
Ruymán
Cruz Barroso
Associate Professor
Publications (29)
2022
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Zeros of quasi-paraorthogonal polynomials and positive quadrature
Journal of Computational and Applied Mathematics, Vol. 407
2017
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Orthogonal rational functions on the unit circle with prescribed poles not on the unit circle
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 13
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Szegő-type quadrature formulas
Journal of Mathematical Analysis and Applications, Vol. 455, Núm. 1, pp. 592-605
2016
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ON A SPECTRAL THEOREM IN PARAORTHOGONALITY THEORY
Pacific Journal of Mathematics, Vol. 280, Núm. 2, pp. 327-347
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On a spectral theorem in paraorthogonality theory
Pacific Journal of Mathematics, Vol. 280, Núm. 2, pp. 327-347
2015
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A connection between Szego{combining double acute accent}-Lobatto and quasi Gauss-type quadrature formulas
Journal of Computational and Applied Mathematics, Vol. 284, pp. 133-143
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Matrix methods for quadrature formulas on the unit circle. A survey
Journal of Computational and Applied Mathematics, Vol. 284, pp. 78-100
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Multiple orthogonal polynomials on the unit circle. Normality and recurrence relations
Journal of Computational and Applied Mathematics, Vol. 284, pp. 115-132
2013
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Erratum to On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line (Calcolo, (2010), 47, (21-48), 10.1007/s10092-009-0013-x)
Calcolo
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Orthogonal Laurent polynomials. A new algebraic approach
Journal of Mathematical Analysis and Applications, Vol. 408, Núm. 1, pp. 40-54
2011
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On the computation of the Fourier transform under the presence of nearby polar singularities
New York Journal of Mathematics, Vol. 17 A, pp. 127-146
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Rational approximants associated with measures supported on the unit circle and the real line
Journal of Computational and Applied Mathematics
2010
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Computation of Gauss-type quadrature formulas with some preassigned nodes
Jaen journal on approximation, Vol. 2, Núm. 2, pp. 163-191
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On gauss-type quadrature formulas with prescribed nodes anywhere on the real line
Calcolo, Vol. 47, Núm. 1, pp. 21-48
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Orthogonality, interpolation and quadratures on the unit circle and the interval [-1,1]
Journal of Computational and Applied Mathematics
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Positive rational interpolatory quadrature formulas on the unit circle and the interval
Applied Numerical Mathematics
2009
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An application of Szego{double acute} polynomials to the computation of certain weighted integrals on the real line
Numerical Algorithms, Vol. 52, Núm. 3, pp. 273-293
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Orthogonal Laurent polynomials on the unit circle and snake-shaped matrix factorizations
Journal of Approximation Theory, Vol. 161, Núm. 1, pp. 65-87
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Quadrature formulas associated with Rogers-Szego{double acute} polynomials
Computers and Mathematics with Applications, Vol. 57, Núm. 2, pp. 308-323
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Rational Szego quadratures associated with Chebyshev weight functions
Mathematics of Computation, Vol. 78, Núm. 266, pp. 1031-1059