Tensor representation of vectorial errors

Abstract

In the theory of vectorial errors there are some operations with. directional errors, such as the addition of vectorial errors, the addition of elliptic errors, the addition of elliptic and vectorial errors, and the decomposition of vectorial errors. These issues are developed and detailed by N. G. Kell in his work “Graphical Method in Operations with Errors and Positions”. The author performs operations with directional errors by means of the values R and r the arithmetic and geometric elements of the error ellipse. These operations have the character of special rules. From the perspective of tensor algebra the solution of these questions is reduced to some simplest operations of tensor algebra.

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