H. Schneider

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math.RA1998

Hermitian Positive Semidefinite Matrices Whose Entries Are 0 Or 1 in Modulus

Daniel Hershkowitz, Michael Neumann, Hans Schneider

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 $1^{'} s$ matrices and a 0 matri…

math.RA1998

On matrices for which norm bounds are attained

Hans Schneider, Hans F. Weinberger

Let $∥ A ∥_{p, q}$ be the norm induced on the matrix $A$ with $n$ rows and $m$ columns by the Hölder $ℓ_{p}$ and $ℓ_{q}$ norms on $R^{n}$ and $R^{m}$ (or $C^{n}$ and $C^{m}$ ), respectivel…

math.RA1998

On the invariant faces associated with a cone-preserving map

Bit-Shun Tam, Hans Schneider

For an $n \times n$ nonnegative matrix $P$ , an isomorphism is obtained between the lattice of initial subsets (of $1, ..., n$ ) for $P$ and the lattice of $P$ -invariant faces of the…

math.RA1998

Bounds on norms of compound matrices and on products of eigenvalues

Ludwig Elsner, Daniel Hershkowitz, Hans Schneider

An upper bound on operator norms of compound matrices is presented, and special cases that involve the $ℓ_{1}$ , $ℓ_{2}$ and $ℓ_{\infty}$ norms are investigated. The results are…