A sufficient condition for nonvanishing of determinants

1974/01/01 by P. N. Shivakumar, Kim Ho Chew · 112 citations
Computer Science · Mathematics · #Advanced Topics in Algebra #Diagonal #Diagonally dominant matrix #Geometry #Graph theory and applications #Invertible matrix #Materials science #Mathematical economics #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Pure mathematics

paper · doi:10.1090/s0002-9939-1974-0332820-0

published in Proceedings of the American Mathematical Society 43(1), 63 (American Mathematical Society)

openalex publication_date 1974/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

In this note we derive sufficient conditions for a diagonally dominant reducible matrix to be nonsingular.

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