并且给出了立体阵的转置矩阵的定义，得到了立体阵的转置矩阵和共轭矩阵的定义和性质。
The definition of the transposed matrices is given, and gotten some properties of the transposed matrices and the conjugated matrices.
摘要研究了四元数矩阵分解为两个自共轭矩阵乘积，其中有一个是非奇异阵的条件，得到了一些有用的结果。
It is studied factorizing a matrix over quaternion field to the product of two self - conjugate matrices . and some useful results are obtained.
选择共轭梯度法解决由有限元法形成的大型稀疏矩阵方程，应用FORTRAN语言编制了数值模拟系统软件。
Conjugate gradient method were choosed to solve the large sparse matrix equations induced by the FEM and computer language FORTRAN was used to programme the numerical simulation system software.
讨论了复数矩阵的数据结构和共轭转置运算的算法实现，并给出该算法的时间复杂度。
The paper deals with the data structure of plural matrix and the achievement of method about associate operation, and gives its complex degree of time.
共轭梯度法是最优化中最常用的方法之一，它具有算法简便、不需要矩阵存储等优点，十分适合于大规模优化问题。
Conjugate gradient method, which can be easily computed and requires no matrix storage, is one of the most popular and useful method for solving large scale optimization problems.
给出了自共轭四元数矩阵的弱圈积的特征值的一些不等式。
Some inequalities of eigenvalues for weak cycle products of self-conjugate quaternion matrices are given.
特勒根定理2是电路理论中的重要定理。本文用矩阵方法分析其共轭性，最后给出特勒根定理完整的矩阵表述。
Tellegen's theorem 2 is important in circuit theory. This paper analyzes its conjugation with matrix method and represents the complete matrix formulation of Tellegen's theorem.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
本文编制出用共轭斜量法解有限元方程组的程序，主要改进了已有的结构刚度矩阵的存储方式。
A program with improved storage mode of structure stiffness matrix for such a solution is presented.
为了克服这一困难，本文通过引进一个仿射变换矩阵，构造仿射投影既约预条件共轭梯度路径来搜索获得迭代方向。
In order to overcome the difficulties, we introduce an affine scaling matrix, and form the affine scaling reduced preconditional conjugate gradient path to obtain a new accepted step.
本文用矩阵光学推导出了相位共轭腔的热稳条件。
In this paper, the thermal stability of the phase conjugate resonator has been deduced from the matrix optical methods.
利用转移矩阵方法，研究了负介电常数材料和负磁导率材料组成的双层共轭结构的共振隧穿问题。
The resonance and tunneling problem of pairing conjugate structure consisting of negative permittivity and negative permeability materials were studied by using transfer matrix methods.
利用四元数矩阵的加权共轭转置定义了四元数矩阵的加权左（右）序，给出了加权左（右） 序的一些等价刻画，推广了以往文献的相应结果。
The weighted right (left) star partial ordering is defined though the weighted conjugate of the matrix , some characterisation of its is obtained, the existed results are extended.
本算法用自适应算法，二次型共轭梯度算法，解前后向预测构成的矩阵方程。
The new algorithm uses the quadratic conjugate gradient algorithm (QCGA) to solve the forward-backward linear prediction matrix equation.
提出了最大共轭化常数矩阵的概念，并证明了最大共轭化常数矩阵为二阶正交阵。
The concept of maximal constant matrix of conjugation is also given, and it is proved that the maximal constant matrix of conjugation is an orthogonal matrix of order two.
并根据滤波矩阵的特殊性，？用共轭梯度法求解滤波方程。
According to the filter matrix particularity, the filter equation was solved by using conjugate gradient method.
第三章利用矩阵理论与重合度理论，讨论了一类非自共轭非线性二阶差分方程周期解的存在性问题。
Chapter 3 is centered around the existence of periodical solutions for non self-adjoint nonlinear second order difference equations by invoking matrix theory and coincide degree theory.
第三章利用矩阵理论与重合度理论，讨论了一类非自共轭非线性二阶差分方程周期解的存在性问题。
Chapter 3 is centered around the existence of periodical solutions for non self-adjoint nonlinear second order difference equations by invoking matrix theory and coincide degree theory.
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