J4 ›› 2012, Vol. 47 ›› Issue (10): 34-37.

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E-singular values of a real partially symmetric rectangular tensor

ZHAO Na   

  1. Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, China
  • Received:2011-09-12 Online:2012-11-20 Published:2012-10-26

Abstract:

The E-singular values of rectangular tensors are introduced, the properties of E-eigenvalues of real symmetric square tensors are generalized to the E-singular values of real partially symmetric rectangular tensors, and the orthogonal similarity of rectangular tensors is investigated.

Key words: rectangular tensor; singular value; positive definite; orthogonal similarity

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