1) roots of systems of nonlinear algebraic equations
非线性代数方程组的根
2) nonlinear algebraic equations
非线性代数方程组
1.
In order to solve complicated nonlinear algebraic equations, the matrix splitting based method for solving linear algebraic equations was generalized, then a new mapping splitting based method was presented in this paper.
为了求解复杂的非线性代数方程组，将线性代数方程组的矩阵分裂法推广至非线性方程组，提出了映射分裂法。
2.
The Burgers equation is changed into nonlinear algebraic equations based on the trigonometric series,thus it can be solved by using the Maple software.
用三角级数试探求解Burgers方程,得到关于待定系数的非线性代数方程组,利用M ap le软件求解此非线性代数方程组,进而求得Burgers方程的精确解。
3) unsymmetric linear system
非对称线性代数方程组
1.
An algorithm is proposed of the preconditioned generalized conjugate residual method for solving unsymmetric linear systems on a vector multiprocessor, when A is a five, seven or nine-diagonal matrix.
对五、七和九对角矩阵在并行一向量处理机上建立了解非对称线性代数方程组的ＰＧＣＲ算法，并分析了它的收敛性。
4) nonlinear algebraic equation
非线性代数方程
1.
In this paper,simulation of nonlinear algebraic equations with PSPICE is discussed.
本文讨论了非线性代数方程的ＰＳＰＩＣＥ模拟问题，提出了Ｋ维非线性受控源及规则电路模型的概念。
2.
By using trial function method and introducing a new transformation, the nonlinear partial differential equation that is hard to be solved by making use of the regular technique can be reduced to a set of nonlinear algebraic equations, which can be easily solved, and their related coefficients can be easily determined by virtue of taking advantage of the approach of undetermined coefficients.
通过引入一个新的变换,利用试探函数法,并选取准确的试探函数形式,将一个难于求解的非线性偏微分方程化成了一组易于求解的非线性代数方程,从而简洁地求得了KdV方程的孤子解,所得结果与已有结果完全吻合。
5) linear algebraic equations
线性代数方程组
1.
Non-linear algebraic equations of the theory of the introduction of higher algebra construction of teaching materials for courses
探析非线性代数方程组理论引入高等代数课程之教材建设
2.
In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.
建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法,对系数矩阵为对称正定矩阵情形,证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性。
3.
For the sake of improving numerical stability and convergence of iterative methods for linear algebraic equations,appropriate preconditioned methods are necessary.
为了提高线性代数方程组迭代法的数值稳定性和收敛速度,采用适当的预处理方法是必要的,本文从预处理共轭梯度法(PCG)的预处理方法出发,介绍了一些常用的预处理方法和相应的预处理矩阵,并分析了它们的适用条件,给出了预处理矩阵的判别原则。
6) system of linear algebraic equations
线性代数方程组
1.
The Gram-Schmidt s orthogonalization,row action method with the greedy method and dividing-conquering strategy were used to put forth a parallel numerical method of solving an arbitrary system of linear algebraic equations.
利用格拉姆-施密特(Gram-Schmidt)正交化方法、行处理法贪心方法和分治策略给出一种求解任意线性代数方程组的并行数值方法,证明该方法对任意的相容性线性代数方程组收敛,分析其计算复杂度和数值稳定性,探讨其在线性代数方程组消息传递并行算法研究中的应用前景。
2.
The authors Utilize Gram-Schmidt s orthogonalization to put forward a parallel method of judging the consistency of arbitrary system of linear algebraic equations and determinging the general solution of arbitraty consistent system of linear algebraic equations,analyze its computational complexity,numerical stability,and its intrinsic parallism.
利用Gram-Schmidt正交规范化方法给出了一种判断任意线性代数方程组相容性以及确定此方程组解结构的数值方法,分析了对应算法的计算复杂度、数值稳定性及内在并行性。
补充资料：线性代数
| 线性代数 linear algebra 以行列式 、矩阵、线性方程组、向量空间、线性变换、二次型为基本内容的代数学分支。又称一次代数。线性代数主要处理线性问题，这是数学中最简单，也是最基本的问题。由直线的方程是一次方程而得名。线性代数所讨论的内容与方法在数学的众多分支以及许多其他学科都有广泛的应用。随着计算机科学的发展，计算机的普及，离散数学的地位更加重要，因而线性代数的基本知识、技能和方法不仅为广大数学工作者、科技工作者所必需，对于其他领域也有广泛应用。线性方程组问题是线性代数的一个古老课题；向量空间和线性变换是线性代数的中心内容；矩阵的理论和方法是线性代数的重要内容又是讨论其他线性代数内容的工具。这门学科17世纪下半叶在欧洲开始发展，20世纪20年代形成一个独立分支。多重线性代数已成为众多领域常用的工具。 |
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