المؤلفون: Bardhan, Bijoya, Sen, Mausumi, Sharma, Debashish

مصطلحات موضوعية: keyword:inverse eigenvalue problem, keyword:unicyclic graph, keyword:leading principal submatrices, msc:05C50, msc:15A24, msc:65F18

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/152316

المؤلفون: Babaei Zarch, Maryam, Shahzadeh Fazeli, Seyed Abolfazl, Karbassi, Seyed Mehdi

مصطلحات موضوعية: keyword:inverse eigenvalue problem, keyword:leading principal submatrices, keyword:graph of a matrix, keyword:eigenpair, msc:05C50, msc:65F18

وصف الملف: application/pdf

Relation: mr:MR4064591; zbl:07177873; reference:[1] Andrade, E., Gomes, H., Robbiano, M.: Spectra and Randić spectra of caterpillar graphs and applications to the energy.MATCH Commun. Math. Comput. Chem. 77 (2017), 61-75. MR 3645367; reference:[2] Bu, C., Zhou, J., Li, H.: Spectral determination of some chemical graphs.Filomat 26 (2012), 1123-1131. Zbl 1289.05271, MR 3099573, 10.2298/FIL1206123B; reference:[3] Chu, M. T., Golub, G. H.: Inverse Eigenvalue Problems: Theory, Algorithms, and Applications.Numerical Mathematics and Scientific Computation, Oxford University Press, Oxford (2005). Zbl 1075.65058, MR 2263317, 10.1093/acprof:oso/9780198566649.001.0001; reference:[4] Duarte, A. L.: Construction of acyclic matrices from spectral data.Linear Algebra Appl. 113 (1989), 173-182. Zbl 0661.15024, MR 0978591, 10.1016/0024-3795(89)90295-4; reference:[5] Elhay, S., Gladwell, G. M. L., Golub, G. H., Ram, Y. M.: On some eigenvector-eigenvalue relations.SIAM J. Matrix Anal. Appl. 20 (1999), 563-574. Zbl 0929.15008, MR 1685042, 10.1137/S089547989631072X; reference:[6] Ghanbari, K., Parvizpour, F.: Generalized inverse eigenvalue problem with mixed eigendata.Linear Algebra Appl. 437 (2012), 2056-2063. Zbl 1262.15017, MR 2950471, 10.1016/j.laa.2012.05.020; reference:[7] Hogben, L.: Spectral graph theory and the inverse eigenvalue problem of a graph.Electron. J. Linear Algebra 14 (2005), 12-31. Zbl 1162.05333, MR 2202430, 10.13001/1081-3810.1174; reference:[8] Monfared, K. H., Shader, B. L.: Construction of matrices with a given graph and prescribed interlaced spectral data.Linear Algebra Appl. 438 (2013), 4348-4358. Zbl 1282.05141, MR 3034535, 10.1016/j.laa.2013.01.036; reference:[9] Nair, R., Shader, B. L.: Acyclic matrices with a small number of distinct eigenvalues.Linear Algebra Appl. 438 (2013), 4075-4089. Zbl 1282.05142, MR 3034516, 10.1016/j.laa.2012.08.029; reference:[10] Nylen, P., Uhlig, F.: Inverse eigenvalue problems associated with spring-mass systems.Linear Algebra Appl. 254 (1997), 409-425. Zbl 0879.15007, MR 1436689, 10.1016/S0024-3795(96)00316-3; reference:[11] Peng, J., Hu, X.-Y., Zhang, L.: Two inverse eigenvalue problems for a special kind of matrices.Linear Algebra Appl. 416 (2006), 336-347. Zbl 1097.65053, MR 2242733, 10.1016/j.laa.2005.11.017; reference:[12] Pickmann, H., Egaña, J., Soto, R. L.: Extremal inverse eigenvalue problem for bordered diagonal matrices.Linear Algebra Appl. 427 (2007), 256-271. Zbl 1144.65026, MR 2351358, 10.1016/j.laa.2007.07.020; reference:[13] Pivovarchik, V., Rozhenko, N., Tretter, C.: Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings.Linear Algebra Appl. 439 (2013), 2263-2292. Zbl 1286.34025, MR 3091304, 10.1016/j.laa.2013.07.003; reference:[14] Sen, M., Sharma, D.: Generalized inverse eigenvalue problem for matrices whose graph is a path.Linear Algebra Appl. 446 (2014), 224-236. Zbl 1286.65050, MR 3163141, 10.1016/j.laa.2013.12.035; reference:[15] Sharma, D., Sen, M.: Inverse eigenvalue problems for two special acyclic matrices.Mathematics 4 (2016), Article ID 12, 11 pages. Zbl 1382.65109, 10.3390/math4010012; reference:[16] Sharma, D., Sen, M.: Inverse eigenvalue problems for acyclic matrices whose graph is a dense centipede.Spec. Matrices 6 (2018), 77-92. Zbl 1391.15098, MR 3764333, 10.1515/spma-2018-0008; reference:[17] Zhang, Y.: On the general algebraic inverse eigenvalue problems.J. Comput. Math. 22 (2004), 567-580. Zbl 1066.65044, MR 2072173

الاتاحة: http://hdl.handle.net/10338.dmlcz/147996