Results 11 to 20 of about 522,654 (284)
Algorithms for the Rational Approximation of Matrix-Valued Functions [PDF]
SIAM Journal on Scientific Computing, 2021 A selection of algorithms for the rational approximation of matrix-valued functions are discussed, including variants of the interpolatory AAA method, the RKFIT method based on approximate least squares fitting, vector fitting, and a method based on low-rank approximation of a block Loewner matrix. A new method, called the block-AAA algorithm, based on
Ion Victor Gosea, Stefan Güttel
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An Algorithm for Best Generalised Rational Approximation of Continuous Functions [PDF]
Set-Valued and Variational Analysis, 2022 The motivation of this paper is the development of an optimisation method for solving optimisation problems appearing in Chebyshev rational and generalised rational approximation problems, where the approximations are constructed as ratios of linear forms (linear combinations of basis functions).
R. Díaz Millán +2 more
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The AAAtrig Algorithm for Rational Approximation of Periodic Functions [PDF]
SIAM Journal on Scientific Computing, 2021 We present an extension of the AAA (adaptive Antoulas--Anderson) algorithm for periodic functions, called 'AAAtrig'. The algorithm uses the key steps of AAA approximation by (i) representing the approximant in (trigonometric) barycentric form and (ii) selecting the support points greedily.
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Quantum algorithm for an additive approximation of Ising partition functions [PDF]
Physical Review A, 2014 18 pages, 12 ...
Matsuo, Akira +2 more
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Computational Algorithm for Approximating Fractional Derivatives of Functions
Journal of Modeling and Simulation of Materials, 2022 This paper presents an algorithmic approach for numerically solving Caputo fractional differentiation. The trapezoidal rule was modified, the new modification was used to derive an algorithm to approximate fractional derivatives of order α > 0, the fractional derivative used was based on Caputo definition for a given function by a weighted sum of ...
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Dual Taylor Series, Spline Based Function and Integral Approximation and Applications
Mathematical and Computational Applications, 2019 In this paper, function approximation is utilized to establish functional series approximations to integrals. The starting point is the definition of a dual Taylor series, which is a natural extension of a Taylor series, and spline based series ...
Roy M. Howard
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Optimal algorithms for doubly weighted approximation of univariate functions
Journal of Approximation Theory, 2016 For given positive integer \( r , 1 \leq p \leq \infty\), and a positive and measurable weight function \(\psi : \mathbb{R}_+ \rightarrow \mathbb{R}_+ \), the authors consider the space \(F=F(r,p,\psi)\) consisting of functions \(f: \mathbb{R}_+ \rightarrow \mathbb{R} \), with (locally) absolutely continuous derivative \(f^{(r-1)}\), and \( \parallel f^
Kuo, F. Y. +2 more
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Optimal Centers’ Allocation in Smoothing or Interpolating with Radial Basis Functions
Mathematics, 2021 Function interpolation and approximation are classical problems of vital importance in many science/engineering areas and communities. In this paper, we propose a powerful methodology for the optimal placement of centers, when approximating or ...
Pedro González-Rodelas +3 more
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Approximation Algorithms for Stochastic Boolean Function Evaluation and Stochastic Submodular Set Cover [PDF]
, 2013 Stochastic Boolean Function Evaluation is the problem of determining the value of a given Boolean function f on an unknown input x, when each bit of x_i of x can only be determined by paying an associated cost c_i.
Deshpande, Amol +2 more
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Approximate Implicitization Using Linear Algebra
Journal of Applied Mathematics, 2012 We consider a family of algorithms for approximate implicitization of rational parametric curves and surfaces. The main approximation tool in all of the approaches is the singular value decomposition, and they are therefore well suited to floating-point ...
Oliver J. D. Barrowclough, Tor Dokken
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