Geodesic
An angle metric through the notion of Grassmann representative
The electronic journal of linear algebra, Tome 18 (2009), pp. 108-116.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The present paper has two main goals. Firstly, to introduce different metric topologies on the pencils ( F, G) associated with autonomous singular (or regular) linear differential or difference systems. Secondly, to establish a new angle metric which is described by decomposable multi-vectors called Grassmann representatives (or Pl$\ddot $ucker coordinates) of the corresponding subspaces. A unified framework is provided by connecting the new results to known ones, thus aiding in the deeper understanding of various structural aspects of matrix pencils in system theory.
Classification : 15A75, 15A72, 32F45, 14M15
Keywords: angle metric, Grassmann manifold, Grassmann representative, pl$\ddot $ucker coordinates, exterior algebra 
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     author = {Kalogeropoulos, Grigoris I. and Karageorgos, Athanasios D. and Pantelous, Athanasios A.},
     title = {An angle metric through the notion of {Grassmann} representative},
     journal = {The electronic journal of linear algebra},
     pages = {108--116},
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     year = {2009},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2009__18__a48/}
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Kalogeropoulos, Grigoris I.; Karageorgos, Athanasios D.; Pantelous, Athanasios A. An angle metric through the notion of Grassmann representative. The electronic journal of linear algebra, Tome 18 (2009), pp. 108-116. http://geodesic.mathdoc.fr/item/ELA_2009__18__a48/