| With the rapid development of science and technology, matrix computations and special matrix analysis have wide applications in computational mathematics, physics, economics and biology etc. so, they been researched by mathematicians, engineers or trchnicians. Its theories in calculation, methods and its solution in equations are important and they have been indispensable in mathematicians.Eigenvalue has been greatly applied in varions and is important in matrix computations. Therefore, matrix eigenvalue estimates and the community to solve the theoretical studies are important issue of international research work in today's matrix computations and science computations and engineering fields. Some questions of science and engineering often can be attributed to a square matrix of eigenvalues and eigenvectors of the problem.With the P-matrix presented, a lot of scholars estimated eigenvalues of real matrix from the P-matrix and its subclass. In this paper,we presented two new subclass of P-matrix, SDB-matrix and SMB-matrix. Research the nature of the matrix and its relationship with a number of other subclass, such as B-matrix,DB-matrix, MB-matrix. Based on these properties, some subclass of P-matrix are used to localize the real eigenvalues of a real matrix. |
