块矩阵谱半径的估计(英文)

Estimation for the Spectral Radius of Block Matrices

研究了块矩阵A=(Aij)与矩阵B=(bij),bij={||Aij-1||-1,i=j,||Aij||,i≠j,的谱半径的关系,证明了ρ(A)≤ρ(B),其中ρ(A),ρ(B)分别是它们的谱半径.特别是,若A是块H-矩阵,则ρ(A)≤maxi{2||Aii-1||-1.}

After study the relationship between the block matrix A=（Aij）,B=（bij）,bij={｜｜Aij-1｜｜-1,i=j,｜｜Aij｜｜,i=j,Aij,i≠j,where ρ（A）,ρ（B）denotes the spectral radius;especially,if A is a block H-matrix,then ρ（A）≤maxi{2｜｜Aii-1｜｜-1.}