查询词典 similar matrix

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

We show a matrix A is similar to an orthogonal matrix over a field of characteristic 2 if and only if ( 1 ) the invariant factors of A are symmetic,(2) A has at least an elementary divisor of the form ( x + 1 ) m.

本文利用矩阵方程证明如下两个结果：设F为一个域char=2，在F上矩阵A相似于一个正交矩阵的充要条件为(1)A的不变因子是对称的。(2)A至少有一个形为(X十1)的初等因子。

Next produced several kind of matrices similar determinations principle, the matrix equally in value from this has similarly drawn out the elementary divisor with the characteristic matrix, invariant factor two related concepts.

其次给出了几种矩阵相似的判定法则，矩阵相似与特征矩阵等价由此引出了初等因子，不变因子两个相关概念。

In terns of the general theory of linear algebra, reduced matrix for the operator M are similar to a Jordan matrix J, namely M = S~lJS .

当约化矩阵M不可对角化时，根据线形代数的一般理论，这时约化矩阵M与一个约当矩阵J相似，即M=S~(-1)JS，其中S是关于k，q_0的任意可逆矩阵。

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan's normal form, and based on this property,the reducing matrix was taken as the transformation one. Thus all eigenvalues and eigenvectors of the system can be obtained.

利用具有完全特征向量系的矩阵在约化若当标准型过程中可正交相似对角矩阵的特性，将变换矩阵取为约化若当标准型过程中的分解矩阵，从而求出所求系统的特征问题的全部特征值和相应的特征向量。

In this paper,first,we analysis that there is an upper triangular matrix or a lower triangular matrix which is similar to a square matrix.

而当n比较大时，若A中的元素含非零元素比较多，这时求特征多项式有时也比较复杂。

The matrix similarity also is matrix theory side important at the same place, develops has emphatically the big significance to the matrix similar research.

矩阵相似性又是矩阵理论的极重要一块，开展对矩阵相似性的研究有着重大意义。

The results revealed that a nano-fibrous matrix made of PHA materials had been formed through unique solution process, the nano-fibrous matrix is similar to the structure of collagen, which is the main component of extracellular matrix, and its average diameter of the fiber is ranged 80～350 nm.

同时，通过扫描电镜的检测发现了具有纳米纤维网状结构的PHA新型支架材料，这种通过溶剂处理法获得的PHA纳米纤维支架与细胞外基质的主要成份胶原蛋白的结构非常类似，它的纤维直径平均大小在80-350 nm 之间。

After studying this phenomenon, the author finds that, the covariance matrix of the complex expressions of horizontal gradients of the disturbing gravity field elements has a structure of blockwise repetitive Toeplitz matrix, though the covariance within the disturbing gravity field elements is still anisotropic. Therefore, the collocation problem of the complex combination of horizontal components is similar to that of gravity anomaly, which makes the degradation be able to be completed by FFT transformation matrix.

作者研究发现，利用水平梯度的复组合，即复数表示后，扰动重力场元复组合之间的协方差函数尽管还是各向异性，但它们对应的协方差矩阵却具有分块 Toeplitz 循环阵的结构，因而水平分量复组合的配置问题与重力异常的配置问题相似，可以利用傅立叶变换矩阵进行降阶处理。

The factorization of a complex skew-symmetric normal matrix ,which is similar to a complex symmetric normal matrix ,was demonstrated using a logically similar method.

提出一个复矩阵是对称酉矩阵的充要条件，并用逻辑上类似的方法证明一个类似于复对称正规矩阵的复斜对称正规矩阵的分解，最后对复斜对称矩阵得到了类似于复对称矩阵Takagi分解的结论。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