矩阵的秩与非零特征值个数差的确定
구진적질여비령특정치개수차적학정
Determination of Difference between the Rank and the Number of Non-zero Eigenvalues of a Matrix
  • 万方数据
    吉林大学学报（理学版） 길림대학학보（이학판）
    JOURNAL OF JILIN UNIVERSITY(SCIENCE EDITION)
    2014年 6期 1210-1214 ,共5页

    吕洪斌%杨忠鹏%冯晓霞%陈梅香%梁小春

    려홍빈%양충붕%풍효하%진매향%량소춘

    矩阵秩%矩阵方幂%矩阵指数%幂零矩阵 矩陣秩%矩陣方冪%矩陣指數%冪零矩陣
    구진질%구진방멱%구진지수%멱령구진
    rank of a matrix%matrix power%matrix index%nilpotent matrix
    以矩阵的 Jordan 标准形为工具，给出了用矩阵方幂的秩表示的矩阵的秩和非零特征值个数差的确定方法，其结果不依赖于矩阵的 Jordan 标准形。
    이구진적 Jordan 표준형위공구，급출료용구진방멱적질표시적구진적질화비령특정치개수차적학정방법，기결과불의뢰우구진적 Jordan 표준형。
    Taking the Jordan canonical form as a basic tool,we showed the determination method of the difference between the rank of matrix’s power and the number of non-zero eigenvalues,with its result independent of the Jordan canonical form.
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