IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Do These Cholesky Roots Make My Matrix Look Fat?

  • March 2, 2018
  • 2:30 p.m.
  • LeConte 312

Abstract

In the wonderful world of binary matrices over GF(2) it is known that full-rank matrices have at most one Cholesky factorization. In this talk we enumerate the number of Cholesky factorizations of less-than-full-rank matrices over GF(2) by showing an interesting bijection between them and a certain subgroup of matrices over GF(2) - no spoilers given... We conclude the presentation by allowing the audience to choose a better title for future presentations. Joint work with Joshua Cooper XL.

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