| 一类线性互补性问题的整数解 |
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| 引用本文： | 马俊,杨球.一类线性互补性问题的整数解[J].武汉科技学院学报,2003,16(3):28-31. |
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| 作者姓名： | 马俊 杨球 |
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| 作者单位： | 1. 武汉科技学院,数理系,湖北,武汉,430074
2. 中国地质大学,数理系,湖北,武汉,430074 |
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| 摘 要： | 通过定义特殊的矩阵类I,讨论对每一个有补余解的向量q,与I类矩阵对应的线性互余性问题具有整数解的充分性条件,进一步根据矩阵的幺模性及幺模锥,导出I类矩阵的某些子类所对应的线性互余性问题有整数解的必要和充分条件。
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| 关 键 词： | 线性互补性 幺模性 主幺模性 矩阵类 |
| 文章编号： | 1009-5160(2003)-0028-04 |
| 修稿时间： | 2003年3月27日 |
Integer Solution to A class of Linear Complementarity Problem |
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| MA Jun,YANG Qiu.Integer Solution to A class of Linear Complementarity Problem[J].Journal of Wuhan Institute of Science and Technology,2003,16(3):28-31. |
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| Authors: | MA Jun YANG Qiu |
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| Institution: | MA Jun1,YANG Qiu2 |
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| Abstract: | By defining the class I of matrices, we have discussed the sufficient conditions of linear complementarity problem on a matrix M in class I for which the corresponding linear complementarity problem has an integer complementary solution for every vector q for which it has a complementary solution. Furthermore, according to the principal unimodularity of Matrix and unimodular cones, we have presented necessary and sufficient conditions for some special classes of matrices in linear complementarity belonging to class I. |
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| Keywords: | Linear complementarity problem unimodular principal unimodularity class of matrices |
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