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Let Ωn denote the set of alln×n-(1,−1)-matrices. E.T.H. Wang has posed the following problem: For eachn≧4, can one always find nonsingularA∈Ωn such that |perA|=|detA| (*)? We present a solution… (More)
Abstract Let A be a nonnegative integral n -square matrix with row sums r 1 , …, r n . It is known that per A ⩽ Π n i=1 r i ! l r i if A is a (0, 1)-matrix (Minc, 1963; Bregman, 1973) and also that… (More)
Abstract The permanental spread of a complex square matrix A is defined to be the greatest distance between two roots of the equation per( zI − A ) = 0. A preliminary study of this number as well as… (More)
Abstract We introduce the notion of dual matrices of an infinite matrix A, which are defined by the dual sequences of the rows of A and naturally connected to the Pascal matrix P = [ ( i j ) ] ( i ,… (More)
Abstract Sharp lower bounds for the determinant and the trace of a certain class of hermitian matrices are derived. Special attention is given to the discussion of the case of equality in these… (More)
Let ω n denote the set of all n × n −(1, −1)-matrices. In  E. I. II. Wang posed the following problem. Is there a decent upper bound for [per A] when A ∊ ω n is nonsingular? In this paper we… (More)