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Issue:
Convergence of a Class of Matrix Continued Fractions Based on the Generalized Inverse
Author(s):
ZHAO Huanxi
,
ZHU Gongqin
Pages:
412
-
416
Year:
2002
Issue:
4
Journal:
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA
Keyword:
矩阵值连分式
;
收敛定理
;
矩阵广义逆
;
Abstract:
讨论了一类基于Samelson逆的正矩阵值连分式的收敛性,建立了一种所谓的矩阵连分式的向后三项递推关系式,并利用此关系式研究了这种矩阵值连分式的渐近分式的性质以及给出了收敛的一些充分条件,它们中的一些结果甚至是数量连分式的相应结果的准确推广及改进.
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