| 非首一矩阵多项式的解 |
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| 引用本文： | Edgar Pereira. 非首一矩阵多项式的解[J]. 应用数学与计算数学学报, 2014, 0(4): 390-401 |
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| 作者姓名： | Edgar Pereira |
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| 作者单位： | 北里奥格兰德联邦大学数学系,纳塔尔59078—970,巴西 |
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| 摘 要： | 发展了一种关于非首一矩阵多项式解的计算理论.综述了基于特征对概念的相伴lambda矩阵的谱理论.研究了伴随型的线性化,引进了广义Vandermonde矩阵.给出了解存在的条件,并获得解的个数的估计.数值例子阐明了所提出的理论.
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| 关 键 词： | 非首一矩阵多项式 正则lambda矩阵 解 |
On solvents of nonmonic matrix polynomials |
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| Edgar Pereira. On solvents of nonmonic matrix polynomials[J]. Communication on Applied Mathematics and Computation, 2014, 0(4): 390-401 |
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| Authors: | Edgar Pereira |
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| Affiliation: | Edgar Pereira(Department of Mathematics, Universidade Federal do Rio Grande do Norte Natal 59078-970, Brazil) |
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| Abstract: | A computation theory for solvents of nonmonic matrix polynomials is developed.A survey of the spectral theory of the associated lambda matrix in terms of the concept of eigenpair is done.The Unearization in a companion form is studied,and a generalization of the Vandermonde matrix is introduced.Conditions for the existence of solvents are given,and the estimation of their number is obtained.A numerical example illustrates the presented theory. |
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| Keywords: | nonmonic matrix polynomial regular lambda-matrix solvent |
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