Three Pairs Of Diagonal Matrix And P Matrices

This paper investigates the expressions of the inverse elements of tridiagonal matrices and the characteristics of P matrices, LCP and some related special matrices. The thesis consists of five chapters.In chapter 1, backgrounds and the results made by home and abroad of the subject are stated; and the problems to be solved in this thesis are presented.In chapter 2, we study the expressions of the inverse elements of tridiagonal matrices. Through a simpler method , we get the same result of [1, J. Engi. Math., (21)2004, 48-51].In chapter 3, some new properties of fundamental quantities associated with a P-matrix are developed. The global lower error bound for the vertical linear complementarity problem is obtained and the global upper error bound for the horizontal linear complementarity problem which was given by [2, Appl. Math. Lett. 15(2002), 41-46] is improved.In chapter 4, the conclusion is made, and the meaning, the purpose and the contents of the paper are stated.