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Journal articles on the topic 'Permanents'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 January 2023

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1

Chen, Zhi, Jiawei Li, Lizhen Yang, Zelin Zhu, and Lei Cao. "Inequalities for permanents and permanental minors of row substochastic matrices." Electronic Journal of Linear Algebra 35 (December 22, 2019): 633–43. http://dx.doi.org/10.13001/ela.2019.5143.

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In this paper, some inequalities for permanents and permanental minors of row substochastic matrices are proved. The convexity of the permanent function on the interval between the identity matrix and an arbitrary row substochastic matrix is also proved. In addition, a conjecture about the permanent and permanental minors of square row substochastic matrices with fixed row and column sums is formulated.

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2

Sullivan, Francis, та Isabel Beichl. "Permanents, $$\alpha $$ α -permanents and Sinkhorn balancing". Computational Statistics 29, № 6 (2014): 1793–98. http://dx.doi.org/10.1007/s00180-014-0506-1.

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3

Minc, Henryk. "Permanental compounds and permanents of (0, 1)-circulants." Linear Algebra and its Applications 86 (February 1987): 11–42. http://dx.doi.org/10.1016/0024-3795(87)90285-0.

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4

Motley-Carcache, Marian. "Permanents and Transients." Appalachian Heritage 16, no. 1 (1988): 27–29. http://dx.doi.org/10.1353/aph.1988.0005.

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5

Feinsilver, Philip, and John McSorley. "Zeons, Permanents, the Johnson Scheme, and Generalized Derangements." International Journal of Combinatorics 2011 (June 2, 2011): 1–29. http://dx.doi.org/10.1155/2011/539030.

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Starting with the zero-square “zeon algebra,” the connection with permanents is shown. Permanents of submatrices of a linear combination of the identity matrix and all-ones matrix lead to moment polynomials with respect to the exponential distribution. A permanent trace formula analogous to MacMahon's master theorem is presented and applied. Connections with permutation groups acting on sets and the Johnson association scheme arise. The families of numbers appearing as matrix entries turn out to be related to interesting variations on derangements. These generalized derangements are considered

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6

Chen, Zhi, Jiawei Li, Lizhen Yang, Zelin Zhu, and Lei Cao. "Inequalities for permanents and permanental minors of row substochastic matrices." Electronic Journal of Linear Algebra 35, no. 1 (2019): 633–43. http://dx.doi.org/10.13001/1081-3810.4084.

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7

Moran, P. A. P. "SOME NOTES ON PERMANENTS." Australian Journal of Statistics 30A, no. 1 (1988): 17–20. http://dx.doi.org/10.1111/j.1467-842x.1988.tb00460.x.

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8

Botti, Phillip, Russel Merris, and Cheryl Vega. "Laplacian Permanents of Trees." SIAM Journal on Discrete Mathematics 5, no. 4 (1992): 460–66. http://dx.doi.org/10.1137/0405036.

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9

Cheon, Gi-Sang, Suk-Geun Hwang, Bryan L. Shader, and Seok-Zun Song. "Permanents of woven matrices." Linear Algebra and its Applications 364 (May 2003): 223–33. http://dx.doi.org/10.1016/s0024-3795(02)00566-9.

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10

Song, Seok-Zun. "A conjecture on permanents." Linear Algebra and its Applications 222 (June 1995): 91–95. http://dx.doi.org/10.1016/0024-3795(93)00286-9.

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11

Foregger, Thomas H. "Minimum permanents of multiplexes." Linear Algebra and its Applications 87 (March 1987): 197–211. http://dx.doi.org/10.1016/0024-3795(87)90167-4.

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12

Cerisuelo, Marc. "Les permanents du fantasme." Critique 795-796, no. 8 (2013): 674. http://dx.doi.org/10.3917/criti.795.0674.

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13

Servedio, Rocco A., and Andrew Wan. "Computing sparse permanents faster." Information Processing Letters 96, no. 3 (2005): 89–92. http://dx.doi.org/10.1016/j.ipl.2005.06.007.

