vol9_pp276-281. 102KB Jun 04 2011 12:06:17 AM
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For the complex case, the form (2.1) originates in author’s discussions with Bella and Olshevsky [2]; it can be obtained from the standard canonical form for complex hermitian
To do this, observe that the hermitian forms graph is the Cayley graph C ay ( G, S ), where G is the additive group of all hermitian matrices and the set S consists of all
This paper extends the Nilpotent- Jacobian method for sign pattern matrices to complex sign pattern matrices, establishing a means to show that an irreducible complex sign
of matrix valued functions is very rich but mainly, perturbations of matrix functions of a complex argument and matrix functions of Hermitian matrices were considered, cf.
The extreme ranks, i.e., the maximal and minimal ranks, are established for the general Hermitian solution as well as the general skew-Hermitian solution to the classical
The study of the spectra of real symmetric (or Hermitian) matrices subordinated to a certain tree, and, in particular, of the number of distinct eigenvalues such acyclic matrices,
Further, we give some L¨ owner partial orders for compound matrices of Schur complements of positive semidefinite Hermitian matrices, and obtain some estimates for eigenvalues of
In the present case, the motivation for establishing Theorem 1 comes from the study of the moments of random real symmetric (or hermitian) matrices known as the Wigner ensemble.. [
