JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (12): 81-86.doi: 10.6040/j.issn.1671-9352.0.2014.159

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Generalized singular value decompositions with respect to Semi-definite inner product

ZHENG Chan, LI Han-yu   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2014-04-14 Revised:2014-11-07 Online:2014-12-20 Published:2014-12-20

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Abstract: The generalized inverses of matrices were used to study the weighted singular value decomposition with one of the weight matrices being positive semi-definite and the other being positive definite. Some conditions for the existence of the generalized singular value decompositions with respect to a semi-definite inner product were also presented.

Key words: semi-definite, weighted, singular value decomposition, semi-definite inner product, generalized inverse of matrix

CLC Number: 

  • O151
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