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14

Gyires, Béla. "Discret distribution and permanents." Publicationes Mathematicae Debrecen 20, no. 1-2 (2022): 93–106. http://dx.doi.org/10.5486/pmd.1973.20.1-2.12.

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15

Udayan, Divya K., and Kanagasabapathi Somasundaram. "The Inequalities of Merris and Foregger for Permanents." Symmetry 13, no. 10 (2021): 1782. http://dx.doi.org/10.3390/sym13101782.

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Conjectures on permanents are well-known unsettled conjectures in linear algebra. Let A be an n×n matrix and Sn be the symmetric group on n element set. The permanent of A is defined as perA=∑σ∈Sn∏i=1naiσ(i). The Merris conjectured that for all n×n doubly stochastic matrices (denoted by Ωn), nperA≥min1≤i≤n∑j=1nperA(j|i), where A(j|i) denotes the matrix obtained from A by deleting the jth row and ith column. Foregger raised a question whether per(tJn+(1−t)A)≤perA for 0≤t≤nn−1 and for all A∈Ωn, where Jn is a doubly stochastic matrix with each entry 1n. The Merris conjecture is one of the well-kn

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16

Beauchamp, Claude. "Le permanent syndical de la Confédération des syndicats nationaux." Articles 8, no. 3 (2005): 319–49. http://dx.doi.org/10.7202/055374ar.

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Dans la société canadienne-française traditionnelle, le leadership était assez simple. Il était constitué du curé et des notables locaux, ordinairement le médecin et le notaire. Aujourd'hui, la situation est beaucoup plus complexe et les élites traditionnelles sont loin d'avoir le même pouvoir d'attraction. En milieu rural, elles ont perdu de l'influence au profit du gérant de la caisse populaire ou de l'instituteur, par exemple. Dans les milieux plus industrialisés, le syndicalisme a, lui aussi, favorisé chez nous l'émergence de nouvelles élites. Il n'est pas rare de voir le président d'un sy

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17

Pouliot, Daniel, and Jean-Jacques Frenette. "Development and Growth of Northern Leopard Frog, Lithobates pipiens, Tadpoles in North American Waterfowl Management Plan Permanent Basins and in Natural Wetlands." Canadian Field-Naturalist 124, no. 2 (2010): 159. http://dx.doi.org/10.22621/cfn.v124i2.1055.

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We monitored the development and growth of a cohort of Northern Leopard Frog (Lithobates pipiens) tadpoles, in one North American Waterfowl Management Plan (NAWMP) permanent basin and in one natural environment, a bay of the St. Lawrence River. We wanted to know if this kind of artificial wetland could be considered as suitable habitat for this declining species and compare the environment that was provided to the tadpoles to those found in natural conditions. We also measured metamorphs' snout-vent length at three different permanent basins and natural bays to verify if the results from the d

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18

Penrice, Stephen G. "Derangements, Permanents, and Christmas Presents." American Mathematical Monthly 98, no. 7 (1991): 617. http://dx.doi.org/10.2307/2324927.

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19

Vlasov, Alexander Yu. "Permanents, bosons and linear optics." Laser Physics Letters 14, no. 10 (2017): 103001. http://dx.doi.org/10.1088/1612-202x/aa7d90.

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20

Koparal, Sibel, Neşe Ömür, and Cemile Şener. "Some permanents of Hessenberg matrices." Filomat 33, no. 2 (2019): 475–81. http://dx.doi.org/10.2298/fil1902475k.

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21

Minc, Henryk. "Theory of permanents 1982–1985." Linear and Multilinear Algebra 21, no. 2 (1987): 109–48. http://dx.doi.org/10.1080/03081088708817786.

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22

Bhatia, Rajendra, and Ludwig Elsner. "On the variation of permanents." Linear and Multilinear Algebra 27, no. 2 (1990): 105–10. http://dx.doi.org/10.1080/03081089008817999.

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23

Avgustinovich, S. V. "Multidimensional permanents in enumeration problems." Journal of Applied and Industrial Mathematics 4, no. 1 (2010): 19–20. http://dx.doi.org/10.1134/s1990478910010035.

