Dr. Néstor Thome

Department of Applied Mathematics

Universitat Politècnica de València, Spain

Associate Professor

Email: njthome@mat.upv.es

Research fields

Matrix Theory

Generalized Inverses

Linear Control Theory

Qualifications

2000 Ph.D., Applied Mathematics, Universitat Politècnica de València, Spain

1994 B.Sc. Mathematics, Universidad Nacional del Sur, Argentina

Publications (selected)

1. C. Coll, A. Herrero, E. Sánchez, N. Thome, A dynamic model for a study of diabetes, Mathematical and Computer Modelling, 50, 713-716, 2009.
2. A. Herrero, F. Ramírez, N. Thome, Nonnegative matrices with nonnegative group-projector, Lecture Notes in Control and Information Sciences, 315, 320, 2009.
3. A. Herrero, A. Ramírez, N. Thome, Nonnegativity, stability and regularization of nonnegativity of discrete-time descriptor systems, Linear Algebra and its Applications, DOI: 10.1016/j.laa.2009.03.057, 432, 837-846, 2010.
4. A. Herrero, N. Thome, Using the GSVD and the lifting technique to find {P,k+1} reflexive and ant reflexive solutions of AXB=C, Applied Mathematics Letters, 24, 1130-1141, 2011.
5. L. Lebtahi, O. Romero, N. Thome, Characterizations of {K,s+1}-Potent Matrices and Applications, Linear Algebra and its Applications, Linear Algebra and its Applications, 436, 293-306, 2012.
6. L. Lebtahi, N. Thome, Properties of a matrix group associated to a {K, s+1}-potent matrix, Electronic Journal of Linear Algebra, 24, 34-44, 2012.
7. C. Coll, D. Ginestar, E. Sánchez, N. Thome, Drazin inverse based numerical methods for singular linear differential systems, Advances in Engineering Software DOI: 10.1016/j.advengsoft.2012.04.001, 50, 37-43, 2012.
8. D. Ilišević, N. Thome, When is the Hermitian/Skew-Hermitian part of a matrix a potent matrix?, Electronic Journal of Linear Algebra, 24, 95-112, 2012.
9. A. Hernández, M. Lattanzi, N. Thome, F. Urquiza, The star parcial order and the eigenprojection at 0 on EP matrices, Applied Mathematics & Computation, DOI: 10.1016/j.amc.2012.04.034, 218, 21, 10669-10678, 2012.
10. L. Lebtahi, P. Patrício, N. Thome, Special elements in a ring related to Drazin inverses, Linear and Multilinear Algebra, DOI: 10.1080/03081087.2012.728598, 1-11, 2012.
11. A. Hernández, M. Lattanzi, N. Thome, On a parcial order defined by means of the weighted Moore-Penrose inverse, Applied Mathematics and Computation, http://dx.doi.org/10.1016/j.amc.2013.02.010,219, 7310-7318, 2013.
12. L. Lebtahi, P. Patrício, N. Thome, The diamond partial order in rings, Linear and Multilinear Algebra, http://dx.doi.org/10.1080/03081087.2013.779272, 2013.
13. A. Herrero, F. Ramírez, N. Thome, Relationships between different sets involving group and Drazin projectors and non negativity, Linear Algebra and its Applications, 438, 4, 1688-1699, DOI:10.1016/j.laa.2011.08.029, 2013.
14. L. Lebtahi, O. Romero, N Thome, Relations between {K, s + 1}-potent matrices and different classes of complex matrices, Linear Algebra and its Applications, http://dx.doi.org/10.1016/j.laa.2011.10.042, 438,4, 1517-1531, 2013.
15. L. Lebtahi, O. Romero, N. Thome, Algorithms for {K, s+1}-potent matrix constructions, Journal of Computational and Applied Mathematics. DOI: 10.1016/j.cam.2012.01.019, 249, 157–162, 2013.
16. L. Lebtahi, J. Stuart, N. Thome, J. Weaver, Matrices A such that RA = As+1 R when Rk = I, To appear in Linear Algebra and its Applications, http://dx.doi.org/10.1016/j.laa.2012.10.034

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