EIGENANALYSIS APPLIED IN DIFFERENT AREAS OF AGRONOMICAL SCIENCE AND BIOTECHNOLOGY: A REVIEW
Keywords:
Eigenvalues, eigenvectores, analysis of biological diversity, stability of biorectorsAbstract
Analysis of eigenvalues or eigenanalysis is a mathematical technique, which is part of linear
algebra, and which can be applied to different branches of the science. This article, reviews two specific cases where this mathematical technique has different connotations and interpretations. In the first case, the biological diversity analysis, the three main factorial analysis were
examined: Principal component analysis, principal coordinate analysis, and correspondence analysis. All of these analyses have a similar interpretation: to show the variability of m experimental units with n traits in a Euclidean plane, where both eigenvalues and eigenvectors are
used. In the second case, in the stability of biological reactors, the eigenvalues of bioreactor state matrix were analysed to define and to interpret the bioreactor stability. This review offers a complementary reading about the use and interpretation of eigenanalysis for studies on biological
diversity and on bioreactors stability.
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