Uniqueness and independence of submatrices in solutions of matrix equations.
Tian, Y. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Tian, Y. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Ar. Meenakshi (1989)
Czechoslovak Mathematical Journal
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Štefan Schwarz (1985)
Mathematica Slovaca
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Seok-Zun Song, Young-Bae Jun (2006)
Discussiones Mathematicae - General Algebra and Applications
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The zero-term rank of a matrix is the minimum number of lines (row or columns) needed to cover all the zero entries of the given matrix. We characterize the linear operators that preserve the zero-term rank of the m × n integer matrices. That is, a linear operator T preserves the zero-term rank if and only if it has the form T(A)=P(A ∘ B)Q, where P, Q are permutation matrices and A ∘ B is the Schur product with B whose entries are all nonzero integers.
Beasley, LeRoy B. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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