Computing zeros of sections of vector bundles using homotopies and relocalization

被引:11
作者
Brown, DJ
Demarzo, PM
Eaves, BC
机构
[1] STANFORD UNIV,HOOVER INST,STANFORD,CA 94305
[2] NORTHWESTERN UNIV,KELLOGG SCH MANAGEMENT,EVANSTON,IL 60208
[3] STANFORD UNIV,DEPT OPERAT RES,STANFORD,CA 94305
关键词
Grassmannian; manifolds; smooth; homotopies; solving equations; vector bundles; incomplete markets;
D O I
10.1287/moor.21.1.26
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
An algorithm is described for computing fixed points on a Grassmannian manifold. The method can be applied in the more general setting of solving equations on abstract smooth manifolds into vector bundles. This development is part of a project to compute economic equilibria in the presence of incomplete markets.
引用
收藏
页码:26 / 43
页数:18
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