A note on the eigenvalue - eigenvector problem: application to the gravitational gradient tensor*

Department of Geodesy, Institute of Geodesy, Lviv Polytechnic National University

In the paper a general analytical solution to the problem of finding eigenvalues is considered
and eigenvectors of the second-order symmetric tensor. Their accuracy estimation is performed
on the basis of the rule of strict transformation of covariants. The solving is illustrated by the example of finding the eigenvalues and eigenvectors of the gravitational gradient tensor

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