Abstract
The sign central matrices were characterized by Ando and Brualdi. And, the nearly sign central matrices were characterized by Lee and Cheon. In this paper, we give another characterization of nearly sign central matrices. Also, we introduce the nearly minimal sign central matrices and study the properties of nearly minimal sign central matrices.
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R. A. Brualdi and T. Ando,Sign-Central Matrices, Linear Algebra and its Appl., 208/209 (1994), 283–295.
G. V. Davydov and I. M. Davydova,Solubility of the system Ax=0, x>-0 with indefinite coefficients, Soviet Math. (IZ. VUZ), 334(1990), 108–112.
G. Y. Lee,A note on sign central matrices, J. Appl. Math. and Computing(Series A) Vol. 10(2002), No. 1-2, 353–360.
G. Y. Lee and G. S. Cheon,A characterization of nearly sign central matrices, Bull. Korean Math. Soc., 37(4)(2000), 771–778.
G. Y. Lee and B. L. Shader,Sign consistency and solvability of constrained linear systems, Electronic J. Linear Algebra, 4(1998), 1–18.
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This work was supported by Korea Research Foundation Grant(KRF-2000-015-DP0005).
Gwang-Yeon Lee received BS, MS and Ph. D from SungKyunKwan University under the supervision of Professor Heon-Jae Lee. Since 1992 he has been at Hanseo University and became Associate Professor in 2000. His research interests focus on sign pattern matrix theories, combinatorial matrix theories and combinatorial counting number theories.
You-Ho Lee received BS, MS, and Ph. D from Sungkyunkwan University under the supervision of Professor Sang-Gu Lee. Since 2002 he has worked at Daegu Haany University. His research interests focus on characterization of linear preservers, combinatorial matrix theories and combinatorial counting number theories.
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Lee, GY., Lee, YH. A characterization of the nearly sign central matrices and its minimallity. JAMC 14, 225–235 (2004). https://doi.org/10.1007/BF02936110
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DOI: https://doi.org/10.1007/BF02936110