Abstract By using $k$-partition of matrices index set and the spectral radius for its sub-matrices, some new determinant conditions for generalized $H$-matrices under positive definite matrix conditions were presented. When a block matrix reduces a point matrix, these conditions then become the sufficient conditions for nonsingular $H$-matrices, and improve some recent related results. Numerical examples are given to show the effectiveness of the corresponding results.
Received: 25 January 2015
Published: 07 April 2018
CUI Jing-jing, PENG Guo-hua, LU Quan, XU Zhong. A set of new determinate conditions for generalized $H$-matrices. Applied Mathematics A Journal of Chinese Universities, 2017, 32(3): 361-370.
