Conditions for Singular Incidence Matrices
نویسندگان
چکیده
منابع مشابه
Conditions for singular incidence matrices
Suppose one looks for a square integral matrix N , for which NN has a prescribed form. Then the Hasse-Minkowski invariants and the determinant of NN lead to necessary conditions for existence. The Bruck-Ryser-Chowla theorem gives a famous example of such conditions in case N is the incidence matrix of a square block design. This approach fails when N is singular. In this paper it is shown that ...
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in this note, we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique. our results are similar to some inequalities shown by bhatia and kittaneh in [linear algebra appl. 308 (2000) 203-211] and [linear algebra appl. 428 (2008) 2177-2191].
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2005
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-005-6907-z