摘要
@1 Definition 1 Let A=(α<sub>ij</sub>)∈C<sup>n×n</sup>,B=(b<sub>ij</sub>)∈C<sup>n×n</sup>,is nonsingular.The generalizedsingular values of A(relative to B)are following determinate nonnegative real numberswhen ||·||<sub>2</sub> denotes the Euclid vector norm,〈n〉={1,2,…,n}.Definition 2 Let A,B∈C<sup>n×n</sup>,if there exist λ∈C and x∈C<sup>n</sup>\{0}。