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24

Arias-de-Reyna, J. "Gaussian variables, polynomials and permanents." Linear Algebra and its Applications 285, no. 1-3 (1998): 107–14. http://dx.doi.org/10.1016/s0024-3795(98)10125-8.

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25

Ahmadi, Mohammad H., Jae-Hyun Baek, and Suk-Geun Hwang. "Permanents of doubly stochastic trees." Linear Algebra and its Applications 370 (September 2003): 15–24. http://dx.doi.org/10.1016/s0024-3795(03)00367-7.

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26

Gaspa, A., O. Dizien, and P. Orengo. "Champs magnétiques permanents. Pathologies sportives." Science & Sports 2, no. 2 (1987): 161–62. http://dx.doi.org/10.1016/s0765-1597(87)80011-4.

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27

Child, Billy, and Ian M. Wanless. "Multidimensional permanents of polystochastic matrices." Linear Algebra and its Applications 586 (February 2020): 89–102. http://dx.doi.org/10.1016/j.laa.2019.10.008.

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28

Wanless, Ian M. "Permanents, matchings and Latin rectangles." Bulletin of the Australian Mathematical Society 59, no. 1 (1999): 169–70. http://dx.doi.org/10.1017/s0004972700032731.

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29

Rempała, Grzegorz, and Jacek Wesołowski. "Limiting behavior of random permanents." Statistics & Probability Letters 45, no. 2 (1999): 149–58. http://dx.doi.org/10.1016/s0167-7152(99)00054-1.

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30

Korolyuk, V. S., and Yu V. Borovskikh. "Normal approximation of random permanents." Ukrainian Mathematical Journal 47, no. 7 (1995): 1058–64. http://dx.doi.org/10.1007/bf01084901.

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31

Chang, Derek K. "Permanents of doubly stochastic matrices." Discrete Mathematics 62, no. 2 (1986): 211–13. http://dx.doi.org/10.1016/0012-365x(86)90119-6.

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32

Bapat, R. B. "Permanents in probability and statistics." Linear Algebra and its Applications 127 (1990): 3–25. http://dx.doi.org/10.1016/0024-3795(90)90332-7.

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33

Bapat, R. B. "Symmetric function means and permanents." Linear Algebra and its Applications 182 (March 1993): 101–8. http://dx.doi.org/10.1016/0024-3795(93)90494-9.

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34

Dow, Stephen J., and Peter M. Gibson. "Permanents of d-dimensional matrices." Linear Algebra and its Applications 90 (May 1987): 133–45. http://dx.doi.org/10.1016/0024-3795(87)90311-9.

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35

Cao, Lei, Zhi Chen, Selcuk Koyuncu, and Huilan Li. "Permanents of doubly substochastic matrices." Linear and Multilinear Algebra 68, no. 3 (2018): 594–605. http://dx.doi.org/10.1080/03081087.2018.1513448.

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36

Penrice, Stephen G. "Derangements, Permanents, and Christmas Presents." American Mathematical Monthly 98, no. 7 (1991): 617–20. http://dx.doi.org/10.1080/00029890.1991.11995765.

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37

COEY, J. M. D. "Nouvelles phases pour aimants permanents." Le Journal de Physique IV 02, no. C3 (1992): C3–105—C3–106. http://dx.doi.org/10.1051/jp4:1992315.

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38

Borovskikh, Yuri V., and Vladimir S. Korolyuk. "Random permanents and symmetric statistics." Acta Applicandae Mathematicae 36, no. 3 (1994): 227–88. http://dx.doi.org/10.1007/bf01002359.

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39

Koparal, Sibel, Neşe Ömür, and Cemile D. Çolak. "On Certain Hessenberg Matrices Related with Linear Recurrences." Facta Universitatis, Series: Mathematics and Informatics 33, no. 2 (2018): 153. http://dx.doi.org/10.22190/fumi1802153k.

