Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix
Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix
Abstract Let A and B be nonsingular M -matrices. Some new lower bounds on the minimum eigenvalue <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> <mml:mo>(</mml:mo> <mml:mi>A</mml:mi> <mml:mo>∘</mml:mo> <mml:msup> <mml:mi>B</mml:mi> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:mo>)</mml:mo> </mml:math> for the Hadamard product of A and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>B</mml:mi> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:math> are …