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Weighted Polynomial Approximation in the Complex Plane [PDF]
Electronic Research Announcements of the American Mathematical Society, 1997 Given a pair ( G , W ) (G,W) of an open bounded set G G in the complex plane and a weight function W ( z ) W(z) which is analytic and different from zero in G G , we consider the problem of the locally uniform ...
R. Varga, I. Pritsker
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Rational approximation in the complex plane and on the line
Annales Academiae Scientiarum Fennicae Series A I Mathematica, 1976 T. Ganelius
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Weighted rational approximation in the complex plane
Journal de Mathématiques Pures et Appliquées, 1999 Given a domain \(G\subset\mathbb{C}\), \(f\) analytic in \(G\), a weight function \(W\) also analytic in \(G\) and \(W(z)\neq 0\) in \(G\), and \(\gamma\) with \(0\leq\gamma\leq 1\), the authors study the rational approximation property of \(W\): There exist rational functions \(R_i=P_{m_i}/Q_{n_i}\) where \(P,Q\) are polynomials of degree \(\leq m_i\)
Igor E Pritker, R. Varga
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Polynomial approximations in the complex plane
Journal of Computational and Applied Mathematics, 1987 The Lanczos \(\tau\)-method yields polynomial approximations for analytic functions which satisfy linear differential equations with polynomial coefficients. In particular, if the perturbation is proportional to the Faber or Chebyshev polynomials of a specific region G, then the method produces near-minimax polynomial approximations on G.
J. Coleman
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The Complexity of Approximating the Matching Polynomial in the Complex Plane [PDF]
ACM Transactions on Computation Theory, 2021 We study the problem of approximating the value of the matching polynomial on graphs with edge parameter γ, where γ takes arbitrary values in the complex plane. When γ is a positive real, Jerrum and Sinclair showed that the problem admits an FPRAS on general graphs.
Bezáková, Ivona +3 more
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Conditional normalizing flows for IceCube event reconstruction [PDF]
International Conference on Rebooting Computing, 2023 The IceCube Neutrino Observatory is a cubic-kilometer high-energy neutrino detector deployed in the Antarctic ice. Two major event classes are charged-current electron and muon neutrino interactions.
T. Glüsenkamp +404 more
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Sparse Plane Wave Approximation of Acoustic Modes to Address Basis Mismatch
Applied Sciences, 2022 Low-frequency sound field reconstruction in an enclosed space has many applications where the plane wave approximation of acoustic modes plays a crucial role.
Jian Xu +3 more
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The complexity of approximating the complex-valued Potts model [PDF]
, 2021 We study the complexity of approximating the partition function of the $q$-state Potts model and the closely related Tutte polynomial for complex values of the underlying parameters.
Galanis, Andreas +2 more
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A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 This article is fully devoted to the numerical approximation of Cauchy-type integrals in the complex plane. A class of degree eight quadrature rules is formulated from a family of Gauss-type two-point rules based on the method of extrapolation. The basic
Arup Kumar Saha +2 more
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Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem
Research in the Mathematical Sciences, 2021 Target signatures are discrete quantities computed from measured scattering data that could potentially be used to classify scatterers or give information about possible defects in the scatterer compared to an ideal object.
P. Monk, V. Selgás
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