A strata of normal matrices
Keywords:
star-shaped, stratified submanifold, normal matrix
Abstract
A strata for normal matrices is presented in this article. This requires aspects from three branches of mathematics: Differential geometry, differential topology and matrix theory. The first one studies geometrical aspects of mathematical analysis. The second one studies topology aspects of the first one, and the third branch faces the study of matrices from diverse mathematical contexts. First of all, the definition of a stratified space is employed as a useful technique that allows us to characterize normal matrices in a certain way. More specifically, matrices with a connected stratified submanifold of i 2n^2.; will be treated. In order to stratify normal matrices, the notion of topologic-differential stratum will be employed. This will require some elements of differential geometry.Downloads
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References
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How to Cite
Gómez Plata, A. R. (2005). A strata of normal matrices. Ciencia E Ingenieria Neogranadina, 15, 6–11. https://doi.org/10.18359/rcin.1494
