{"id":1142,"date":"2017-06-08T11:30:28","date_gmt":"2017-06-08T09:30:28","guid":{"rendered":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/?page_id=1142"},"modified":"2017-06-08T11:55:41","modified_gmt":"2017-06-08T09:55:41","slug":"talk-wolfgang-hackbusch","status":"publish","type":"page","link":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/talk-wolfgang-hackbusch\/","title":{"rendered":"Wolfgang Hackbusch"},"content":{"rendered":"<h2>On the Representation of (Anti-)Symetric Tensors<\/h2>\n<p>In various applications symmetric or antisymmetric tensors are of interest. While there are very efficient representation schemes for general tensors, tensor formats for (anti-)symmetric tensors are more involved. We discuss the indirect and direct use of the canonical format and study the properties of the hierarchical format (TT). The difficulty in constructing a suitable sequence of subspaces are the implicit relations. If the minimal subspaces are known these are the perfect choices. However, if one selects a smaller subspace it may happen that only the zero tensor can be represented. The existence of nontrivial (anti-)symmetric tensors can be characterised by an algebraic criterion.<\/p>\n<p><a href=\"program\">Back to program<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>On the Representation of (Anti-)Symetric Tensors In various applications symmetric or antisymmetric tensors are of interest. While there are very efficient representation schemes for general tensors, tensor formats for (anti-)symmetric [&hellip;]<\/p>\n","protected":false},"author":1060,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"c2c_always_allow_admin_comments":false,"footnotes":""},"class_list":["post-1142","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/pages\/1142","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/users\/1060"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/comments?post=1142"}],"version-history":[{"count":3,"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/pages\/1142\/revisions"}],"predecessor-version":[{"id":1164,"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/pages\/1142\/revisions\/1164"}],"wp:attachment":[{"href":"https:\/\/blog.rwth-aachen.de\/ac-ces-2017\/wp-json\/wp\/v2\/media?parent=1142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}