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                                       Details for article 3 of 8 found articles
 
 
  Inequalities relating groups of diagonal products in a gram matrix
 
 
Title: Inequalities relating groups of diagonal products in a gram matrix
Author: Pate, Thomas H.
Appeared in: Linear & multilinear algebra
Paging: Volume 11 (1982) nr. 1 pages 1-17
Year: 1982
Contents: Suppose A is an nk×nk positive semi-definite symmetric matrix partitioned into blocks Aij each of which is an n×n matrix. LetA = [aij] where aij = per (Aij) for 1≤i,j≤k and let A = [bij] where bij = |aij| for 1 ≤ i,j ≤ k. A conjecture of Marcus is that per (A) ≥ per (A). In this paper we are able to show that for each k the stronger inequality per(A) ≥ per (A) holds for all but finitely many integersn n.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 3 of 8 found articles
 
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