Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems [PDF]
, 2014 of Toda-like integrable systems are connected us-ing the Gauss-Borel factorization of two, left and a right, Cantero-Morales-Velázquez block moment matrices, which are constructed using a quasi-definite matrix measure.
Mañas Baena, Manuel Enrique +2 more
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A sparsified Christoffel function for high-dimensional inference [PDF]
Christoffel polynomials are classical tools from approximation theory. They can be used to estimate the (compact) support of a measure $μ$ on $\mathbb{R}^d$ based on its low-degree moments.
Slot, Lucas, Lasserre, Jean-Bernard
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The Faber polynomials for annular sectors and an application to the iterative solution of linear systems of equations [PDF]
, 1994 A conformal mapping of the exterior of the unit circle to the exterior of a region of the complex plane determines the Faber polynomials for that region.
Myers, Nicholas John, Myers, N.J
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Biorthogonal polynomials for two-matrix models with semiclassical potentials [PDF]
, 2007 We consider the biorthogonal polynomials associated to the two-matrix model where the eigenvalue distribution has potentials V1,V2 with arbitrary rational derivative and whose supports are constrained on an arbitrary union of intervals (hard-edges).
Bertola, M.
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Symmetry, Integrability and Geometry: Methods and Applications, 2006 We study multivariable Christoffel-Darboux kernels, which may be viewed as reproducing kernels for antisymmetric orthogonal polynomials, and also as correlation functions for products of characteristic polynomials of random Hermitian matrices.
Hjalmar Rosengren
doaj
Non-Commutative Painlevé Equations and Hermite-Type Matrix Orthogonal Polynomials [PDF]
, 2014 We study double integral representations of Christoffel–Darboux kernels associated with two examples of Hermite-type matrix orthogonal polynomials. We show that the Fredholm determinants connected with these kernels are related through the Its–Izergin ...
M.D. de la Iglesia, M. Cafasso
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General Christoffel Perturbations for Mixed Multiple Orthogonal Polynomials [PDF]
Performing both right and left multiplication operations using general regular matrix polynomials, which need not be monic and may possess leading coefficients of arbitrary rank, on a rectangular matrix of measures associated with mixed multiple ...
Mañas, Manuel, Rojas, Miguel
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Bispectrality for matrix Laguerre-Sobolev polynomials [PDF]
In this contribution we deal with sequences of polynomials orthogonal with respect to a Sobolev type inner product. A banded symmetric operator is associated with such a sequence of polynomials according to the higher order difference equation they ...
Zurrián, Ignacio Nahuel +1 more
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Determination of Elastic Constants and Damage in Ceramic Matrix Composites Using Ultrasonic Wave Speed Measurements [PDF]
, 2006 MATLAB programs were developed to compute the elastic constants and damage of ceramic matrix composites using ultrasonic wave speed measurements. The matrix of elastic stiffnesses, C, relates the material stresses and strains.
Spurlock, Chad
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An infinite-dimensional Christoffel function and detection of abnormal trajectories [PDF]
We introduce an infinite-dimensional version of the Christoffel function, where now (i) its argument lies in a Hilbert space of functions, and (ii) its associated underlying measure is supported on a compact subset of the Hilbert space.
Henrion, Didier, Lasserre, Jean-Bernard
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