吉林化工学院学报
吉林化工學院學報
길림화공학원학보
JOURNAL OF JILIN INSTITUTE OF CHEMICAL TECHNOLOGY
2012年
3期
80-84
,共5页
广义严格对角占优矩阵%非奇异矩阵%非零元素链
廣義嚴格對角佔優矩陣%非奇異矩陣%非零元素鏈
엄의엄격대각점우구진%비기이구진%비령원소련
generalized strictly diagonally dominant H-matrix%nonsingular matrix%nonzero element chain
国内外学者给出了一系列非奇异H-矩阵的实用判定条件,但许多条件本身的表现形式和计算比较复杂,使其在实际应用中不便操作。利用了非零元素链对角占优矩阵的理论,给出了引理2.2从而改进了文定理1的非奇异H-矩阵的一组实用判定条件,进而推出了文相应的结果.
國內外學者給齣瞭一繫列非奇異H-矩陣的實用判定條件,但許多條件本身的錶現形式和計算比較複雜,使其在實際應用中不便操作。利用瞭非零元素鏈對角佔優矩陣的理論,給齣瞭引理2.2從而改進瞭文定理1的非奇異H-矩陣的一組實用判定條件,進而推齣瞭文相應的結果.
국내외학자급출료일계렬비기이H-구진적실용판정조건,단허다조건본신적표현형식화계산비교복잡,사기재실제응용중불편조작。이용료비령원소련대각점우구진적이론,급출료인리2.2종이개진료문정리1적비기이H-구진적일조실용판정조건,진이추출료문상응적결과.
Series of criteria for a matrix to be Nonsingular H-matrix have been given by many scholars.But the operation is inconvenient in practical application due to the complexity of the forms and calculations of many conditions themselves.Based on the theory of nonzero elements chain diagonally dominant H-matrix,this paper gives the lemma 2.2 to thereby improve a set of practical criteria condition of non singular matrix in the theorem1 of Reference,and then introduces the corresponding results of Reference