Trace inequalities for matrices

Authors

  • Khalid Shebrawi Al-BalqaÂ’ Applied University
  • H. Albadawi

Keywords:

Trace inequalities, eigenvalues, singular values.

Abstract

Trace inequalities for sums and products of matrices are pre- sented. Relations between the given inequalities and earlier results are dis- cussed. Among other inequalities it is shown that if A and B are positive semideÂ…nite matrices, then tr (AB)k min kAkk trBk; kBkk trAk for any positive intger k. DOI: 10.1017/S0004972712000627

Published

2012-12-17

Issue

Vol. 87 No. 1 (2013)

Section

Articles
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