查询词典 canonical decomposition

Because of the limitations of the tradional analysis methods for magnetotelluric impedance, the universal canonical decomposition has been proposed.

鉴于大地电磁阻抗张量传统分析方法的局限性，提出了普遍适用的正则分解方法。

It is demonstrated by an example that the proposed algorithm can find all canonical groups without triangle decomposition and heightens the precision and decreases the complexities of computation.

实例验证表明：该算法不通过三角分解就能够找出所有的规范模糊组，提高了计算精度，同时也降低了计算复杂度。

Keywords: identity-based encryption, digital signature, matrix canonical decomposition

中文关键词：基于身份的公钥密码，数字签名，矩阵经典分解

The techniques commonly used are some matrix-factorizations such as the generalized singular value decomposition, the canonical correlation decomposition, and the quotient singular value decomposition.

常用的方法是借助于一些矩阵分解，如广义奇异值分解，典型相关分解，和商奇异值分解等。

Normalization properties (decompositions, decomposition type, canonical combining class, composition exclusions, etc.).

标准化属性（分解，分解类型，最简组成类，不合法组合，等等）。

Quaternion matrix, singular value decomposition, CS decomposition,canonical angle.

由于四元数矩阵乘法运算的复杂性，利用【n，12}的方法很难求出具体的奇异值分解式来。

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

Based on the projection theorem in the finite-dimensional inner product space, by making use of the generalized singular value decomposition and the canonical correlation decomposition of matrix pair simultaneously, we transform the least-squares problems of the abovementioned inconsistent matrix equations into the problems of solving the consistent matrix equations over given matrix set, and obtain the general expressions of the corresponding least-squares solutions.

S使得‖-X~*‖=‖-X~*‖，其中‖·‖为Frobenius范数，S分别表示矩阵方程 AXB=D，AXA~T+BYB~T=D，AXB+CYD=E和矩阵方程组=，=在一般矩阵集合或对称矩阵集合上不相容时的最小二乘解集合。

In Chapter 5, the least-squares solutions bisymmetric matrix set of the matrix equation ATXA = B on two linear manifolds Si ={X BSRnxn\\\XY - Z\\ = min} and S2 ={X BSRnXn\XY = Z, YtTZi = ZjYu ZtffYi = Zi,i = 1,2, Y, Z e Rnxm}, by applying the singular value decomposition of matrix and the canonical correlation decomposition of matrix pairs, we obtain a general expression of the least-squares solutions of the matrix equation ATXA = B on two linear manifolds.

在第五章，我们研究了两类线性流形S_1={X∈BSR~|‖XY-Z‖=min}和S_2={X∈BSR~|XY=Z，Y_i~TZ_i=Z_i~TY_i，Z_iY_i+Y_i=Z_i，i=1，2，Y，Z∈R~}上矩阵方程A~TXA=B的双对称最小二乘解。

Based on the decomposition theorem for vector space with module structure and rational canonical form of matrix, a kind of new block diagonal controllably canonical forms are inferred when the time invariant linear multivariable system is completely controllable, which the system matrix is similar to a block diagonal and has an analogy with its rational canonical form. Compare with current controllability canonical forms, this kind is easier to analyse the system constructional characteristic. The process of proof gives an effective solution method.

基于向量空间的模结构分解和矩阵的有理标准形给出了定常多输入线性系统一类新的块对角可控规范型，其中的系统矩阵相似与一个块对角矩阵，该块对角矩阵类似于矩阵的有理标准形，与现在有的可控规范型比较，更容易反映系统的结构特征，证明步骤给出了求解方法。

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 。