Open AccessLaplace Transform Inversion of Rational Functions
Author(s) -
Longman I. M.,
Sharir M.
Publication year - 1971
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1971.tb02341.x
Subject(s) - inversion (geology) , laplace transform , computation , post's inversion formula , rational function , inverse laplace transform , mathematics , inverse theory , algorithm , calculus (dental) , computer science , geophysics , mathematical analysis , geology , seismology , green's function for the three variable laplace equation , telecommunications , medicine , dentistry , surface wave , tectonics
Summary In previous papers the first author has demonstrated the application of rational approximations to Laplace transform inversion in theoretical seismic problems. One of the difficulties in the use of rational approximations is the computation of the roots (usually complex) of the denominator in order to effect the inversion. Calculation of the roots of a high‐order polynomial can be very time‐consuming even when a large computer is available. The present paper demonstrates a method for performing the inversion without calculating these roots.