根據(jù)塊對角占優(yōu)和廣義塊對角占優(yōu)矩陣的概念，在原有點H矩陣的基礎(chǔ)上，應(yīng)用分塊技術(shù)，研究給出了分塊廣義對角占優(yōu)矩陣的一個簡捷實用的充分條件和一個必要條件，推廣了相應(yīng)文獻的結(jié)果，進一步補充和完善了塊對角占優(yōu)矩陣的理論。
關(guān) 鍵 詞 對角占優(yōu); 分塊對角占優(yōu); 范數(shù); 置換矩陣

Abstract In this paper, according to the concepts of block diagonal dominance and generalize diagonal dominance, a new simple criterion for nonsingular block generalize diagonal dominant matrices (i.e. block H-matrices)are obtained by making use of the norm of submatrices of a given matrix only. Advantages are illustrated by numerical examples. And a necessary condition for nonsingular block H-matrices is also presented.These results generalize the corresponding results in this area, and make a nodest contribution to this area.
Key words diagonal dominance; block diagonal dominance; norm; permutation matrix