journal6 ›› 2001, Vol. 22 ›› Issue (2): 14-16.

• Mathematics • Previous Articles     Next Articles

Some Löwner Partial Orders for Kronecker Products and Compound Matrices of Schur Complements of Matrices


  1. ( 1. Department of Mathematics and Computer Science, Jishou University, Jishou 416000, Hunan China; 2. Department of Mathematics,Xiangtan University, Xiangtan 411105, Hunan China; 3. Dept. of Math. , Chande Normal College, Changde 415000, Hunan China)
  • Online:2001-06-15 Published:2013-01-05

Abstract: In this paper, combining generalized Schur complements of matrices with Kronecker products of matrices and compound matrices, we study some Löwner partial orders for Kronecker products and compound matrices of products of Schur complements of matrices, and obtain an inequality for singular values of Kronecker products of matrices, thus improve recent results.

Key words: generalized Schur complement of matrix, Kronecker product, compound matrix;Löwner partial order;singular value

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