Computing the Lambert \(W\) function in arbitrary-precision complex interval arithmetic
From MaRDI portal
Publication:2287862
DOI10.1007/s11075-019-00678-xzbMath1477.65047arXiv1705.03266OpenAlexW2612155278MaRDI QIDQ2287862
Publication date: 22 January 2020
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03266
error analysisinterval arithmeticspecial functionsLambert \(W\) functioncomplex arithmeticarbitrary-precision arithmetic
Interval and finite arithmetic (65G30) Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05)
Related Items (6)
The Faddeev-LeVerrier algorithm and the Pfaffian ⋮ Guaranteed- and high-precision evaluation of the Lambert \(\mathrm{W}\) function ⋮ Solutions of neutral delay differential equations using a generalized Lambert \(W\) function ⋮ The Lambert function method in qualitative analysis of fractional delay differential equations ⋮ Asymptotic estimation for eigenvalues in the exponential potential and for zeros of \(K_{\mathrm{i}\nu} (z)\) with respect to order ⋮ PSEM approximations for both branches of Lambert \(W\) function with applications
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- On the Lambert \(w\) function
- Precise and fast computation of Lambert \(W\)-functions without transcendental function evaluations
- Algorithm 917
- Real values of the W -function
- Fast evaluation of elementary mathematical functions with correctly rounded last bit
- Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
- Numerical evaluation of the Lambert W function and application to generation of generalized Gaussian noise with exponent 1/2
This page was built for publication: Computing the Lambert \(W\) function in arbitrary-precision complex interval arithmetic
