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 es...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.展开更多
基金supported by the National Natural Science Foundation of China(No.12171323)the Natural Science Foundation of Guangxi Province(No.2023GXNSFAA026514)。
文摘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.