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40

Kocharovsky, Vitaly, Vladimir Kocharovsky, Vladimir Martyanov, and Sergey Tarasov. "Exact Recursive Calculation of Circulant Permanents: A Band of Different Diagonals inside a Uniform Matrix." Entropy 23, no. 11 (2021): 1423. http://dx.doi.org/10.3390/e23111423.

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We present a finite-order system of recurrence relations for the permanent of circulant matrices containing a band of k any-value diagonals on top of a uniform matrix (for k=1,2 and 3) and the method for deriving such recurrence relations, which is based on the permanents of the matrices with defects. The proposed system of linear recurrence equations with variable coefficients provides a powerful tool for the analysis of the circulant permanents, their fast, linear-time computing; and finding their asymptotics in a large-matrix-size limit. The latter problem is an open fundamental problem. It

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41

Grier, Daniel, Daniel J. Brod, Juan Miguel Arrazola, Marcos Benicio de Andrade Alonso, and Nicolás Quesada. "The Complexity of Bipartite Gaussian Boson Sampling." Quantum 6 (November 28, 2022): 863. http://dx.doi.org/10.22331/q-2022-11-28-863.

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Gaussian boson sampling is a model of photonic quantum computing that has attracted attention as a platform for building quantum devices capable of performing tasks that are out of reach for classical devices. There is therefore significant interest, from the perspective of computational complexity theory, in solidifying the mathematical foundation for the hardness of simulating these devices. We show that, under the standard Anti-Concentration and Permanent-of-Gaussians conjectures, there is no efficient classical algorithm to sample from ideal Gaussian boson sampling distributions (even appr

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42

McCullagh, Peter, and Jesper Møller. "The permanental process." Advances in Applied Probability 38, no. 4 (2006): 873–88. http://dx.doi.org/10.1017/s0001867800001361.

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We extend the boson process first to a large class of Cox processes and second to an even larger class of infinitely divisible point processes. Density and moment results are studied in detail. These results are obtained in closed form as weighted permanents, so the extension is called a permanental process. Temporal extensions and a particularly tractable case of the permanental process are also studied. Extensions of the fermion process along similar lines, leading to so-called determinantal processes, are discussed.

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43

Chan, Melody, and Nathan Ilten. "Fano schemes of determinants and permanents." Algebra & Number Theory 9, no. 3 (2015): 629–79. http://dx.doi.org/10.2140/ant.2015.9.629.

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44

Datta, Samir, Raghav Kulkarni, Nutan Limaye, and Meena Mahajan. "Planarity, Determinants, Permanents, and (Unique) Matchings." ACM Transactions on Computation Theory 1, no. 3 (2010): 1–20. http://dx.doi.org/10.1145/1714450.1714453.

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45

James, Gordon D., and Martin W. Liebeck. "Permanents and Immanants of Hermitian Matrices." Proceedings of the London Mathematical Society s3-55, no. 2 (1987): 243–65. http://dx.doi.org/10.1093/plms/s3-55_2.243.

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46

Falikman, Dmitry. "Inequalities for permanents of hermitian matrices." Linear Algebra and its Applications 263 (September 1997): 63–74. http://dx.doi.org/10.1016/s0024-3795(96)00508-3.

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47

Drury, S. W. "Permanents and Lorentzian time-semidefinite matrices." Linear Algebra and its Applications 294, no. 1-3 (1999): 155–68. http://dx.doi.org/10.1016/s0024-3795(99)00058-0.

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48

Song, Seok-Zun, Suk-Geun Hwang, Seog-Hoon Rim, and Gi-Sang Cheon. "Extremes of permanents of (0,1)-matrices." Linear Algebra and its Applications 373 (November 2003): 197–210. http://dx.doi.org/10.1016/s0024-3795(03)00382-3.

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49

Bapat, Ravindra, and Michael Neumann. "Inequalities for permanents involving Perron complements." Linear Algebra and its Applications 385 (July 2004): 95–104. http://dx.doi.org/10.1016/s0024-3795(03)00533-0.

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50

Brändén, Petter. "Solutions to two problems on permanents." Linear Algebra and its Applications 436, no. 1 (2012): 53–58. http://dx.doi.org/10.1016/j.laa.2011.06.022.

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