (0,1)-matrices”, Bulletin of the American Mathematical Society 69: 789-791, doi:10.1090/s0002-9904-1963-11031-9
Egorychev, G. P. (1981), “The solution of van der Waerden's problem for permanents”, Advances in Mathematics 42 (3): 299-305, doi:10.1016/0001-8708(81)90044-X, MR642395 .
Jerrum, M.; Sinclair, A.; Vigoda, E. (2004), “A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries”, Journal of the ACM 51: 671-697, doi:10.1145/1008731.1008738
Chakhmakhchyan, Levon; Cerf, Nicolas; Garcia-Patron, Raul (2017). “A quantum-inspired algorithm for estimating the permanent of positive semidefinite matrices”. Phys. Rev. A 96 (2): 022329. arXiv:1609.02416. Bibcode: 2017PhRvA..96b2329C. doi:10.1103/PhysRevA.96.022329.

Chakhmakhchyan, Levon; Cerf, Nicolas; Garcia-Patron, Raul (2017). “A quantum-inspired algorithm for estimating the permanent of positive semidefinite matrices”. Phys. Rev. A 96 (2): 022329. arXiv:1609.02416. Bibcode: 2017PhRvA..96b2329C. doi:10.1103/PhysRevA.96.022329.