JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 3, Pages 605 - 619
(December 2004)
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THE
EQUIVALENT CONDITIONS OF A GENERALIZED NORMAL
MATRIX
Shilin Zhan (P. R. China)
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Abstract: A matrix A Î Cn´n is called a generalized normal matrix or
H+-normal
matrix if there exists a positive definite
Hermitian matrix H such that A*HA = AHA*.
In this paper, we give a list of sixty-two
conditions on an n-by-n matrix to
be the generalized normal matrix and many
applications of these conditions. |
Keywords and phrases: generalized normal matrix, H+-normal,
H-normal. |
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