Two Hadamard numbers for matrices

  • Authors:

  • Garrett Birkhoff

  • Affiliations:

  • Harvard Univ., Cambridge, MA

  • Venue:
  • Communications of the ACM
  • Year:
  • 1975

Quantified Score

Hi-index 48.22

Visualization

Abstract

A discussion is given of two functions of the entries of a square matrix, both related to Hadamard's determinant theorem, which have some merits as alternatives to norm-bound “condition numbers.” One (for linear systems) is known; the other (for eigensystems) seems to be new.