A cellation of the Grassmann manifold

被引:0
|
作者
Eaves, BC
Schmedders, KH [1 ]
机构
[1] Stanford Univ, Hoover Inst, Stanford, CA 94305 USA
[2] Stanford Univ, Dept EES & OR, Stanford, CA 94305 USA
关键词
Grassmann manifold; covering; cellation; equilibria in incomplete asset markets;
D O I
暂无
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
Motivated by the computation of equilibria in economic models with incomplete asset markets, a cellation of the Grassmann manifold is constructed by restricting a common atlas. The Grassmann manifold of m-planes in n-dimensional space is shown to be a union of n choose m congruent m(n - m)-dimensional topological disks whose interiors are disjoint. (C) 1998 The Mathematical Programming Society, Inc. Published by Elsevier Science B.V.
引用
收藏
页码:253 / 262
页数:10
相关论文
共 50 条
  • [31] Human action recognition by Grassmann manifold learning
    Rahimi, Sahere
    Aghagolzadeh, Ali
    Ezoji, Mehdi
    2015 9TH IRANIAN CONFERENCE ON MACHINE VISION AND IMAGE PROCESSING (MVIP), 2015, : 61 - 64
  • [32] Grassmann Manifold Flows for Stable Shape Generation
    Yataka, Ryoma
    Hirashima, Kazuki
    Shiraishi, Masashi
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 36 (NEURIPS 2023), 2023,
  • [34] Grassmann manifold bosonization of QCD in two dimensions
    Han, KH
    Shin, HJ
    JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (08) : 3988 - 3996
  • [35] SUBSPACE PROJECTION MATRIX COMPLETION ON GRASSMANN MANIFOLD
    Shen, Xinyue
    Gu, Yuantao
    2015 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING (ICASSP), 2015, : 3297 - 3301
  • [36] Representing the space of linear programs as the Grassmann manifold
    Zhao, Gongyun
    MATHEMATICAL PROGRAMMING, 2010, 121 (02) : 353 - 386
  • [37] Localized LRR on Grassmann Manifold: An Extrinsic View
    Wang, Boyue
    Hu, Yongli
    Gao, Junbin
    Sun, Yanfeng
    Yin, Baocai
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY, 2018, 28 (10) : 2524 - 2536
  • [39] Representing the space of linear programs as the Grassmann manifold
    Gongyun Zhao
    Mathematical Programming, 2010, 121 : 353 - 386
  • [40] AN EFFICIENT PARTICLE FILTERING TECHNIQUE ON THE GRASSMANN MANIFOLD
    Rentmeesters, Quentin
    Absil, P. -A.
    Van Dooren, Paul
    Gallivan, Kyle
    Srivastava, Anuj
    2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2010, : 3838 - 3841