Let A=(aij)∈C n×n

si=max∑j≠i|aij|

∑j≠i|aji| and ai=|aii|(i=1

2

…

n). Every singular value of A is proved to be in the union: ∪i≠jz≥0:|z-ai||z-aj|≤sisj. It is shown that a Brauer type singular value estimate formula need not hold.