Results 11 to 20 of about 83 (53)

A Gr\"uss type operator inequality [PDF]

, 2016
In [P. Renaud, "A matrix formulation of Gr\"uss inequality", Linear Algebra Appl. 335 (2001), 95--100] it was proved an operator inequality involving the usual trace functional.
Bottazzi, Tamara, Conde, Cristian
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Matrix Toda and Volterra lattices [PDF]

, 2021
We consider matrix Toda and Volterra lattice equations and their relation with matrix biorthogonal polynomials. From that relation, we give a method for constructing a new solution of these systems from another given one.
Branquinho, Amílcar, García-Ardila, Juan C., Moreno, Ana Foulquié   +2 more
core   +1 more source

Matrix interpretation of multiple orthogonality [PDF]

, 2010
In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials.We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector ...
A Bultheel, A Bultheel, A Bultheel, AI Aptekarev, AI Aptekarev, AJ Durán, Amílcar Branquinho, Ana Foulquié Moreno, B Beckermann, B Beckermann, B Beckermann, D Barrios Rolanía, DW Lee, EM Nikishin, J Arvesú, J Bustamante, J Coussement, J Iseghem Van, K Douak, Luis Cotrim, M Barel Van, MEH Ismail, P Maroni, P Maroni, SK Burley, V Kaliaguine, VN Sorokin, W Assche Van, W Assche Van, WD Evans   +29 more
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Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials [PDF]

, 2016
In this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials orthogonal with respect to a complex matrix measure.
A. Branquinho, A. Foulquié Moreno, A. Mendes, Aptekarev A, Berezanskii Yu, Nikishin E, Vilenkin N Ya   +6 more
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On functional equations related to derivations in semiprime rings and standard operator algebras [PDF]

, 2012
In this paper functional equations related to derivations on semiprime rings and standard operator algebras are investigated. We prove, for example, the following result, which is related to a classical result of Chernoff.
Nejc Širovnik
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On the Cauchy Problem for a Linear Harmonic Oscillator with Pure Delay [PDF]

, 2014
In the present paper, we consider a Cauchy problem for a linear second order in time abstract differential equation with pure delay. In the absence of delay, this problem, known as the harmonic oscillator, has a two-dimensional eigenspace so that the ...
Azizbayov, Elvin, Khusainov, Denys, Pokojovy, Michael   +2 more
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Jensen's functional equation on the symmetric group $\bold{S_n}$

, 2011
Two natural extensions of Jensen's functional equation on the real line are the equations $f(xy)+f(xy^{-1}) = 2f(x)$ and $f(xy)+f(y^{-1}x) = 2f(x)$, where $f$ is a map from a multiplicative group $G$ into an abelian additive group $H$.
C.T. Ng, C.T. Ng, C.T. Ng, C.T. Ng, Công-Trình Lê, M. Suzuki, Trung-Hiêu Thái   +6 more
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The Q-operator and Functional Relations of the Eight-vertex Model at Root-of-unity $\eta = \frac{2m K}{N}$ for odd N

, 2007
Following Baxter's method of producing Q_{72}-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the crossing parameter $\eta = \frac{2m K}{N}$ with odd $N$ where Q_{72} does not exist.
Albertini G, Baxter R J, Date E, Deguchi T, Deguchi T, Fabricius K, Fabricius K, Fabricius K, Fabricius K, Fabricius K McCoy B M, Roan S S, Roan S S, Roan S S, Roan S S, Roan S S, Shi-shyr Roan, Takhtadzhan L A   +16 more
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The Luk\'{a}cs--Olkin--Rubin theorem on symmetric cones [PDF]

, 2014
In this paper we prove a Luk\'{a}cs type characterization theorem of the Wishart distribution on Euclidean simple Jordan algebras under weak regularity assumptions (e.g.
Gselmann, Eszter
core  

Relative asymptotics for orthogonal matrix polynomials [PDF]

, 2010
In this paper we study sequences of matrix polynomials that satisfy a non-symmetric recurrence relation. To study this kind of sequences we use a vector interpretation of the matrix orthogonality.
Branquinho, A., Marcellán, F., Mendes, A.   +2 more
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