Sum-of-Squares Hierarchies for Polynomial Optimization and the Christoffel--Darboux Kernel
SIAM Journal on Optimization, 2022Lucas Slot
exaly
A Christoffel-Darboux-Type Formula for Szegö Polynomials and Polynomial Evaluation
1999Polynomials Φ n , n ≥ 0, orthogonal on the complex unit circle satisfy a recurrence relation. If we shift their recurrence coefficients, we obtain the associated polynomials, which can be modified by changing the initialization. We prove a dual recurrence relation and a mixed Christoffel-Darboux-type formula, which expresses the derivative of an ...
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Extended Prelle–Singer procedure and Darboux polynomial method: An unknown interconnection
International Journal of Non-Linear Mechanics, 2020Murugaian Senthilvelan
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Darboux integrability of the simple chaotic flow with a line equilibria differential system
Chaos, Solitons and Fractals, 2020Adnan A Jalal
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Darboux invariants for planar polynomial differential systems having an invariant conic
Zeitschrift Fur Angewandte Mathematik Und Physik, 2013Jaume Llibre +2 more
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Polynomial SUSY in quantum mechanics and second derivative Darboux transformations
Physics Letters, Section A: General, Atomic and Solid State Physics, 1995David Nishnianidze
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On the computation of Darboux first integrals of a class of planar polynomial vector fields
Journal of Mathematical Analysis and Applications, 2019Antoni Ferragut +2 more
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Darboux integrability of polynomial differential systems in $\mathbb R^3$
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2013Jaume Llibre
exaly
A note on the application of Darboux polynomial method to an nonlinear oscillator equation
International Journal of Non-Linear Mechanics, 2019Murugaian Senthilvelan
exaly