有界线性算子非负分裂的比较(英文)  

Comparisons for Nonnegative Splittings of Bounded Linear Operators

作　　者：宋永忠[1] 

机构地区：[1]南京师范大学数学系,南京210097

出　　处：《应用数学》1999年第4期137-142,共6页Mathematica Applicata

摘　　要：本文研究有界线性算子非负分裂的比较，建立了若干比较定理，给出了保证两个迭代算子的谱半径间严格不等式成立的一些充分条件．这些结论蕴涵并推广了ＭａｒｅｋComparison theorems for nonnegative splittings of bounded linear operators are presented. Hypotheses ensuring strict inequality between two spectral radii of iteration operators are also given. These theorems imply and extend the comparison theorems by Marek and Szyld.

关 键 词：线性算子 非负分裂 有界算子 谱半径 

分 类 号：O177.3[理学—数学]