2010Journal of Liuzhou Vocational & Technical CollegeRequires access

On Generalized Linear Dependence of Generalized Eigenvectors

Dalin Li

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Abstract

In this paper we study the generalized eigenvectors for a defective complex matrix.We give the concepts of generalized linear dependence and generalized linear independence for a set of generalized eigenvectors by the chain of generalized Eigen spaces.With these concepts,we can express the complexity of computation of Jordan chains easily.

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What this paper is about

In this paper we study the generalized eigenvectors for a defective complex matrix.We give the concepts of generalized linear dependence and generalized linear independence for a set of generalized eigenvectors by the chain of generalized Eigen spaces.With these concepts,we can express the complexity of computation of Jordan chains easily.

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Available abstract

In this paper we study the generalized eigenvectors for a defective complex matrix.We give the concepts of generalized linear dependence and generalized linear independence for a set of generalized eigenvectors by the chain of generalized Eigen spaces.With these concepts,we can express the complexity of computation of Jordan chains easily.

Key concepts: Defective matrix, Eigenvalues and eigenvectors, Generalized linear array model, Mathematics, Generalized eigenvector, Generalized linear model, Modal matrix, Independence (probability theory)

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