The structured distance to normality of an irreducible real tridiagonal matrix.
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Noschese, S., Pasquini, L., Reichel, L. (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Rajesh Pereira, Joanna Boneng (2014)
Special Matrices
We generalize the theory of positive diagonal scalings of real positive definite matrices to complex diagonal scalings of complex positive definite matrices. A matrix A is a diagonal scaling of a positive definite matrix M if there exists an invertible complex diagonal matrix D such that A = D*MD and where every row and every column of A sums to one. We look at some of the key properties of complex diagonal scalings and we conjecture that every n by n positive definite matrix has at most 2n−1 scalings...
Pati, Sukanta (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Bidard, Christian (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
DeAlba, Luz Maria, Hardy, Timothy L., Hogben, Leslie, Wangsness, Amy (2003)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Jacques Faraut, Linda Saal (2007)
Banach Center Publications
The Wigner Theorem states that the statistical distribution of the eigenvalues of a random Hermitian matrix converges to the semi-circular law as the dimension goes to infinity. It is possible to establish this result by using harmonic analysis on the Heisenberg group. In fact this convergence corresponds to the topology of the set of spherical functions associated to the action of the unitary group on the Heisenberg group.
Bryan Cain, Daniel Hershkowitz, Hans Schneider (1997)
Czechoslovak Mathematical Journal
Standard facts about separating linear functionals will be used to determine how two cones and and their duals and may overlap. When is linear and and are cones, these results will be applied to and , giving a unified treatment of several theorems of the alternate which explain when contains an interior point of . The case when is the space of Hermitian matrices, is the positive semidefinite matrices, and yields new and known results about the existence of block diagonal...
Maki Furukado, Shunji Ito, E. Arthur Robinson (2006)
Annales de l’institut Fourier
Suppose has a 2-dimensional expanding subspace , satisfies a regularity condition, called “good star”, and has , where is an oriented compound of . A morphism of the free group on is called a non-abelianization of if it has structure matrix . We show that there is a tiling substitution whose “boundary substitution” is a non-abelianization of . Such a tiling substitution leads to a self-affine tiling of with as its expansion. In the last section we find conditions on so...
Böttcher, A., Grudsky, S. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Johnson, Charles R., Negron, Cris (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Coope, I.D., Renaud, P.F. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Miguel Sanchez García, Antonio Pérez, M.ª Josefa Domench (1988)
Trabajos de Investigación Operativa
En la Teoría de la Decisión en Grupo, cuando los expertos emiten su información sobre los objetos de una manera probabilística, se pueden construir Principios de Consistencia que satisfagan los cinco principios de racionalidad y no sean dictatoriales [ver Sánchez-Pérez-Domench (1986)].Partiendo de esta situación, en el presente artículo se analizan y proponen diferentes métodos y algoritmos para transformar relaciones sociales aleatorias en determinísticas, continuando y completando así investigaciones...
Amelia Guivernau (1980)
Gaceta Matemática
French, Christopher (2007)
Journal of Integer Sequences [electronic only]
Tuğrul Dayar, Jean-Michel Fourneau, Nihal Pekergin (2003)
RAIRO - Operations Research - Recherche Opérationnelle
We present a transformation for stochastic matrices and analyze the effects of using it in stochastic comparison with the strong stochastic (st) order. We show that unless the given stochastic matrix is row diagonally dominant, the transformed matrix provides better st bounds on the steady state probability distribution.
Tuğrul Dayar, Jean-Michel Fourneau, Nihal Pekergin (2010)
RAIRO - Operations Research
We present a transformation for stochastic matrices and analyze the effects of using it in stochastic comparison with the strong stochastic (st) order. We show that unless the given stochastic matrix is row diagonally dominant, the transformed matrix provides better st bounds on the steady state probability distribution.
Inheung Chon, Hyesung Min (1999)
Czechoslovak Mathematical Journal
We show that each element in the semigroup of all non-singular upper (or lower) triangular stochastic matrices is generated by the infinitesimal elements of , which form a cone consisting of all upper (or lower) triangular intensity matrices.
Horn, Roger A., Kittaneh, Fuad (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Fujimoto, Takao, Ranade, Ravindra R. (2004)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Petr Veselý (1992)
Czechoslovak Mathematical Journal
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