1) r-diagonally dominant matrix
r-对角占优矩阵
1.
In this paper,the concept of r-diagonally dominant matrix is introduced and some sufficient conditions are given for a matrix to be generalized strictly diagonally dominant.
引进r-对角占优矩阵概念,给出广义严格对角占优矩阵几个新的充分条件,并用数值例子说明所得结果的有效性。
2) r-connective diagonally dominant matrix
r-连对角占优矩阵
1.
In this paper,we introduce the concept of r-connective diagonally dominant matrix,give some conditions for a matrix to be generalized as diagonally dominant,and illustrate obtained theorem by a numerical example.
引进了r-连对角占优矩阵的概念,给出了矩阵广义对角占优的一个充分条件和一类矩阵广义对角占优的充要条件,并且给出了所得定理的应用实例。
3) diagonally dominant matrix
对角占优矩阵
1.
New properties of weakly generalized diagonally dominant matrix;
弱广义对角占优矩阵的新性质
2.
: The Paper discusses the diagonally dominant matrix .
研究了对角占优矩阵的性质,给出了此类矩阵奇异的一个充分条件和一个充分必要条件,同时给出了它的LU分解形式。
4) diagonally dominant matrices
对角占优矩阵
1.
α-Geometric mean diagonally dominant matrices with nonzero elements chain;
具有非零元素链的α-几何平均对角占优矩阵
2.
Some properties of block diagonally dominant matricesare used in this paper to obtain the sufficiet condition of the conver-gence of the block Jacobi iterative method and the block Seidel itera-tive method for linear equations.
该文运用块对角占优矩阵的性质,得到了解线性方程组的块Ja-cobi迭代和块Seidel迭代收敛的充分条件,并举例说明。
3.
Several kinds of diagonally dominant matrices and block diagonally dominant matrices play an important role in numerical mathematics, economics and statistics, many scholars have gotten important conclusions on them.
各类对角占优矩阵及分块对角占优矩阵在矩阵理论及计算数学、经济学、统计学等实际应用中具有重要地位，国内外不少学者都作了许多重要工作。
补充资料：对角矩阵
对角矩阵
diagonal matrix
对角矩阵[血，司比.七妞;八.arooa二‘ua，MaTp“职] 一个方阵，其中除主对角线上的元素可能不是零以外，其余元素都是零.0.A.”般H。股撰【补注】域K上的(陀xn)对角矩阵具有下列形式: ra.o……O、 10几·…认01 LO···……a，)其中a‘是K的元素.张鸿林译
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条