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On the basis of the conversion relation of inverse matrix and adjoint matrix, by using 1/ω instead of |B'(xBx(subscript k|, a new Landweber iteration formula x(superscript δ subscript k+1)=x(superscript δ subscript k)-ωB'(x(superscript δ subscript k)Bx(superscript δ subscript kB'x(superscript δ kf(x(superscript δ subscript k)-y(superscript δ)is constructed for solving rank deficiency nonlinear least squares problem, with which the phenomenon that leads to ill-posed problem because the iteration matrix is rank-deficient and very ill-conditioned in numerical iterative process is avoided.

基于逆矩阵和矩阵伴随算子的换算关系,并用1/ω代替|B′(xBx(下标k|,构造出一个新的求解秩亏非线性最小二乘问题的Landweber迭代格式,x(上标δ下标 k+1)=x-ωB'(xBx(上标δ下标 k*B'x(上标δ下标 kf(x-y,从而避免了在迭代过程中由于迭代矩阵的秩亏和病态而产生的不适定现象。

In Chapter 3, existence of quasi-convex, quasi-concave, convex and concave solutions of a linear iterative functional equation are studied.

曾经有人讨论了凸迭代根和凹迭代根的存在性,但对更一般的方程——线性型迭代方程的解的凹凸性尚无结果。

Direct method of Gaussian elimination, Gaussian main-element elimination, and the iterative method of Jacobi iteration, Gauss - Seidel (Gauss - Seidel) iterative method is linear equations numerical solution of important ways.

直接法中的高斯消去法、高斯列主元消去法,以及迭代法中的雅可比迭代法、高斯-赛德尔(Gauss-Seidel)迭代法又是线性方程组数值求解的重要方法。

In the second one, Jacobi method, Gauss-Seidel method and Successive Over-Relaxation method were compared under the three kinds of memory formats.

在论文的第二部分,我们比较了在三种存储格式下的迭代法,迭代法和迭代法的优劣。

Some special matrices and numerical characteristics related to iteration solutions of linear systems, convergence and comparison theorems of matrix splittings, preconditioning techniques for iteration solutions of saddle point problems are deeply studied in this thesis.

本文对与大型线性代数方程组迭代求解有关的特殊矩阵和数值特征进行了深入的研究,特别系统地研究了矩阵分裂迭代法的收敛性和比较理论及鞍点问题迭代求解预处理技术。

Some efforts were made to improve the computational efficiency of the mold filling simulation of die casting process. To speed up the convergence of the pressure field and speed field, the SOLA method was modified and a dynamic iteration direction method was put forward.

通过对SOLA算法中迭代方法的改进和采用"动态迭代方向"法,加速了流场计算的迭代收敛速度;通过引进"瞬态层"概念,大大简化了流场耦合温度场计算时的计算规模,提高了计算效率。

For solving the linear system with the iterative method, it is very important to estimate the spectral radius of the iterative matrices.

在用迭代法解线性方程组时,迭代矩阵的谱半径估计在迭代法的收敛性分析中起着重要的作用。

when computing the next tracing point, the traditional tracing method generally used the iterative method. but the iterative method had to face the following problems.

摘 要:传统的跟踪方法在求下一个跟踪点时一般是采用迭代法,而迭代法会出现初始值的选取和迭代收敛的问题。

When the matrix equation is consistent, its centrosymmetric solution can be obtained within finite iterative steps in the absence of round off errors for any initial centrosymmetric matrix X1, and its least-norm centrosymmetric solution can be derived by choosing a suitable initial iterative matrix.

当矩阵方程AXB+CXD=F有中心对称解时,在有限的误差范围内,对任意初始中心对称矩阵X1,运用迭代算法,经过有限步可得到矩阵方程的中心对称解;选取合适的初始迭代矩阵,还可以迭代出极小范数中心对称解。

I obtain more accurate results such as, the convergence for JOR. In 3.4, I analyze the convergence of SOR.In 3.5, I study the convergence of MSOR.

如3.3节JOR迭代法的收敛性分析 3.4节研究了SOR迭代法的收敛性分析3.5节研究了MSOR迭代法的收敛性分析

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