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计算数学  2000 

ON THE CONSTRUCTION OF A JACOBI MATRIX FROM ITS DEFECTIVE EIGEN-PAIR AND A PRINCIPAL SUBMATRIX
由主子阵和缺损特征对构造Jacobi矩阵

Keywords: Jacobi matrix,principal submatrix,defective eigen-pair
Jacobi矩阵
,主子阵,缺损特征对,数值算法

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Abstract:

This paper considers the problem of constructing a Jacobi matrix from its defec tive eigen-pair and a principal submatrix. Some necessary and sufficient conditions of solvability have been derived. An algorithm and two numerical examples have been given.

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