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《Numerical Mathematics A Journal of Chinese Universities》 2018-02
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BOUNDS FOR THE MINIMUM EIGENVALUE OF NONSINGULAR M-MATRIX

Zhong Qin;Zhao Chunyan;Mou Gufang;Department of Mathematics,Sichuan University Jinjiang College;College of Mathematics and Information Science, Leshan Normal University;  
Computing the bounds for the minimum eigenvalue of a nonsingular M-matrix is an important part in the theory of matrices. It is more practical value if the bounds of the minimum eigenvalue are expressed as a function of the element of a nonsingular M-matrix which is easy to calculate. New bounds for the minimum eigenvalue of a nonsingular M-matrix were obtained by constructing two convergent sequences. The method can easily and tightly get the better two-sided bounds. Numerical example is given to illustrate the effectiveness by comparing with the relevant conclusions.
【Fund】: 四川省教育厅科研项目(18ZB0364);; 四川大学锦江学院青年教师科研项目(QNJJ-2017-A09)
【CateGory Index】: O151.21
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