To estimate the determinant of a matrix is a hot issue in numerical algebra.The class of H-matrices has a wide range of applications in many fields such as computational mathematics,control theory.In this paper,the estimations for determinants of Dashnic-Zusmanovich type matrices are studied.For a Dashnic-Zusmanovich type matrix,we transform it into a diagonally dominant matrix by using scaling matrices.Then we obtain the upper and lower bounds for the determinant of the Dashnic-Zusmanovich type matrix.Numerical examples are given to illustrate the effectiveness of the proposed results.
关键词
非奇异H-矩阵/Dashnic-Zusmanovich型矩阵/行列式
Key words
Nonsingular H-matrix/Dashnic-Zusmanovich type matrix/Determinant
万方数据