Continuous Networks I

  • E. W. Grafarend
  • F. W. Krumm
Conference paper

Summary

Criterion matrices/ideal variance — covariance matrices are constructed from continuous networks being observed by signal derivatives of first and second order. The method of constrained least- squares leads to differential equations up to fourth order, to characteristic boundary values and constraints according to the datum choice. Here only onedimensional networks on a line and on a circle are discussed. Their characteristic (modified) Green function is constructed and used for the computation of the variance — covariance function of adjusted mean signal functions. Finally numerical aspects originating fm the discrete nature of real observational series are discussed. In detail, the transformation of a criterion matrix into a network datum and its comparison with the variance — covariance matrix of an ideally configurated network is presented.

Keywords

Covariance Geophysics 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • E. W. Grafarend
  • F. W. Krumm

There are no affiliations available

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