Condition Numbers Of Two Kinds Of Special Matrices

Condition number is a very important concept in the matrix theory, which has its fundamental importance on the "ill-conditioned matrix". In this paper, firstly,we give the definition, properties and some basic theorem for vector norm and matrix norm. Secondly, condition number and its some simple properties will be introduced, and we use an example to illustrate its application in researching error estimation of solution for liner equation. Finally, we discuss the bounds of condition numbers for two kinds of special triangular matrix and pair of diagonal matrix. Here, we mainly refer to the condition number in the sense of the spectral norm and Frobenius norm.