查询词典 submatrix

And the sufficient and necessary conditions are obtained and the uniqueness of T is discussed and an algorithm for solving the inverse problem is provided. The other kind of structure inverse eigenvalue problem is for unitary Hessenberg matrices with positive subdiagonal elements. That is, a unitary Hessenberg matrices with positive sub-diagonal elements can be constructed when its eigenvalues and the eigenvalues of H_(11) and H_(22) are known. Here H_(11) and H_(22) are rank-one modifications of k × k leading principal submatrix of H and of its × remain submatrix respectively. In the end, the uniqueness of H and an algorithm is obtained.

文中首先讨论了这三组特征值之间的交错关系，接着确定了该逆问题有解的充要条件，并论证了其解的唯一性问题，最后给出了相应的数值算法；本文第二个问题解决的是一类不可约的酉Hessenberg阵的逆特征值问题：即一个不可约的酉Hessenberg阵可以由它的特征值、它的前k阶秩一修正的顺序主子阵的特征值以及它的后n—k阶余子阵的秩一修正阵的特征值来确定，文中最后讨论了唯一性和相应的算法。

Firstly, an inverse eigenvalue problem for Jacobi matrices is presented: we could construct the Jacobi matrix T if we know the spectral data: the eigenvalues of T and the eigenvalues of T_1 and of T_2, where T_1 is different to the k × k leading principal submatrix of T only at the position, while T_2 is different to the × remain submatrix only at the (1, 1) position.

首先给出的是一类Jacobi阵的逆特征值问题，即给定三组实数：一组是Jacobi阵的n个特征值，一组是只修改了最后一个对角元的它的前k阶顺序主子阵的特征值，最后一组是修改了第一个对角元的后n—k阶余子阵的特征值，用这些给定的特征值来确定相应的Jacobi矩阵。

So I obtained a new stable method that can avoid computing the characteristic polynomial for getting the eigenvalues of the tail submatrix.

利用这一思想和分治法，本人又提出了另一新的稳定解法是基于前一种方法和分治法的。

The Jacobian matrix is divided into four submatrices,andthe derivation of each submatrix is simplified.

给出了子矩阵的递推算法，提高了Jacobi矩阵的计算效率。

The problem of finding real matrix solutions for a class of matrix equation under a submatrix constraint is discussed.

本文讨论了子矩阵约束下一类矩阵方程的实矩阵解问题。

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。

That stores the first array access and generates a SubMatrix object.

第一个存储数组访问并生成一个子矩阵对象。

Though 4D-MDCT can get rid of the correlation between pixels in the submatrix, it can not get rid of the correlation between the submatrices.

虽然4D-MDCT去除了四维子矩阵内的相关性，却没有去除子矩阵间的相关性。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。