Hermitian positive semidefinite matrices whose entries are 0 or 1 in Modulus∗
نویسندگان
چکیده
منابع مشابه
A ] 2 2 Ju l 1 99 8 Hermitian Positive Semidefinite Matrices Whose Entries Are 0 Or 1 in Modulus ∗
We show that a matrix is a Hermitian positive semidefinite matrix whose nonzero entries have modulus 1 if and only if it similar to a direct sum of all 1s matrices and a 0 matrix via a unitary monomial similarity. In particular, the only such nonsingular matrix is the identity matrix and the only such irreducible matrix is similar to an all 1’s matrix by means of a unitary diagonal similarity. ...
متن کاملPermanents of Positive Semidefinite Hermitian Matrices
In this project, we are interested in approximating permanents of positive semidefinite Hermitian matrices. Specifically, we find conditions on positive semidefinite Hermitian matrices such that we can generalize the algorithm described in Sections 3.6 3.7 of [1] to matrices satisfying these conditions.
متن کاملFinite Groups of Matrices Whose Entries Are Integers
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your perso...
متن کاملInequalities Involving Khatri-rao Products of Positive Semidefinite Hermitian Matrices
In this paper, we obtain some matrix inequalities in Löwner partial ordering for Khatri-Rao products of positive semidefinite Hermitian matrices. Furthermore, we generalize the Oppenheim’s inequality, with which we will improve some recent results.
متن کاملConvergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices
For the non-Hermitian and positive semidefinite systems of linear equations, we derive sufficient and necessary conditions for guaranteeing the unconditional convergence of the preconditioned Hermitian and skew-Hermitian splitting iteration methods. These result is specifically applied to linear systems of block tridiagonal form to obtain convergence conditions for the corresponding block varia...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 1999
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081089908818619