查询词典 conformable matrices

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。

This paper discusses the quantitative correspondence of Q and R matrices of unitary symmetric matrices and its mother matrix.

1引言矩阵A的QR分解及A的Moore Penrose逆等不仅有很广泛的实际应用，而且也有理论研究意义[1～7]。

This paper is attributed to the research of the theory arid application of fuzzy matrices, aiming at the calculation, simplification and application of the transitive closure of the general fuzzy matrices.

摘要本文工作属于模糊矩阵理论和应用研究，具体工作针对一般模糊矩阵传递闭包的计算、简化与应用。

In order to make the new recursive method convergence fast, the RLS-like forgetting factor is introduced to construct the new data Hankel matrices. In the framework of subspace methods, the gradient type subspace tracking method is used to implement the update of the state subspace, which results the unbiased estimate. Different from traditional offline method, the system matrices are recursively computed using RLS method. The convergence analysis of the proposed method is given and finally, the efficiency of this method is illustrated with a simulation example.A new closed-loop identification method is proposed to implement consistency estimation of closed-loop subspace identification.

引入RLS-like遗忘因子机制构造新的数据矩阵，更好地跟踪系统时变信息，提高递推算法的收敛速度；在子空间辨识框架内，采用梯度型子空间跟踪算法实现对状态子空间的更新，避免了子空间近似带来的估计有偏性；与传统的离线算法不同，在得到系统状态子空间后，基于递推最小二乘方法提出新的算法，实现对系统矩阵的递推估计；并给出递推子空间辨识算法的收敛性分析；最后通过仿真实例验证算法的有效性。

Based on definition of orthogonal counterbalance, authors definite the unitary counterbalance of matrix and prove the unitary counterbalance properties of unitary symmetric matrix and it s mother matrix, obtain some results as the Moore-Penrose inverses of unitary symmetric matrices are unitary counterbalance if unitary symmetric matrices are unitary counterbalance .

从矩阵正交相抵的概念出发，给出了矩阵酉相抵的概念，证明了酉对称矩阵与母矩阵之间的酉相抵性，得到了酉相抵矩阵的Moore Penrose逆等一些新的结论。

This method computed the best rank-k approximation matrix which captured the k most prominent features of the data by minimizing the residual error among all rank-k matrices and then used the feature matrices to produce the prediction of unrated items.

本文通过奇异值分解的方法对用户评分矩阵进行降维，搜索最佳的用户特征矩阵和项特征矩阵，使其能有效地反映原始评分数据的特征，并在此基础上利用特征矩阵进行用户评分预测。

The stablity of second phases in iron aluminide matrices is analyzed based on the thermodynamic data of binary alloy, which offers the possibility to fortell the chemical reaction in the composite system, and shows that Al〓O〓 is most stable in Fe〓Al matrices.

复合材料强韧化是Fe〓Al合金发展的方向，利用二元化合物热力学数据，提出预测第二相稳定性的计算方法，认为Fe〓Al基合金中，Al〓O〓是最稳定的第二相。

Considering pencil of matrices with centrosymmetric could not satisfy characteristic equations in practice, it was necessary to study the centrosymmetric solution of the matrix equation least square problems, and to give pencil of matrices with centrosymmetric of the least squares problems in model updating.

对线性结构的有限元动力模型修正问题，通过灵敏度分析，确定要修正的参数，由正交性条件和特征方程得到相应的修正量方程。

Futhermore,we obtain the correspond-ing reflecting K matrices which include those used by Arnaudon and Maassarani toconstruct a commutable family of transfer matrices.

得到的反射矩阵包括了Arnaudon和Maassarani用来构造可对易的transfer矩阵的反射矩阵。

By using the methods of real representation of complex matrices, companion vector and company vector, we study and solve the problems of Jordan canonical forms, triangular and generalized diagonalization for matrices under consimilarity.

我们通过复矩阵的实表示、友向量和伴向量方法，研究并解决了合相似意义下矩阵的若当标准形、合相似意义下矩阵的三角化和矩阵的广义对角化的问题。

That snake Alaric named Archbishop...

庇护。。。那个毒如蛇蝎的Alaric被命名为大教主。。。

You have done lots of magical things to be amazed at.

你做了很多神奇的事物感到惊讶。