多元线性递归序列收敛的条件 |
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引用本文: | 陈刚,林金官.多元线性递归序列收敛的条件[J].南通大学学报(自然科学版),2014(4):82-84. |
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作者姓名: | 陈刚 林金官 |
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作者单位: | 南通职业大学基础课部;东南大学数学系 |
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基金项目: | 江苏省自然科学基金项目(BK20141326);2012年度教育部高等学校博士学科点专项科研基金(博导类)资助课题(20120092110021);江苏省高等教育教学改革研究课题重点项目(2011JSJG085) |
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摘 要: | 将二元变系数线性递归序列收敛条件的结论推广到一般的多元情形.特别地,运用由Jordan子块构成的分块对角矩阵及其性质,证明了在允许重置初始值的情况下,多元变系数线性递归序列收敛的必要条件.
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关 键 词: | 多元线性递归方程 收敛条件 特征值 Jordan块 对角矩阵 |
Conditions for the Convergence of Multivariate Linear Recurrent Sequence |
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Authors: | CHEN Gang;LIN Jinguan |
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Institution: | CHEN Gang;LIN Jinguan;Department of Basic Courses, Nantong Vocational University;Department of Mathematics, Southeast University; |
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Abstract: | The conditions of the convergence of binary linear recurrent sequence to the multivariate case were generalized. In particular, the necessity of the convergence condition when the initial value is allowed to reset was proved by using Jordan canonical forms and its properties. |
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Keywords: | multivariate linear recursive sequence convergence condition eigenvalue Jordan block diagonal matrix |
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