In this answer to a question about normalization of quaternions, the author provides some code which calculates the inverse square root, using 2.0 / (1.0 + qmagsq) as an approximation for 1.0 / std::sqrt(qmagsq) for values quite near 1: double qmagsq = quat.square_magnitude(); if (std...
Polynomial Root-Finding And Polynomiographydoi:10.1142/9789812811837_0021Bahman KalantariBahman Kalantari (2008) Approximation of Square-Roots Revisited: Basic Family, Continued Fractions and Factorization. Polynomial Root- Finding and Polynomiography: pp. 429-441....
Twitter Google Share on Facebook approximation Also found in:Dictionary,Thesaurus,Financial,Encyclopedia,Wikipedia. Related to approximation:joint approximation,Approximation algorithms [ah-prok″sĭ-ma´shun] 1.the act or process of bringing into proximity or apposition. ...
On modern PC hardware, computing the square root of n may well be faster using floating point arithmetics than any kind of fast integer math, but as for all performance issues, careful benchmarking is required. Note however that computing the square root may not be required at all: you can...
One-parameter families of iterative methods for the simulta- neous determination of multiple complex zeros of a polynomial are con- sidered. Acceleration of convergence is performed by using Newton's and Halley's corrections for a multiple zero. It is shown that the convergence order of the con...
The method is to approximate the true potential barrier by an equivalent rectangular barrier whose height is determined by the square‐mean‐root value of the true barrier. Even for barriers of trapezoidal shape, the calculation gives the polarity dependence of theJ—Vcharacteristics in the low‐...
Our focus is the approximation of reciprocal, square root, square root reciprocal, exponentials, logarithms, trigonometric functions, powering (with a fixed exponent p), or special functions. The algorithm presented here combines table look-up, an enhanced minimax quadratic approximation, and an ...
Newton's method of approximation 牛顿近似计算法 Newton's approximation 牛顿近似法 Newton's method 牛顿法 Newton's square root method 牛顿平方根法 Newton method 【计】 牛顿法 method of approximation 近似法 approximation method 近似法,近似方法,尝试法 Gauss Newton method 高斯-牛顿法 Newto...
We introduce two methods for simultaneously approximating both branches of a two-branched function using Chebyshev polynomials. Both schemes remove the pernicious, convergence-wrecking effects of the square root singularity at the limit point where the two branches meet. The “Chebyshev–Shafer” method...
This paper presents an architecture and a synthesis method for compact numerical function generators (NFGs) for trigonometric, logarithmic, square root, reciprocal, and combinations of these functions. Our NFG partitions a given domain of the function into non-uniform segments using an LUT cascade, ...