摘要
1 Introduction and PreliminariesIt is well known that the smallest singular value of a matrix is important in matrixthoery and applications.Varah and Qi,Johnson gave some results on lower bound of thesmallest singular value[1—4].Here,we use the block partitioned form of a matrix to ob-tain generalized lower bounds for σ<sub>n</sub>（A）.Furthermore,by scaling with a matrix D we ob-tain a new lower bound for σ<sub>A</sub> of matrices which are not positive definite matrices.
基金
This work is supported by YSF of Shanxi province
