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Complex polynomials for the computation of 2D gravity anomalies

✍ Scribed by Sergio E. Oliva; Claudia L. Ravazzoli

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
746 KB
Volume
45
Category
Article
ISSN
0016-8025

No coin nor oath required. For personal study only.

✦ Synopsis

We present an efficient algorithm using a complex variables formulation for the computation of the gravity effect of 2D polygonal bodies having densities varying both laterally and with depth. The first derivatives of the gravity effect are also provided in order to enable the computation of the Jacobian matrix, which is necessary for linear inverse gravity problems. A geophysical example based on numerical assumptions about the density contrast on a well‐studied basin area shows the applicability of the algorithm.

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A parallel algorithm is developed for the f i t time based on Frame's method to compute the characteristic polynomials of chemical graphs. This algorithm can handle all types of graphs: ordinary, weighted, directed, and signed. Our algorithm takes only linear time in the CRCW PRAM model with O(n9) p