Zero-term ranks of real matrices and their preservers
LeRoy B. Beasley, Young Bae Jun, Seok-Zun Song (2004)
Czechoslovak Mathematical Journal
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Zero-term rank of a matrix is the minimum number of lines (rows or columns) needed to cover all the zero entries of the given matrix. We characterize the linear operators that preserve zero-term rank of the real matrices. We also obtain combinatorial equivalent condition for the zero-term rank of a real matrix.