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Matricial Gaussian quadrature rules: Nonsingular case
Let $L$ be a linear operator on univariate polynomials of bounded degree, mapping into real symmetric matrices, such that its moment matrix is positive definite. It is known that $L$ admits a finitely atomic positive matrix-valued representing measure $μ$. Any $μ$ with the smallest sum of the ranks of the matricial masses is called minimal.
Zalar, Aljaž, Zobovič, Igor
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Gaussian Quadrature without Orthogonal Polynomials [PDF]
Ilan Degani, Jeremy Schi
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Universality Properties of Gaussian Quadrature, The Derivative Rule, and a Novel Approach to Stieltjes Inversion [PDF]
William P. Reinhardt
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Algorithm for the Time-Propagation of the Radial Diffusion Equation Based on a Gaussian Quadrature. [PDF]
Gillespie D.
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Gaussian quadrature for C1 cubic Clough-Tocher macro-triangles
J. Kosinka, M. Bartoň
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Hybrid quadrature moment method for accurate and stable representation of non-Gaussian processes applied to bubble dynamics [PDF]
A. Charalampopoulos +3 more
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Gaussian quadrature rules for C1 quintic splines with uniform knot vectors
M. Bartoň, R. Ait-Haddou, V. Calo
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The brain’s Electroencephalogram (EEG) signals contain essential information about the brain and are widely used to support the analysis of epilepsy. By analyzing brain behavioral patterns, an accurate classification of different epileptic states can be ...
Vishalakshi R +3 more
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Polynomial interpolation and Gaussian quadrature for matrix valued functions [PDF]
Walter Van Assche, Ann Sinap
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