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矩阵块Kronecker积的性质及一些不等式 被引量:4

Properties of Matrix Block Kronecker Products and Some Inequalities
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摘要 给出了块Kronecker积与Kronecker积的关系A□×B=RTnp(AB)Rmq,其中Rnp,Rmq为部分置换矩阵,并得到关于部分置换矩阵R的几个性质。然后利用这关系得到一些关于块Kronecker积的矩阵不等式。 Block Kronecker and Kronecker products of two matrices A,B are related by A□×B=RT_~np (AB)R_~mq ,where R_~np ,R_~mq are partial permutation matrices.After several properties of the partial permutation matrices are established,this relationship is used to obtain some matrix inequalities of the block Kronecker products.
机构地区 贵州大学数学系
出处 《贵州大学学报(自然科学版)》 2004年第4期337-340,353,共5页 Journal of Guizhou University:Natural Sciences
关键词 块Kronecker积 KRONECKER积 HADAMARD积 矩阵不等式 block Kronecker products Kronecker products Hadamard products matrix inequalities
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参考文献6

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同被引文献22

  • 1陈邦考.矩阵Kronecker积的推广[J].大学数学,2004,20(4):102-104. 被引量:4
  • 2胥德平,花小琴.关于向量Kronecker积的一些控制不等式[J].贵州科学,2005,23(1):20-22. 被引量:1
  • 3胥德平,杜鹃,韦维,刘立新.关于矩阵Khatri-Rao积的一些迹不等式[J].贵州科学,2007,25(1):17-20. 被引量:2
  • 4汤凤香,方秀男.矩阵Khatri-Rao积的推广[J].佳木斯大学学报(自然科学版),2007,25(4):528-530. 被引量:2
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  • 6WANG B Y, ZHANG F. Shar complements and matrix inequalities of Hadamard products[J]. Linear and Multilinear Algebra 1997,43:315-326.
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  • 8杜鹃,范啸涛,杨建康.自伴矩阵与Hermite二次型[J].成都理工大学学报(自然科学版),2007,34(4):478-481. 被引量:7
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  • 10R A HORN, C R JOHNSON. Topics in Matrix Analysis [ M ]. Cambridge, Cambridge University press, 1991.

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