Abstract



In this work, we introduce an algebraic operation between bounded Hessenberg matrices and we analyze some of its properties. We call this operation msum and we obtain an expression for it that involves the Cholesky factorization of the corresponding Hermitian positive definite matrices associated with the Hessenberg components. This work extends a method to obtain the Hessenberg matrix of the sum of measures from the Hessenberg matrices of the individual measures, introduced recently by the authors for subnormal matrices, to matrices which are not necessarily subnormal. Moreover, we give some examples and we obtain the explicit formula for themsum of a weighted shift. In particular, we construct an interesting example: a subnormal Hessenberg matrix obtained as the msum of two not subnormal Hessenberg matrices.  
International

Si 
JCR

Si 
Title

Journal of Computational And Applied Mathematics 
ISBN

03770427 
Impact factor JCR

1,112 
Impact info


Volume




Journal number


From page

98 
To page

106 
Month

AGOSTO 
Ranking

Q2 