Open AccessOn the existence of degenerate trade‐off curves in Backus‐Gilbert theory
Author(s) -
Huestis S. P.
Publication year - 1990
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1990.tb04483.x
Subject(s) - degenerate energy levels , quadratic equation , point (geometry) , mathematics , mathematical analysis , geometry , physics , quantum mechanics
SUMMARY Using the quadratic delta‐criterion, conditions are derived which must hold if the Backus‐Gilbert trade‐off curve is to reduce to a single point. Two examples are given which show the existence of problems for which this occurs.