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Product Approximation: Error Estimates
1982A number of recent papers [3,4,5,7,8] (also see the references of [5]) have considered various computational and theoretical aspects of uniform product approximation. In the present paper an error estimate for uniform product approximation is reviewed, and error estimates are established for certain kinds of discrete uniform product approximations ...
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Randomized error estimation for eigenvalue approximation
Calcolo, 2000The paper is concerned with the average behavior of the error in iterative methods for eigenvalue and eigenvector estimation by methods based on Krylov information with respect to random start vectors. For a given matrix \(A\) with dominant eigenvalue of unit absolute value, let \(E(k,A,p)^p\) be the integral of the \(p\)-th power of the error for the \
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1993
In physics, as in other sciences, approximation is the rule of the day. The theoretical work involved in preparing an experiment and the interpretation of the experiment’s results are approximate in nature. Much purely theoretical work also involves approximation of one sort or another, while laboratory work yields results that are reproducible at best
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In physics, as in other sciences, approximation is the rule of the day. The theoretical work involved in preparing an experiment and the interpretation of the experiment’s results are approximate in nature. Much purely theoretical work also involves approximation of one sort or another, while laboratory work yields results that are reproducible at best
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Approximation of the Complementary Error Function
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1995The author gives a simple approximation to the complementary error function.
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„Engineering” error evaluation in approximate structural analysis
Meccanica, 1980It is observed that pure mathematical estimates of errors involved by the introduction of approximate procedures in structural analysis may be insufficient to judge the effectiveness of the method and the adequacy of the results. This circumstance can be explained by the simultaneous presence of many other uncertainties that, making necessary the ...
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On Chebyshev Approximation with Relative Error
1983Let \(h\in C[-1,1]\), and suppose that h has at most a finite number of zeros \(x_ i\), \(i=1,2,...,k\), on [-1,1]. Further suppose that \(h(x)\sim C_ i(x-x_ i)^{n_ i}\) as \(x\to x_ i\), \(C_ i\neq 0\), where the \(n_ i\) are positive integers. Let the polynomial \(P_ h(x)=\prod^{k}_{i=1}(x-x_ i)^{n_ i}\) be assigned to h.
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Approximate Homomorphic Encryption with Reduced Approximation Error
2022Andrey Kim +2 more
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Error Analysis on the TICER Approximation
Circuits, Systems, and Signal Processing, 2023Wenhui Yao, Chunxiong Zheng, Zhenya Zhou
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Laplace approximation in measurement error models.
Biometrical journal. Biometrische Zeitschrift, 2011Likelihood analysis for regression models with measurement errors in explanatory variables typically involves integrals that do not have a closed-form solution. In this case, numerical methods such as Gaussian quadrature are generally employed. However, when the dimension of the integral is large, these methods become computationally demanding or even ...
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Error Control with Polynomial Approximations
IMA Journal of Numerical Analysis, 1981Schonfelder, J. L., Razaz, M.
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