Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix

• Autorzy: Jianxing Zhao , Caili Sang
• Języki publikacji: EN

Abstrakty

EN

Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.

Słowa kluczowe

EN

M-matrix; Hadamard product; Minimum eigenvalue; Lower bounds; Sequence

Kategorie tematyczne

• 15A42: Inequalities involving eigenvalues and eigenvectors
• 15A06: Linear equations
• 15A18: Eigenvalues, singular values, and eigenvectors

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 81-88

Daty

wydano

2016-01-01

otrzymano

2015-10-26

zaakceptowano

2016-02-02

online

2016-02-13

Twórcy

autor

Jianxing Zhao

• College of Science, Guizhou Minzu University, Guiyang 550025, P.R.

autor

Caili Sang

• College of Science, Guizhou Minzu University, Guiyang 550025, P.R.

Identyfikatory

DOI

10.1515/math-2016-0008