阵

Firstly, least-squares solution for the inverse problem of real matrices with a submatrix constraint is proposed.

研究了子阵约束下实矩阵反问题的最小二乘问题。

Finally, least-squares solution for the inverse problem of bisymmetric matrices with a submatrix constraint is proposed.

研究了子阵约束下双对称矩阵反问题的最小二乘问题。

Secondly, least-squares solution for the inverse problem of real symmetric matrices with a submatrix constraint is proposed.

研究了子阵约束下实对称矩阵反问题的最小二乘问题。

A new technique for the color image compression by the 3-dimensional(3D) matrix transform based on the submatrix model was proposed.

提出了一种新的基于子阵模型的三维矩阵变换彩色图像压缩方法。

These results are applied to solve a class of inverse eigenvalue problems for real matrices with a submatrix constraint and the expression of general solution and best approximation are also given.

最后，将所得的结果应用于子阵约束下实矩阵特征值反问题的最小二乘问题，得到了该问题解的表达式与最佳逼近解。

From special to normal, the problem of constructing a Jacobi matrix with a prescribed principle submatrix and two ordered defective eigen-pairs has been solved gradually in this paper.

遵循从特殊到一般的原则，本文逐步解决了由给定一个顺序主子阵和两个有序缺损特征对构造Jacobi矩阵的问题。

These three algorithms can avoid to recompute the nth order head submatrix of the Jacobi matrix. Moreover, the last two algorithms are more stable, their precision can match well with the algorithm of Boley and Golub.

这三种算法都可以避免重构Jacobi矩阵的n阶首主子阵，并且后两种算法更稳定，数值精度可以与Boley和Golub的算法媲美。

On the one hand, the linear interpolation in plane makes it easy to separate the three-dimensional null subspace corresponding to rigid body motions, hence what is left to do is just to compute the inverse of a symmetric definite submatrix numerically.

在物理坐标系中的线性插值函数便于将三个刚体模式分离出来，从而只需计算对称正定子阵的逆，避免了求广义逆的数值困难；在参考坐标系中的高阶插值函数则可保持原平面弹性单元的列式方式。

In this note the author showed that if s is nonnegative integer and A∈B n,n+s, then |R|=2 n if and only if A contains a submatrix which is permutation equivalent to the unit matrix of order n.

作者证明：如果s是一个非负整数且A ∈Bn ，n+s，那么｜R ｜=2 n 当且仅当A含有置换等价于n阶单位矩阵的一个子阵

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题，通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系，给出了周期Jacobi矩阵的一些新的谱性质；利用这些谱性质，研究了一类周期Jacobi矩阵特征值反问题，用新的方法推导出了该类特征值反问题有解的充分必要条件，并讨论了解的个数以及解与解之间的关系；此外，提出了一种新的构造周期Jacobi矩阵反问题解的数值算法，并与前人的算法做了一定比较；由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解，本论文给出了周期Jacobi矩阵反问题解唯一的充要条件，并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件；在解唯一的情况下，给出了构造唯一解的数值算法，并做了相应的稳定性分析；最后，提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。