Several preconditioning techniques have been used to reduce the condition number of the operator equations.
文中采用了几种预条件技术来降低算子方程的条件数。
In this paper, we study existence of the solutions and boundary solutions for a class of operator equations.
本文研究了一类算子方程组的解及边界解的存在性。
By using the theory of fixed point and cone theory, we obtain some new results about the system of a monotone operator equations.
分别使用不动点定理，序方法讨论了一类非单调算子方程组解的存在及其迭代。
Due to the wide applications of setvalued operators in modern mathematics, the solvability of the setvalued operator equations are studied.
由于集值算子在现代数学的广泛应用，本文还研讨了关于集值算子方程解的存在性；
A convergence proof is given for the continuous analog of the Newton method for linear semi-positive definite operator equations and convergence rates are obtained.
对半正定线性算子方程考虑了一类连续正则化牛顿方法，给出了收敛证明，得到了收敛率。
In this paper the concept of operators of type (JM) is introduced and the existence theorems for nonlinear random operator equations of accretive type and of type (JM) are proved.
本文引进(JM)型算子的概念，并证明非线性增生算子和(JM)型算子随机方程的解的存在定理。
In this paper, we mainly discuss the fixed point theorems of monotone mappings and the solvability of a class of nonlinear operator equations in partially ordered F-type topological Spaces.
本文主要研究半序f -型拓扑空间中单调映射的不动点定理和一类非线性算子方程的可解性。
In this paper, several existence and uniqueness theorems of solutions are proved for the system of nonlinear random operator equations with stochastic domain by using general random contraction.
本文利用随机收缩，证明具有随机定义域的非线性随机算子方程组的解的存在与唯一性定理，给出非线性随机积分和微分方程组的某些应用，改进和推广了某些结果。
By using the cone theory and non-symmetry iteration method, it is studied the existence and uniqueness of solutions of increasing operator equations without continuity and compactness conditions.
利用锥理论和非对称迭代方法，讨论了不具有连续性和紧性条件的增算子方程解的存在唯一性。
Then through resolving a key operator equation, we obtain the commutator representation of this hierarchy of the soliton equations.
之后，通过求解一个关键性算子方程，得到此类孤子方程族的换位表。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
Then a similar intergrid transfer operator is given for the spaces of velocity, and the W-cycle multigrid method is presented for solving the algebraic equations.
接着对速度空间提出一种类似的网格转移算子，并给出W循环的多重网格法来解对应的代数方程组。
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.
众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。
By introducing the method of rotation operator, we study the singular limits for the boundary problem of rigid wall in hydrokinetics equations.
采用旋度算子的方法研究流体动力学方程组固壁边界问题的奇异极限。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
The nonequilibrium statistical operator (NSO) of the system is constructed and a series of macroscopic equations for its particle number, momentum, energy, force aad entropy etc. are derived.
构成了此体系的非平衡统计算符，进而导出其粒子数、动量、能量、力和熵等一系列宏观方程。
Basic equations are summed as well as the additional equation's presenting for convenience on discussion of operator space.
并总结了基本方程和给出了附加方程，便于算子空间讨论。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
Using the fundamental operator family theory, they give some equivalent conditions for robust stability with respect to small delays for the kind of delay equations.
作者首先引入基本算子族的概念，然后应用它得到了几个小时滞鲁棒稳定性的等价条件。
The master equations of a reduced system density operator , by means of the Liouville equation and the projection operators techniques have been derived.
在本文中我们利用投影算符技巧通过刘维方程推导了系统约化密度主方程，这种方法特别适合于赝非马尔可夫的库场情况。
The operator-splitting scheme is used to solve the governing equations: using the Eulerian-Lagrangian method for solving the horizontal advection terms;
本模型采用破开算子法求解控制方程：用欧拉-拉格朗日法求解水平对流项；
The operator-splitting scheme is used to solve the governing equations: using the Eulerian-Lagrangian method for solving the horizontal advection terms;
本模型采用破开算子法求解控制方程：用欧拉-拉格朗日法求解水平对流项；
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