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方阵高次幂的几种解法
引用本文:王汉斌.方阵高次幂的几种解法[J].安庆师范学院学报(自然科学版),2008,14(4).
作者姓名:王汉斌
作者单位:西安翻译学院信息工程学院,陕西西安,710105
摘    要:方阵高次幂在高等代数题解、矩阵稳定性讨论及预测、控制等方面有着广泛的应用,但它的求解一般都比较困难,虽然它的运算规律遵循矩阵乘法的规律,但是由于它相乘的次数较多,其计算量往往很大且复杂多变,在此给出方阵高次幂的几种解法。

关 键 词:方阵  高次幂  数量矩阵  幂零矩阵  对角化

Several Kinds of Solutions about the High-power of Square Matrix
WANG Han-bin.Several Kinds of Solutions about the High-power of Square Matrix[J].Journal of Anqing Teachers College(Natural Science Edition),2008,14(4).
Authors:WANG Han-bin
Institution:WANG Han-bin(College of Information Engineering,Xi'an FanYi University,Xi'an 710105,China)
Abstract:High-power of square matrix in advanced algebra exercise problem,the matrix stability of the discussion and forecasts,control and so on,have a wide range of applications.But the problem how to solve is quite generally difficult,although its operation rule follows the matrix multiplication the rule.Beacuse of the large number of multiplication,the quantity of calculation is often very big,complex and various.Some kinds of solutions about the high-power of square matrix be given.
Keywords:square matrix  high-power  the number of matrix  nilpotent matrix  diagonalization  
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