Open AccessViète's formula in "A Fractal Eigenvector"
Author(s) -
R. Clark Robinson
Publication year - 2021
Publication title -
maple transactions
Language(s) - English
Resource type - Journals
ISSN - 2564-3029
DOI - 10.5206/mt.v1i2.14367
Subject(s) - mandelbrot set , eigenvalues and eigenvectors , fractal , mathematics , element (criminal law) , pure mathematics , mathematical analysis , physics , law , political science , quantum mechanics
This paper explores a relationship of the asymptotic behavior ofthe leading element of eigenvectors belonging to the dominant eigenvalueof a recursively-constructed family of Mandelbrot matrices toViète's formula, helping to explain the appearance of π in thiselement.