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The nonnegative inverse eigenvalue problem (NIEP) is shown to be solvable by the reality condition, spectrum equal to its conjugate, as well as by a finite union and intersection of polynomial inequalities. It is also shown that the symmetric NIEP an
Externí odkaz:
http://arxiv.org/abs/2407.14472
As was detailed by Loewy and London in [Linear and Multilinear Algebra 6 (1978/79), no.~1, 83--90], the cone of polynomials that preserve the nonnegativity of matrices may play an important role in the solution to the nonnegative inverse eigenvalue p
Externí odkaz:
http://arxiv.org/abs/2402.04508
Autor:
Clark, Benjamin J., Paparella, Pietro
A recently-established necessary condition for polynomials that preserve the class of entrywise nonnegative matrices of a fixed order is shown to be necessary and sufficient for the class of nonnegative monomial matrices. Along the way, we provide a
Externí odkaz:
http://arxiv.org/abs/2401.01471
Autor:
Beck, Douglas, Carlson, Joseph, Davoudi, Zohreh, Formaggio, Joseph, Quaglioni, Sofia, Savage, Martin, Barata, Joao, Bhattacharya, Tanmoy, Bishof, Michael, Cloet, Ian, Delgado, Andrea, DeMarco, Michael, Fink, Caleb, Florio, Adrien, Francois, Marianne, Grabowska, Dorota, Hoogerheide, Shannon, Huang, Mengyao, Ikeda, Kazuki, Illa, Marc, Joo, Kyungseon, Kharzeev, Dmitri, Kowalski, Karol, Lai, Wai Kin, Leach, Kyle, Loer, Ben, Low, Ian, Martin, Joshua, Moore, David, Mehen, Thomas, Mueller, Niklas, Mulligan, James, Mumm, Pieter, Pederiva, Francesco, Pisarski, Rob, Ploskon, Mateusz, Reddy, Sanjay, Rupak, Gautam, Singh, Hersh, Singh, Maninder, Stetcu, Ionel, Stryker, Jesse, Szypryt, Paul, Valgushev, Semeon, VanDevender, Brent, Watkins, Samuel, Wilson, Christopher, Yao, Xiaojun, Afanasev, Andrei, Balantekin, Akif Baha, Baroni, Alessandro, Bunker, Raymond, Chakraborty, Bipasha, Chernyshev, Ivan, Cirigliano, Vincenzo, Clark, Benjamin, Dhiman, Shashi Kumar, Du, Weijie, Dutta, Dipangkar, Edwards, Robert, Flores, Abraham, Galindo-Uribarri, Alfredo, Ruiz, Ronald Fernando Garcia, Gueorguiev, Vesselin, Guo, Fanqing, Hansen, Erin, Hernandez, Hector, Hattori, Koichi, Hauke, Philipp, Hjorth-Jensen, Morten, Jankowski, Keith, Johnson, Calvin, Lacroix, Denis, Lee, Dean, Lin, Huey-Wen, Liu, Xiaohui, Llanes-Estrada, Felipe J., Looney, John, Lukin, Misha, Mercenne, Alexis, Miller, Jeff, Mottola, Emil, Mueller, Berndt, Nachman, Benjamin, Negele, John, Orrell, John, Patwardhan, Amol, Phillips, Daniel, Poole, Stephen, Qualters, Irene, Rumore, Mike, Schaefer, Thomas, Scott, Jeremy, Singh, Rajeev, Vary, James, Galvez-Viruet, Juan-Jose, Wendt, Kyle, Xing, Hongxi, Yang, Liang, Young, Glenn, Zhao, Fanyi
In preparation for the 2023 NSAC Long Range Plan (LRP), members of the Nuclear Science community gathered to discuss the current state of, and plans for further leveraging opportunities in, QIST in NP research at the Quantum Information Science for U
Externí odkaz:
http://arxiv.org/abs/2303.00113
Autor:
Lu, Ya, Huang, Xueyan, Adpressa, Donovon A., Mou, Linyun, Taylor, Peter R., Clark, Benjamin R.
Publikováno v:
In Phytochemistry October 2024 226
Publikováno v:
In Biochemical Systematics and Ecology October 2024 116
Autor:
Clark, Benjamin J., Paparella, Pietro
A known characterization for entire functions that preserve all nonnegative matrices of order two is shown to characterize polynomials that preserve nonnegative matrices of order two. Equivalent conditions are derived and used to prove that $\mathscr
Externí odkaz:
http://arxiv.org/abs/2109.13365
Autor:
Clark, Benjamin J., Paparella, Pietro
Publikováno v:
Linear Algebra and its Applications, 637 (2022), 110-118
In further pursuit of a solution to the celebrated nonnegative inverse eigenvalue problem, Loewy and London [Linear and Multilinear Algebra 6 (1978/79), no.~1, 83--90] posed the problem of characterizing all polynomials that preserve all nonnegative
Externí odkaz:
http://arxiv.org/abs/2109.03360
Autor:
Clark, Benjamin Y., Parker, Robert
Publikováno v:
In Social Sciences & Humanities Open 2024 9
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