On the nonsingularity of complex matrices

Paul Camion and Alan Jerome Hoffman

Vol. 17 (1966), No. 2, 211–214

DOI: 10.2140/pjm.1966.17.211

Abstract

Let A = (a_ij) be a real square matrix of order n with nonnegative entries, and let M(A) be the class of all complex matrices B = (b_ij) of order n such that, for all i,j, |b_ij| = a_ij. If every matrix in M(A) is nonsingular, we say M(A) is regular, and it is the purpose of this note to investigate conditions under which M(A) is regular.

Mathematical Subject Classification

Primary: 15.05

Milestones

Received: 29 June 1964

Published: 1 May 1966