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块对角占优矩阵的特殊应用
Special Applications of Block Diagonally Dominant Matrices
【摘要】 以矩阵范数性质的块对角占优矩阵和广义严格对角占优矩阵为工具,利用矩阵分块的方法引入了矩阵非奇异的判定条件,讨论了矩阵非奇异性的判定准则,并利用数值例子说明了所给结论的可行性和有效性.
【Abstract】 This paper uses block diagonally dominant matrices and generalized strictly diagonally dominant matrix based on the nature of the matrix norm as tools,uses matrix partition method the nonsingular to import matrices conditions,discusses the criterias of the nonsingularity matrices,and uses the numerical examples to illustrate the feasibility and effectiveness of the conclusions.
【关键词】 块对角占优矩阵;
广义严格对角占优矩阵;
分块;
非奇异;
【Key words】 block diagonally dominant matrices; generalized strictly diagonally dominant matrix; partition; nonsingularity;
【Key words】 block diagonally dominant matrices; generalized strictly diagonally dominant matrix; partition; nonsingularity;
【基金】 韩山师范学院大学生创新实验(实践)项目(项目编号:NO.2012—20)
- 【文献出处】 韩山师范学院学报 ,Journal of Hanshan Normal University , 编辑部邮箱 ,2013年03期
- 【分类号】O151.21
- 【下载频次】87