Abstract
In this paper, some characterizations of strictly k–banded nonsingular sign regular matrices are presented and new sufficient conditions for the total positivity of tridiagonal matrices are provided.
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References
Ando, T.: Totally positive matrices. Linear Algebra Appl. 90, 165–219 (1987)
Barreras, A., Peña, J.M.: Characterizations of Jacobi sign regular matrices. Linear Algebra Appl. 436, 381–388 (2012)
Cortés, V., Peña, J.M.: Required nonzero patterns for nonsingular sign regular matrices. Linear Algebra Appl. 432, 1990–1994 (2010)
Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (1985)
Huang, R.: Sign structure preserves for m-banded factorizations of sign regular matrices. Linear Algebra Appl. 436, 1990–2000 (2012)
Koev, P.: Accurate computations with totally nonnegative matrices. SIAM J. Matrix Anal. Appl. 29, 731–751 (2007)
Peña, J.M.: Sign regular matrices of order two. Linear Multilinear A. 50, 91–97 (2002)
Pinkus, A.: Totally Positive Matrices. Cambridge Tracts in Mathematics, vol. 181. Cambridge University Press, Cambridge (2010)
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Barreras, Á., Peña, J.M. (2014). On Tridiagonal Sign Regular Matrices and Generalizations. In: Casas, F., Martínez, V. (eds) Advances in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-06953-1_23
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DOI: https://doi.org/10.1007/978-3-319-06953-1_23
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