纺织高校基础科学学报
紡織高校基礎科學學報
방직고교기출과학학보
BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES
2013年
3期
318-322
,共5页
非负矩阵%级数收敛性%布尔矩阵%函数矩阵%反常积分
非負矩陣%級數收斂性%佈爾矩陣%函數矩陣%反常積分
비부구진%급수수렴성%포이구진%함수구진%반상적분
nonnegative matrices%convergence of series%Boolean matrix%function matrix%improper in-tegral
为判断非负矩阵级数收敛性，通过类比非负矩阵级数与正数项级数的一些性质，证明了非负矩阵级数的M判别法、比较原则、比较判别法定理及推论。证明了可以通过布尔矩阵和函数矩阵的反常积分判别非负矩阵级数的收敛性。
為判斷非負矩陣級數收斂性，通過類比非負矩陣級數與正數項級數的一些性質，證明瞭非負矩陣級數的M判彆法、比較原則、比較判彆法定理及推論。證明瞭可以通過佈爾矩陣和函數矩陣的反常積分判彆非負矩陣級數的收斂性。
위판단비부구진급수수렴성，통과류비비부구진급수여정수항급수적일사성질，증명료비부구진급수적M판별법、비교원칙、비교판별법정리급추론。증명료가이통과포이구진화함수구진적반상적분판별비부구진급수적수렴성。
For judging the convergence of the nonnegative matrix series ,by analogy properties of the non-negative matrix series and the positive terms series ,theorems and deductions of M discriminant method , comparison principle and the comparison test were proved .And it was proved that Boolean matrix and the matrix of anomalous integral could be used to judge the convergence of the series of nonnegative ma-t rix .
