Schubert Varieties and Distances between Subspaces of Different Dimensions
نویسندگان
چکیده
منابع مشابه
Schubert Varieties and Distances between Subspaces of Different Dimensions
We resolve a basic problem on subspace distances that often arises in applications: How can the usual Grassmann distance between equidimensional subspaces be extended to subspaces of different dimensions? We show that a natural solution is given by the distance of a point to a Schubert variety within the Grassmannian. This distance reduces to the Grassmann distance when the subspaces are equidi...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2016
ISSN: 0895-4798,1095-7162
DOI: 10.1137/15m1054201