AbstractEarlier results by Marshall Hall on integral completions of matrices satisfying orthogonality conditions are extended as far as possible, with special attention given to the Hadamard case. A result on restricting the denominators of rational completions to a power of 2 is also given
AbstractLet E=[eij] be a matrix with integral elements. We study matrices of the form X=[eeij], wher...
AbstractIn the present note we obtain a number of Hall-type, theorems in combinatorial analysis and ...
AbstractWe study orbits of the natural action of SL(n,Z)+ (the semigroup of nonnegative integral n×n...
AbstractPrevious results on rational completions of combinatorial matrices are specialized to the ca...
AbstractEarlier results by Marshall Hall on integral completions of matrices satisfying orthogonalit...
AbstractResults are derived on rational solutions to AAT = B, where B is integral and A need not be ...
AbstractD. Gale, in 1957 and H.J. Ryser, in 1963, independently proved the famous Gale–Ryser theorem...
AbstractWe prove that if a partial integral matrix has a free diagonal then this matrix can be compl...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
AbstractLet P = (pij) and Q = (qij) be m × n integral matrices, R and S be integral vectors. Let UPQ...
AbstractThis paper investigates the matrix equation Am = dl + λJ, where A is a rational circulant. H...
AbstractThis paper is concerned with the n-dimensional integral representations of an order in an al...
The strong Chvátal rank of a rational matrix A is the smallest number t such that the polyhedron def...
AbstractIntegral matrices A for which the system Ax=b will have an integral basic solution are consi...
AbstractIn this paper we examine two possible generalisations of total unimodularity, viz., total k-...
AbstractLet E=[eij] be a matrix with integral elements. We study matrices of the form X=[eeij], wher...
AbstractIn the present note we obtain a number of Hall-type, theorems in combinatorial analysis and ...
AbstractWe study orbits of the natural action of SL(n,Z)+ (the semigroup of nonnegative integral n×n...
AbstractPrevious results on rational completions of combinatorial matrices are specialized to the ca...
AbstractEarlier results by Marshall Hall on integral completions of matrices satisfying orthogonalit...
AbstractResults are derived on rational solutions to AAT = B, where B is integral and A need not be ...
AbstractD. Gale, in 1957 and H.J. Ryser, in 1963, independently proved the famous Gale–Ryser theorem...
AbstractWe prove that if a partial integral matrix has a free diagonal then this matrix can be compl...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
AbstractLet P = (pij) and Q = (qij) be m × n integral matrices, R and S be integral vectors. Let UPQ...
AbstractThis paper investigates the matrix equation Am = dl + λJ, where A is a rational circulant. H...
AbstractThis paper is concerned with the n-dimensional integral representations of an order in an al...
The strong Chvátal rank of a rational matrix A is the smallest number t such that the polyhedron def...
AbstractIntegral matrices A for which the system Ax=b will have an integral basic solution are consi...
AbstractIn this paper we examine two possible generalisations of total unimodularity, viz., total k-...
AbstractLet E=[eij] be a matrix with integral elements. We study matrices of the form X=[eeij], wher...
AbstractIn the present note we obtain a number of Hall-type, theorems in combinatorial analysis and ...
AbstractWe study orbits of the natural action of SL(n,Z)+ (the semigroup of nonnegative integral n×n...
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