Two properties of M-matrices

DOI10.1016/0024-3795(79)90126-5zbMath0439.15011OpenAlexW2011933702MaRDI QIDQ1142264

Thomas L. Markham

Publication date: 1979

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(79)90126-5

zbMATH Keywords

nonsingular M-matrixlower triangular matrixdeterminental inequalities

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Some properties on Schur complements of H-matrices and diagonally dominant matrices, Some results on the Bergstrom and Minkowski inequalities, Analog of the minkowski inequality for the difference of twoM-matrices^∗, Multilinear functional inequalities involving permanents, determinants, and other multilinear functions of nonnegative matrices and \(M\)-matrices, Nonnegative matrices with power invariant zero patterns, On powers of nonnegative matrices, Inverse M-matrices, On Markham's M-matrix properties

Cites Work

• M-matrix characterizations. I: nonsingular M-matrices
• Bounds for determinants with dominant main diagonal