LINEAR TRANSFORMATIONS THAT PRESERVE TERM RANK BETWEEN DIFFERENT MATRIX SPACES

作者:Song Seok Zun*; Beasley LeRoy B
来源:Journal of the Korean Mathematical Society, 2013, 50(1): 127-136.
DOI:10.4134/JKMS.2013.50.1.127

摘要

The term rank of a matrix A is the least number of lines (rows or columns) needed to include all the nonzero entries in A. In this paper, we obtain a characterization of linear transformations that preserve term ranks of matrices over antinegative semirings. That is, we show that a linear transformation T from a matrix space into another matrix space over antinegative semirings preserves term rank if and only if T preserves any two term ranks k and l.

  • 出版日期2013-1

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