| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601813 | Linear Algebra and its Applications | 2011 | 12 Pages |
Abstract
Which collections of mn minors of an m-by-n matrix uniquely determine the matrix, given some regularity conditions? For m=n=3, the 585 such collections, that are distinct up to symmetry, are determined. For general m, n, a necessary and a sufficient condition for reconstruction are given in terms of matchings in a bipartite graph. Among other particular results, those collections of entries for which there are minors that permit reconstruction one entry at a time are characterized.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
