non-symmetric definite matrix 非对称正定矩阵
metapositive symmetric definite matrices 次对称正定矩阵
positive definite symmetric matrices [数] 正定对称矩阵
symmetric positive definite 对称正定
The main productions are summarized as follows:(1) The symmetric-definite tridiagonal generalized eigenvalue problemsi) A divide-and-conquer algorithm is proposed. The original problem is divided into two subproblems, and the sum of the subproblem’s scales is equal to the original problem’s scale.
本文的主要研究成果概括如下： （1）关于实对称定三对角矩阵广义特征值问题 ⅰ) 提出了一种基于等规模矩阵划分策略的分治算法，子问题的规模之和等于原问题的规模。
参考来源 - 分布式存储环境下矩阵广义特征值问题的并行计算·2,447,543篇论文数据，部分数据来源于NoteExpress
The modern natural science has proved that nature is unified, symmetric and definite, but also diversified, unsymmetric and stochastic. Art has already embodied the same law in its long time creation.
现代自然科学证实：自然既是统一的、对称的、确定的，又是多样的、不对称的、随机的，然而艺术早已在其创作中体现了这些规律。
Some sufficient and necessary conditions of the full symmetric real matrix is full definite matrix are discussed.
讨论了全对称实矩阵是全正定矩阵的几个充分必要条件。
At the same time, a new proof is given for the sufficient and necessary condition of the SOR method applied to symmetric and positive definite system.
进一步丰富了SOR理论，同时给出了SOR方法在对称正定条件下收敛的充要条件的又一新证明。
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