Abstract: The condition numbers usually used with respect to inversion for matrix possess some defects. Firstly, the evaluations of these condition numbers require calculating inverses or generalized inverses or singular values of the matrix, causing great cost. Secondly, the error estimates of perturbation solutions are often too high because of the use of these numbers.In this article, several new condition numbers are suggested, which can not only overcome the defects mentioned above, but also possess the same properties as the spectral condition number, and moreover, reflect the distribution of spectral points to some extent.