Spectral Inclusion Regions Of Partitioned Matrices And Inclusion Regions Of Inhomogeneous Eigenvalue

With the rapid development of science and technology,matrix theory not only is an important branch of mathematics,but also is a significant tool which can deal with lots of finite dimension forms and quantitative relations in some technological fields.In the first part of this paper,we further improved and generalized some results of partitioned matrices on the basis of many available achievements,and gave the Cassini-type spectral inclusion regions of partitioned matrices and the application of new criteria for a matrix to be a H-matrix.In the second part,we gave the theorem of inhomogeneous spectral inclusion regions of partitioned matrices,so some relevant researches have been improved in this field.