Journal Article10.1145/1916461.1916470
Algorithm 911: Multiple-Precision Exponential Integral and Related Functions
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TL;DR: This article describes a collection of Fortran-95 routines for evaluating the exponential integral function, error function, sine and cosine Integrals, Fresnel integrals, Bessel functions, and related mathematical special functions using the FM multiple-precision arithmetic package.
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Abstract: This article describes a collection of Fortran-95 routines for evaluating the exponential integral function, error function, sine and cosine integrals, Fresnel integrals, Bessel functions, and related mathematical special functions using the FM multiple-precision arithmetic package.
read more
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Citations
G1 fitting with clothoids
Enrico Bertolazzi,Marco Frego +1 more
TL;DR: In this article, the Hermite G1 interpolation with a clothoid curve is solved by computing the zeros of a single nonlinear function in one variable, and then the location of the relevant zero is tackled analytically: the interval containing the zero where the solution is proved to exist and to be unique.
87
Fast and accurate clothoid fitting
Enrico Bertolazzi,Marco Frego +1 more
TL;DR: In this paper, an effective solution to the problem of Hermite $G^1$ interpolation with a clothoid curve is provided, where a simple strategy, together with the use of a good and simple guess function, permits to solve the single nonlinear equation with a few iterations of the Newton-Raphson method.
25
Fast and accurate $G^1$ fitting of clothoid curves
Enrico Bertolazzi,Marco Frego +1 more
TL;DR: In this paper, the Hermite interpolation with a clothoid curve is considered and a simple algorithm is presented for efficient computation of the asymptotic expansion, which is necessary when the solution of the interpolation problem is close to a straight line or arc of circle.
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•Dissertation
Numerical Methods for Optimal Control Problems with Application to Autonomous Vehicles
Marco Frego
- 07 Apr 2014
TL;DR: The present algorithm is proved to work better than state of the art algorithms in terms of both efficiency and precision.
9
ALRT-based energy detection using uniform noise distribution
Kezhi Wang,Yunfei Chen,Jiming Chen +2 more
- 25 Jun 2016
TL;DR: Three novel detectors based on uniformly distributed noise uncertainty as the worst-case scenario are proposed andumerical results show that the new detectors outperform the conventional energy detector with considerable performance gains.
5
References
Multiprecision Translation and Execution of Fortran Programs
David H. Bailey
- 01 Jan 1993
TL;DR: A package of Fortran subroutines that perform a variety of arithmetic operations and transcendental functions on floating point numbers of arbitrarily high precision and a translator program, which facilitates the conversion of ordinary Fortran programs to use this package.
•Book
The Complexity of computational problem solving
R. S Anderssen,Richard P. Brent +1 more
- 01 Jan 1976
Algorithm 719: Multiprecision translation and execution of FORTRAN programs
TL;DR: A package of Fortran subroutines that perform a variety of arithmetic operations and transcendental functions on floating point numbers of arbitrarily high precision and a translator program, which facilitates the conversion of ordinary Fortran programs to use this package.