diagonally dominant
对角占优：在数学中
常用释义
英式发音
美式发音
基本释义
- 对角占优：在数学中，一个矩阵被称为对角占优，如果对于每一行，其对角线元素的绝对值大于或等于该行其他元素的绝对值之和。
例句
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1·The concept of local double diagonally matrix is introduced in this paper, and three sufficient conditions of the generalized sub-diagonally dominant matrices are obtained.提出局部次对角占优矩阵的概念，得到了广义次对角占优矩阵的二个充分条件。
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2·This article introduces the concept of local diagonally dominant matrics, studies the properties and eigenvalues of the matrics and offers its application in stability theory.引进了弱局部对角占优阵的概念，研究这类矩阵的性质及其特征值问题，并给出了在稳定性理论中的应用。
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3·The estimation on the inverse elements of strictly diagonally dominant tridiagonal matrix is established; in this estimation, the nonnegative condition of matrix elements is moved.利用严格对角占优和三对角矩阵的某些特性，推导出严格对角占优三对角矩阵逆元素的统一估计式。
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4·Generalized strictly diagonally dominant matrices play an important role in many fields, but it isn't easy to determine a matrix is a generalized strictly diagonally matrix or not.广义严格对角占优矩阵在许多领域中具有重要作用，但其判定是不容易的。
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5·In this paper we propose the concept of a weak strictly diagonally dominant matrix given some DE terminate sufficient conditions for generalized strictly diagonally dominant matrices.本文提出了弱严格对角占优矩阵的概念，并由此给出了广义严格对角占优矩阵的若干判定条件。
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6·In this paper, we give the estimates for the upper and lower bounds on the inverse elements of strictly diagonally dominant periodic tridiagonal matrices, and improve the latest findings.本文给出了严格对角占优周期三对角矩阵逆元素上界和下界的估计，改进了一些学者近期的研究结果。
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7·The calculation methods of diagonally dominant matrix in-situ replacement are researched, including the matrix determinant, the matrix equation unknown and the matrix inversion computation.研究对角占优矩阵原位替换解算方法，包括矩阵行列式、矩阵方程未知数和矩阵逆阵的解算。
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8·Based on the properties of block diagonally dominant matrices, generalized strictly diagonally dominant matrices and nonsingular M-matrices. We give the new condition of nonsingular matrices.利用矩阵的块对角占优、广义严格对角占优以及非奇异m -矩阵的性质及理论，给出了矩阵非奇异的判定条件，拓展了矩阵非奇异性的判定准则。
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9·In this paper, some sufficient conditions and a necessary condition for a matrix to be a generalized strictly diagonally dominant matrix is given. Some previous results are improved and generalized.本文给出了广义严格对角占优矩阵的若干充分条件和必要条件，从而改进和推广了一些已有的结果。