Numerical Estimates of Generalized Dimensions D_q for Negative q

Usual box counting algorithms are une cient for comput ing generalized fractal dimensions D q in the range of q In this Letter we review the properties of a new algorithm R H Riedi J Math Anal Appl speci cally devised to deal with large negative q We discuss the numer ical implementation of this algorithm providing evidence for its better performance In particular we throw some light on the structure of the H enon attractor