# The “academic trace” of the performance matrix: A mathematical synthesis of the h‐index and the integrated impact indicator (I3)

@article{Ye2014TheT, title={The “academic trace” of the performance matrix: A mathematical synthesis of the h‐index and the integrated impact indicator (I3)}, author={Fred Y. Ye and Loet Leydesdorff}, journal={Journal of the Association for Information Science and Technology}, year={2014}, volume={65} }

The h‐index provides us with 9 natural classes which can be written as a matrix of 3 vectors. The 3 vectors are: X = (X1, X2, X3) and indicates publication distribution in the h‐core, the h‐tail, and the uncited ones, respectively; Y = (Y1, Y2, Y3) denotes the citation distribution of the h‐core, the h‐tail and the so‐called “excess” citations (above the h‐threshold), respectively; and Z = (Z1, Z2, Z3) = (Y1‐X1, Y2‐X2, Y3‐X3). The matrix V = (X,Y,Z)T constructs a measure of academic performance… CONTINUE READING

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