The -matrix completion problem.
Choi, Ji Young, DeAlba, Luz Maria, Hogben, Leslie, Maxwell, Mandi S., Wangsness, Amy (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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The -matrix completion problem.
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Structure preserving algorithms for perplectic eigenproblems.
Mackey, D.Steven, Mackey, Niloufer, Dunlavy, Daniel M. (2005)
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One-sided simultaneous inequalities and sandwich theorems for diagonal similarity and diagonal equivalence of nonnegative matrices.
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On the inertia sets of some symmetric sign patterns
C. M. da Fonseca (2006)
Czechoslovak Mathematical Journal
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A matrix whose entries consist of elements from the set is a sign pattern matrix. Using a linear algebra theoretical approach we generalize of some recent results due to Hall, Li and others involving the inertia of symmetric tridiagonal sign matrices.
On nowhere weakly symmetric functions and functions with two-element range
Krzysztof Ciesielski, Kandasamy Muthuvel, Andrzej Nowik (2001)
Fundamenta Mathematicae
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A function f: ℝ → {0,1} is weakly symmetric (resp. weakly symmetrically continuous) at x ∈ ℝ provided there is a sequence hₙ → 0 such that f(x+hₙ) = f(x-hₙ) = f(x) (resp. f(x+hₙ) = f(x-hₙ)) for every n. We characterize the sets S(f) of all points at which f fails to be weakly symmetrically continuous and show that f must be weakly symmetric at some x ∈ ℝ∖S(f). In particular, there is no f: ℝ → {0,1} which is nowhere weakly symmetric. It is also shown that if at each...