Golden ratio in science, as random sequence source, its computation and beyond

DOI10.1016/j.camwa.2007.06.030zbMath1155.11312OpenAlexW2009037765MaRDI QIDQ1004690

Ravi P. Agarwal, Syamal K. Sen

Publication date: 12 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.06.030

zbMATH Keywords

Monte Carlo integrationgolden ratiorandom sequencepiMATLAB variable precision arithmetic

Mathematics Subject Classification ID

Special sequences and polynomials (11B83)

Related Items (8)

A class of special hypersurfaces in real space forms ⋮ Generalized golden ratios defined by means ⋮ A Fibonacci-polynomial based coding method with error detection and correction ⋮ Golden ratio versus pi as random sequence sources for Monte Carlo integration ⋮ GOLDEN- AND PRODUCT-SHAPED HYPERSURFACES IN REAL SPACE FORMS ⋮ Numerical results on some generalized random Fibonacci sequences ⋮ The classification of golden shaped hypersurfaces in Lorentz space forms ⋮ Shrinkage points of golden rectangle, Fibonacci spirals, and golden spirals

Uses Software

• Matlab

Cites Work

• Computational error and complexity in science and engineering
• \(2^n\) in scientific computation and beyond
• Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi
• Arithmetic Algorithms in a Negative Base
• Deterministic Division Algorithm in a Negative Base
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